Schneider, Moritz Super-convergent implicit-explicit peer methods. (English) Zbl 1492.65001 München: Dr. Hut; Darmstadt: TU Darmstadt (Diss.) (ISBN 978-3-8439-4832-6/pbk). xii, 149 p. (2021). MSC: 65-02 65L04 65L06 65B05 65L20 PDFBibTeX XMLCite \textit{M. Schneider}, Super-convergent implicit-explicit peer methods. München: Dr. Hut; Darmstadt: TU Darmstadt (Diss.) (2021; Zbl 1492.65001)
Ong, Benjamin (ed.); Schroder, Jacob (ed.); Shipton, Jemma (ed.); Friedhoff, Stephanie (ed.) Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. (English) Zbl 1483.65009 Springer Proceedings in Mathematics & Statistics 356. Cham: Springer (ISBN 978-3-030-75932-2/hbk; 978-3-030-75933-9/ebook). ix, 127 p. (2021). MSC: 65-06 65Y05 65Y20 65L06 65M12 65M55 00B25 PDFBibTeX XMLCite \textit{B. Ong} (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8--12, 2020. Cham: Springer (2021; Zbl 1483.65009) Full Text: DOI
Eshkabilov, Sulaymon L. Practical MATLAB modeling with Simulink. Programming and simulating ordinary and partial differential equations. (English) Zbl 1483.65002 Berkeley, CA: Apress (ISBN 978-1-4842-5798-2/pbk; 978-1-4842-5799-9/ebook). xxii, 473 p. (2020). Reviewer: Michael Jung (Dresden) MSC: 65-01 65Y15 65-04 65Lxx 65L05 65L06 65L04 65L10 65Mxx 74-10 78-10 82-10 PDFBibTeX XMLCite \textit{S. L. Eshkabilov}, Practical MATLAB modeling with Simulink. Programming and simulating ordinary and partial differential equations. Berkeley, CA: Apress (2020; Zbl 1483.65002) Full Text: DOI
Sanz-Serna, Jesús María; Calvo, M. P. Numerical Hamiltonian problems. Reprint of the 1994 original published by Chapman & Hall. (English) Zbl 1418.65002 Mineola, NY: Dover Publications (ISBN 978-0-486-82410-9). xii, 207 p. (2018). MSC: 65-02 65L05 65L06 65L50 65P10 37J99 70H05 PDFBibTeX XMLCite \textit{J. M. Sanz-Serna} and \textit{M. P. Calvo}, Numerical Hamiltonian problems. Reprint of the 1994 original published by Chapman \& Hall. Mineola, NY: Dover Publications (2018; Zbl 1418.65002)
Wagner, Lisa Sabine Second-order implicit methods for conservation laws with applications in water supply networks. (English) Zbl 06975081 Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). v, 121 p., open access (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65-02 65Z05 65L06 65N08 65N30 35L65 65M08 65M60 76M12 76M10 PDFBibTeX XMLCite \textit{L. S. Wagner}, Second-order implicit methods for conservation laws with applications in water supply networks. Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2018; Zbl 06975081) Full Text: Link Link
Bakushinsky, Anatoly B.; Kokurin, Mikhail M.; Kokurin, Mikhail Yu. Regularization algorithms for ill-posed problems. (English) Zbl 1436.65004 Inverse and Ill-Posed Problems Series 61. Berlin: De Gruyter (ISBN 978-3-11-055630-8/hbk; 978-3-11-055735-0/ebook). xvi, 323 p. (2018). Reviewer: Robert Plato (Siegen) MSC: 65-02 65J22 65J20 47A52 47J06 49N45 65F22 65L06 65R30 65R32 PDFBibTeX XMLCite \textit{A. B. Bakushinsky} et al., Regularization algorithms for ill-posed problems. Berlin: De Gruyter (2018; Zbl 1436.65004) Full Text: DOI
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes Richardson extrapolation. Practical aspects and applications. (English) Zbl 1478.65003 De Gruyter Series in Applied and Numerical Mathematics 2. Berlin: De Gruyter (ISBN 978-3-11-051649-4/hbk; 978-3-11-053300-2/ebook). xvii, 292 p. (2018). Reviewer: Raffaella Pavani (Milano) MSC: 65-02 65B05 65L06 65L20 65L04 65M12 PDFBibTeX XMLCite \textit{Z. Zlatev} et al., Richardson extrapolation. Practical aspects and applications. Berlin: De Gruyter (2018; Zbl 1478.65003) Full Text: DOI
Rath, Alexander Global error estimation for stiff differential equations. (English) Zbl 1383.65087 München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8439-3134-2/pbk). viii, 95 p. (2017). MSC: 65L70 65L04 65L05 65L20 34A34 65L06 65M20 PDFBibTeX XMLCite \textit{A. Rath}, Global error estimation for stiff differential equations. München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2017; Zbl 1383.65087)
Hermann, Martin Numerical analysis of ordinary differential equations. Vol. 1: Initial value problems and linear boundary value problems. 2nd revised edition. (Numerik gewöhnlicher Differentialgleichungen. Band 1: Anfangswertprobleme und lineare Randwertprobleme.) (German) Zbl 1379.65045 De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-050036-3/pbk; 978-3-11-049888-2/ebook). x, 291 p. (2017). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 65L05 65L10 65-02 65L06 65L04 65L20 34A34 34B05 PDFBibTeX XMLCite \textit{M. Hermann}, Numerik gewöhnlicher Differentialgleichungen. Band 1: Anfangswertprobleme und lineare Randwertprobleme. 2nd revised edition. Berlin: De Gruyter (2017; Zbl 1379.65045) Full Text: DOI
Hazra, Arijit Numerical simulation of Bloch equations for dynamic magnetic resonance imaging. (English) Zbl 1361.94003 Göttingen: Univ. Göttingen (Diss.). xv, 139 p. (2016). MSC: 94-02 94A08 68U10 65L06 PDFBibTeX XMLCite \textit{A. Hazra}, Numerical simulation of Bloch equations for dynamic magnetic resonance imaging. Göttingen: Univ. Göttingen (Diss.) (2016; Zbl 1361.94003) Full Text: Link Link
Scholz, Daniel Numerical analysis interactive. Understanding the basics, exploring models and applying methods with taramath. (Numerik interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden mit taramath.) (German) Zbl 1358.65002 Heidelberg: Springer Spektrum (ISBN 978-3-662-52939-3/pbk; 978-3-662-52940-9/ebook). xiv, 252 p. (2016). Reviewer: Michael Jung (Dresden) MSC: 65-01 97N10 00A06 68N15 65Fxx 65H10 65D05 65D32 65L05 65L06 65L10 65L12 65L60 65T50 PDFBibTeX XMLCite \textit{D. Scholz}, Numerik interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden mit taramath. Heidelberg: Springer Spektrum (2016; Zbl 1358.65002) Full Text: DOI
Römisch, Werner; Zeugmann, Thomas Mathematical analysis and the mathematics of computation. (English) Zbl 1358.65001 Cham: Springer (ISBN 978-3-319-42753-9/hbk; 978-3-319-42755-3/ebook). xxiii, 703 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 26-01 46-01 65H10 65L05 65K05 65R20 65J15 PDFBibTeX XMLCite \textit{W. Römisch} and \textit{T. Zeugmann}, Mathematical analysis and the mathematics of computation. Cham: Springer (2016; Zbl 1358.65001) Full Text: DOI
Schröder, Dirk Peer methods in optimal control. (English) Zbl 1351.65043 Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.). 109 p. (2016). MSC: 65K10 49J15 49J20 PDFBibTeX XMLCite \textit{D. Schröder}, Peer methods in optimal control. Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2016; Zbl 1351.65043) Full Text: Link Link
Demailly, Jean-Pierre Numerical analysis and differential equations. 4th edition. (Analyse numérique et équations différentielles.) (French) Zbl 1362.65001 Grenoble Sciences. Les Ulis: EDP Sciences (ISBN 978-2-7598-1926-3/pbk; 978-2-7598-2004-7/ebook). vii, 368 p. (2016). MSC: 65-01 34-01 65L05 65L06 65D32 65H10 PDFBibTeX XMLCite \textit{J.-P. Demailly}, Analyse numérique et équations différentielles. 4th edition. Les Ulis: EDP Sciences (2016; Zbl 1362.65001)
Saha Ray, Santanu Numerical analysis with algorithms and programming. (English) Zbl 1359.65002 Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016). Reviewer: Hang Lau (Montréal) MSC: 65-01 68N15 65Y15 65H05 65H10 65D05 65D07 65D25 65D32 65B15 65F05 65F10 65L06 65L10 65L12 65L60 65F15 65D10 65M06 35K20 35L20 65N06 35J05 65N30 PDFBibTeX XMLCite \textit{S. Saha Ray}, Numerical analysis with algorithms and programming. Boca Raton, FL: CRC Press (2016; Zbl 1359.65002)
Stickler, Benjamin A.; Schachinger, Ewald Basic concepts in computational physics. 2nd edition. (English) Zbl 1343.65002 Cham: Springer (ISBN 978-3-319-27263-4/hbk; 978-3-319-27265-8/ebook). xvi, 409 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 65C05 65C10 65C20 65C40 65L06 65L10 65M30 65N06 65Z05 82C44 65D25 65D32 70E17 PDFBibTeX XMLCite \textit{B. A. Stickler} and \textit{E. Schachinger}, Basic concepts in computational physics. 2nd edition. Cham: Springer (2016; Zbl 1343.65002) Full Text: DOI Link
Blanes, Sergio; Casas, Fernando A concise introduction to geometric numerical integration. (English) Zbl 1343.65146 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6342-8/hbk; 978-1-4822-6344-2/ebook). xiv, 218 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65M06 65M70 70F05 70H05 00A06 65-02 37M15 65L06 65L60 35K20 65L70 35Q41 PDFBibTeX XMLCite \textit{S. Blanes} and \textit{F. Casas}, A concise introduction to geometric numerical integration. Boca Raton, FL: CRC Press (2016; Zbl 1343.65146) Full Text: DOI
Brugnano, Luigi; Iavernaro, Felice Line integral methods for conservative problems. (English) Zbl 1335.65097 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6384-8/hbk; 978-1-4822-6385-5/ebook). xvi, 222 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65-02 65L06 37M15 37K05 37J05 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{F. Iavernaro}, Line integral methods for conservative problems. Boca Raton, FL: CRC Press (2016; Zbl 1335.65097) Full Text: DOI
Wu, Xinyuan; Liu, Kai; Shi, Wei Structure-preserving algorithms for oscillatory differential equations II. (English) Zbl 1352.65187 Berlin: Springer; Beijing: Science Press (ISBN 978-3-662-48155-4/hbk; 978-3-662-48156-1/ebook). xv, 298 p. (2015). Reviewer: Roland Pulch (Greifswald) MSC: 65L05 65-02 65L06 65L70 65P10 34C10 37M15 37J05 PDFBibTeX XMLCite \textit{X. Wu} et al., Structure-preserving algorithms for oscillatory differential equations II. Berlin: Springer; Beijing: Science Press (2015; Zbl 1352.65187) Full Text: DOI
Li, Changpin; Zeng, Fanhai Numerical methods for fractional calculus. (English) Zbl 1326.65033 Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series. Boca Raton, FL: CRC Press (ISBN 978-1-4822-5380-1/hbk; 978-1-4822-5381-8/ebook). xviii, 281 p. (2015). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D30 65-02 65D25 26A33 26-02 65L05 65M06 65M60 34A08 35R11 65L06 PDFBibTeX XMLCite \textit{C. Li} and \textit{F. Zeng}, Numerical methods for fractional calculus. Boca Raton, FL: CRC Press (2015; Zbl 1326.65033) Full Text: arXiv Link
Kuhn, Karen Stability and applications of higher-order multirate Rosenbrock and Peer methods. (English) Zbl 1329.65165 München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-8439-1584-7/pbk). viii, 108 p. (2014). MSC: 65L20 65L05 65L06 65L04 34A34 65L50 PDFBibTeX XMLCite \textit{K. Kuhn}, Stability and applications of higher-order multirate Rosenbrock and Peer methods. München: Dr. Hut; Darmstadt: TU Darmstadt, Fachbereich Mathematik (Diss.) (2014; Zbl 1329.65165)
Lenz, Simon Manfred Impulsive hybrid discrete-continuous delay differential equations. (English) Zbl 1294.65073 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). xi, 338 p. (2014). MSC: 65L03 34K28 34K34 34K45 65L06 65L05 65L20 65D25 PDFBibTeX XMLCite \textit{S. M. Lenz}, Impulsive hybrid discrete-continuous delay differential equations. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2014; Zbl 1294.65073) Full Text: Link
Stickler, Benjamin A.; Schachinger, Ewald Basic concepts in computational physics. (English) Zbl 1287.65002 Cham: Springer (ISBN 978-3-319-02434-9/hbk; 978-3-319-02435-6/ebook). xvii, 377 p. (2014). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-01 65C05 65C10 65C20 65C40 65L06 65L10 65M30 65N06 65Z05 82C44 65D25 65D32 70E17 PDFBibTeX XMLCite \textit{B. A. Stickler} and \textit{E. Schachinger}, Basic concepts in computational physics. Cham: Springer (2014; Zbl 1287.65002) Full Text: DOI
Nassif, Nabil R.; Fayyad, Dolly Khuwayri Introduction to numerical analysis and scientific computing. (English) Zbl 1281.65001 Boca Raton, FL: CRC Press (ISBN 978-1-4665-8948-3/hbk; 978-1-4665-8950-6/ebook). xix, 311 p. (2014). Reviewer: Trung Thanh Nguyen (Charlotte) MSC: 65-01 65Dxx 65C05 65L06 00A06 65H05 65F05 65Y15 PDFBibTeX XMLCite \textit{N. R. Nassif} and \textit{D. K. Fayyad}, Introduction to numerical analysis and scientific computing. Boca Raton, FL: CRC Press (2014; Zbl 1281.65001)
Hackbusch, Wolfgang The concept of stability in numerical mathematics. (English) Zbl 1321.65139 Springer Series in Computational Mathematics 45. Berlin: Springer (ISBN 978-3-642-39385-3/hbk; 978-3-642-39386-0/ebook). xv, 188 p. (2014). Reviewer: M. Plum (Karlsruhe) MSC: 65M12 65N12 65L20 65-02 65R20 65L05 65D32 65D05 65L06 34A34 65M06 65N30 35K20 35L20 35J25 45B05 PDFBibTeX XMLCite \textit{W. Hackbusch}, The concept of stability in numerical mathematics. Berlin: Springer (2014; Zbl 1321.65139) Full Text: DOI
Rattana, Amornrat Direct and inverse Sturm-Liouville problems of order four. (English) Zbl 1285.65045 Potsdam: Univ. Potsdam, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). xii, 121 p. (2013). MSC: 65L05 65L06 65L20 34A34 34A55 65L09 PDFBibTeX XMLCite \textit{A. Rattana}, Direct and inverse Sturm-Liouville problems of order four. Potsdam: Univ. Potsdam, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2013; Zbl 1285.65045)
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDFBibTeX XMLCite \textit{R. M. Corless} and \textit{N. Fillion}, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. New York, NY: Springer (2013; Zbl 1295.65001) Full Text: DOI
Scherer, Philipp O. J. Computational physics. Simulation of classical and quantum systems. 2nd ed. (English) Zbl 1303.82008 Graduate Texts in Physics. Cham: Springer (ISBN 978-3-319-00400-6/hbk; 978-3-319-00401-3/ebook). xviii, 454 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 82-02 65Z05 65-01 82-08 00A06 00A79 PDFBibTeX XMLCite \textit{P. O. J. Scherer}, Computational physics. Simulation of classical and quantum systems. 2nd ed. Cham: Springer (2013; Zbl 1303.82008) Full Text: DOI
Wu, Xinyuan; You, Xiong; Wang, Bin Structure-preserving algorithms for oscillatory differential equations. (English) Zbl 1276.65041 Berlin: Springer; Beijing: Science Press (ISBN 978-3-642-35337-6/hbk; 978-3-642-35338-3/ebook). xii, 236 p. (2013). Reviewer: Roland Pulch (Greifswald) MSC: 65L05 65-02 65L06 65P10 34A34 34C10 37M15 37J05 PDFBibTeX XMLCite \textit{X. Wu} et al., Structure-preserving algorithms for oscillatory differential equations. Berlin: Springer; Beijing: Science Press (2013; Zbl 1276.65041) Full Text: DOI
Cordani, Bruno Geography of order and chaos in mechanics. Investigations of quasi-integrable systems with analytical, numerical, and graphical tools. (English) Zbl 1258.70001 Progress in Mathematical Physics 64. New York: Birkhäuser (ISBN 978-0-8176-8369-6/hbk; 978-0-8176-8370-2/ebook). xviii, 332 p. (2013). Reviewer: Nicolas Roy (Berlin) MSC: 70-01 37J40 70F15 37J05 70H08 70H33 65P10 37J15 37N05 37M10 65L06 PDFBibTeX XMLCite \textit{B. Cordani}, Geography of order and chaos in mechanics. Investigations of quasi-integrable systems with analytical, numerical, and graphical tools. New York: Birkhäuser (2013; Zbl 1258.70001) Full Text: DOI
Bellen, Alfredo; Zennaro, Marino Numerical methods for delay differential equations. Reprint of the 2003 hardback ed. (English) Zbl 1255.65129 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-967137-3/pbk). xiv, 395 p. (2013). MSC: 65L05 65L06 34K28 34K40 65-02 65L70 65L50 65L20 PDFBibTeX XMLCite \textit{A. Bellen} and \textit{M. Zennaro}, Numerical methods for delay differential equations. Reprint of the 2003 hardback ed. Oxford: Oxford University Press (2013; Zbl 1255.65129)
Beigel, Dörte Efficient goal-oriented global error estimation for BDF-type methods using discrete adjoints. (English) Zbl 1260.65061 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). xx, 175 p. (2012). MSC: 65L05 65L60 65L50 34A34 PDFBibTeX XMLCite \textit{D. Beigel}, Efficient goal-oriented global error estimation for BDF-type methods using discrete adjoints. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2012; Zbl 1260.65061)
Reinhardt, Hans-Jürgen Numerical methods of ordinary differential equations. Initial and boundary value problems. 2nd revised ed. (Numerik gewöhnlicher Differentialgleichungen. Anfangs- und Randwertprobleme.) (German) Zbl 1264.65108 De Gruyter Studium. Berlin: de Gruyter (ISBN 978-3-11-028045-6/pbk; 978-3-11-028046-3/ebook). xi, 297 p. (2012). Reviewer: Othmar Koch (Baden) MSC: 65L05 65L10 65-01 65L12 65L60 65L70 65L04 65L06 65L50 34A34 34B15 PDFBibTeX XMLCite \textit{H.-J. Reinhardt}, Numerik gewöhnlicher Differentialgleichungen. Anfangs- und Randwertprobleme. 2nd revised ed. Berlin: de Gruyter (2012; Zbl 1264.65108) Full Text: DOI
Verwer, Jan (ed.); Hundsdorfer, Willem (ed.); Arnold, Martin (ed.); Weiner, Rüdiger (ed.) Special issue: NUMDIFF-12. Selected papers based on the presentations at the 12th seminar on the numerical solution of differential and differential-algebraic equations, Halle, Germany, September 14–18, 2009. (English) Zbl 1250.65009 Appl. Numer. Math. 62, No. 10, 1257-1603 (2012). MSC: 65-06 65L06 65L80 65Z05 00B25 PDFBibTeX XML
Strehmel, Karl; Weiner, Rüdiger; Podhaisky, Helmut Numerical methods for ordinary differential equations. Nonstiff, stiff, and differential-algebraic equations. 2nd revised and expanded ed. (Numerik gewöhnlicher Differentialgleichungen. Nichtsteife, steife und differential-algebraische Gleichungen. German.) (English) Zbl 1256.65073 Studium. Heidelberg: Springer Spektrum (ISBN 978-3-8348-1847-8/pbk; 978-3-8348-2263-5/ebook). xi, 505 p. (2012). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65L05 65-01 65L06 65L20 65L50 34A09 65L70 65-02 34A34 PDFBibTeX XMLCite \textit{K. Strehmel} et al., Numerik gewöhnlicher Differentialgleichungen. Nichtsteife, steife und differential-algebraische Gleichungen. German. 2nd revised and expanded ed. Heidelberg: Springer Spektrum (2012; Zbl 1256.65073) Full Text: DOI
Ramnath, Rudrapatna V. Computation and asymptotics. (English) Zbl 1240.65215 SpringerBriefs in Applied Sciences and Technology. Computational Mechanics. Berlin: Springer (ISBN 978-3-642-25748-3/pbk; 978-3-642-25749-0/ebook). xv, 120 p. (2012). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L06 34E05 65-02 65L20 65D25 65D32 70M20 PDFBibTeX XMLCite \textit{R. V. Ramnath}, Computation and asymptotics. Berlin: Springer (2012; Zbl 1240.65215) Full Text: DOI
Gottlieb, Sigal; Ketcheson, David; Shu, Chi-Wang Strong stability preserving Runge-Kutta and multistep time discretizations. (English) Zbl 1241.65064 Hackensack, NJ: World Scientific (ISBN 978-981-4289-26-9/hbk; 978-981-4289-27-6/ebook). xii, 176 p. (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L20 65-02 65L05 65M20 35L51 34A34 PDFBibTeX XMLCite \textit{S. Gottlieb} et al., Strong stability preserving Runge-Kutta and multistep time discretizations. Hackensack, NJ: World Scientific (2011; Zbl 1241.65064) Full Text: Link
Zulehner, Walter Numerical mathematics. An introduction by means of differential equation problems. Vol. II: Instationary problems. (Numerische Mathematik. Eine Einführung anhand von Differentialgleichungsproblemen. Band 2: Instationäre Probleme.) (German) Zbl 1235.65117 Mathematik Kompakt. Basel: Birkhäuser (ISBN 978-3-7643-8428-9/pbk). v, 156 p. (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M20 65-01 65L10 35K20 35L20 65L06 65L04 PDFBibTeX XMLCite \textit{W. Zulehner}, Numerische Mathematik. Eine Einführung anhand von Differentialgleichungsproblemen. Band 2: Instationäre Probleme. Basel: Birkhäuser (2011; Zbl 1235.65117)
Griffiths, David F.; Higham, Desmond J. Numerical methods for ordinary differential equations. Initial value problems. (English) Zbl 1209.65070 Springer Undergraduate Mathematics Series. London: Springer (ISBN 978-0-85729-147-9/pbk; 978-0-85729-148-6/ebook). xiv, 271 p. (2010). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65L05 65-01 65L06 65L07 65C30 34A12 60H10 34F05 65L50 34A26 PDFBibTeX XMLCite \textit{D. F. Griffiths} and \textit{D. J. Higham}, Numerical methods for ordinary differential equations. Initial value problems. London: Springer (2010; Zbl 1209.65070) Full Text: DOI
Feng, Kang; Qin, Mengzhao Symplectic geometric algorithms for Hamiltonian systems. With a foreword by Feng Duan and a preface by Qin, Mengzhao. (English) Zbl 1207.65149 Hangzhou: Zhejiang Publishing United Group, Zhejiang Science and Technology Publishing House; Berlin: Springer (ISBN 978-7-5341-3595-8; 978-3-642-01776-6/hbk). xxiii, 676 p. (2010). Reviewer: Kevin Burrage (Brisbane) MSC: 65P10 65-02 65L06 37J40 37J05 37M15 37K05 37K55 PDFBibTeX XMLCite \textit{K. Feng} and \textit{M. Qin}, Symplectic geometric algorithms for Hamiltonian systems. With a foreword by Feng Duan and a preface by Qin, Mengzhao. Hangzhou: Zhejiang Publishing United Group, Zhejiang Science and Technology Publishing House; Berlin: Springer (2010; Zbl 1207.65149) Full Text: DOI
Jackiewicz, Zdzisław General linear methods for ordinary differential equations. (English) Zbl 1211.65095 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-40855-1/hbk; 978-0-470-52216-5/ebook). xv, 482 p. (2009). Reviewer: R. K. Mohanty (Delhi) MSC: 65L06 34-01 65-02 34A34 65L05 65L20 65L70 65L60 65L50 PDFBibTeX XMLCite \textit{Z. Jackiewicz}, General linear methods for ordinary differential equations. Hoboken, NJ: John Wiley \& Sons (2009; Zbl 1211.65095) Full Text: DOI
Klöfkorn, Robert Numerics for evolution equations. A general interface based design concept. (English) Zbl 1184.65088 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 275 p. (2009). MSC: 65M20 65L06 35L45 65Y05 PDFBibTeX XMLCite \textit{R. Klöfkorn}, Numerics for evolution equations. A general interface based design concept. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2009; Zbl 1184.65088) Full Text: Link
Küpper, Dominique Runge-Kutta methods for stochastic differential-algebraic equations. (English) Zbl 1183.65006 Mathematik. München: Dr. Hut; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-86853-245-6/pbk). vii, 158 p. (2009). MSC: 65C30 60H10 60H35 34F05 65L06 65L20 34A09 65L80 PDFBibTeX XMLCite \textit{D. Küpper}, Runge-Kutta methods for stochastic differential-algebraic equations. München: Dr. Hut; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (2009; Zbl 1183.65006) Full Text: Link
Atkinson, Kendall E.; Han, Weimin; Stewart, David E. Numerical solution of ordinary differential equations. (English) Zbl 1168.65004 Pure and Applied Mathematics. A Wiley Series of Texts, Monographs and Tracts. Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-04294-6/hbk). xii, 252 p. (2009). Reviewer: Manuel Calvo (Zaragoza) MSC: 65-02 65L05 65L06 65L10 65L80 65M20 65R20 34A34 65L20 PDFBibTeX XMLCite \textit{K. E. Atkinson} et al., Numerical solution of ordinary differential equations. Hoboken, NJ: John Wiley \& Sons (2009; Zbl 1168.65004)
Iserles, Arieh A first course in the numerical analysis of differential equations. 2nd ed. (English) Zbl 1171.65060 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-73490-5/pbk). xix, 459 p. (2009). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65-01 65Lxx 65Nxx 65F05 65F10 65H10 PDFBibTeX XMLCite \textit{A. Iserles}, A first course in the numerical analysis of differential equations. 2nd ed. Cambridge: Cambridge University Press (2009; Zbl 1171.65060) Full Text: DOI
Alles, Benjamin Coupled drift-diffusion problems with implicit source functions and their applications. (English) Zbl 1147.78304 Bereichte aus der Mathematik. Aachen: Shaker Verlag; München: Univ. München, Fakultät für Mathematik (Diss.) (ISBN 978-3-8322-7394-1/pbk). x, 114 p. (2008). MSC: 78A35 65L06 65D32 65N30 65M60 82D37 35J05 78A30 PDFBibTeX XMLCite \textit{B. Alles}, Coupled drift-diffusion problems with implicit source functions and their applications. Aachen: Shaker Verlag; München: Univ. München, Fakultät für Mathematik (Diss.) (2008; Zbl 1147.78304) Full Text: Link
Butcher, J. C. Numerical methods for ordinary differential equations. 2nd revised ed. (English) Zbl 1167.65041 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-72335-7/hbk; 978-0-470-75376-7/ebook). xix, 463 p. (2008). Reviewer: Alexander G. Ramm (Manhattan) MSC: 65L06 65-02 PDFBibTeX XMLCite \textit{J. C. Butcher}, Numerical methods for ordinary differential equations. 2nd revised ed. Hoboken, NJ: John Wiley \& Sons (2008; Zbl 1167.65041) Full Text: DOI
Ascher, Uri M. Numerical methods for evolutionary differential equations. (English) Zbl 1157.65048 Computational Science & Engineering 5. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-52-8/pbk; 978-0-898718-91-1/ebook). xiv, 395 p. (2008). Reviewer: Gudula Rünger (Chemnitz) MSC: 65Mxx 65Lxx 65L06 65M06 65Nxx 65N06 65-01 PDFBibTeX XMLCite \textit{U. M. Ascher}, Numerical methods for evolutionary differential equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2008; Zbl 1157.65048) Full Text: DOI Link
Steinbrecher, Andreas Numerical solution of quasi-linear differential-algebraic equations and industrial simulation of multibody systems. (English) Zbl 1213.65115 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften; (Diss.). 319 p. (2006). MSC: 65L80 34A05 70F10 65L06 PDFBibTeX XMLCite \textit{A. Steinbrecher}, Numerical solution of quasi-linear differential-algebraic equations and industrial simulation of multibody systems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2006; Zbl 1213.65115) Full Text: Link
Quarteroni, Alfio; Saleri, Fausto Scientific computing with MATLAB and Octave. 2nd revised and expanded ed. (English) Zbl 1108.65002 Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 3-540-32612-X/hbk). xvi, 318 p. (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Hxx 65Dxx 65Fxx 65Lxx 65N06 65N30 15-04 12-04 34-04 68W30 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{F. Saleri}, Scientific computing with MATLAB and Octave. 2nd revised and expanded ed. Berlin: Springer (2006; Zbl 1108.65002)
Gheorgiu, Călin-Ioan Numerical methods for dynamical systems. (Metode numerice pentru sisteme dinamice.) (Romanian) Zbl 1098.65119 Cluj-Napoca: Casa Cărţii de Ştiinţă (ISBN 973-686-896-6/pbk). xiii, 203 p. (2006). Reviewer: Ivan Secrieru (Chişinău) MSC: 65Pxx 65L20 65P10 65P30 65N12 37Mxx 65-02 65-01 65P20 37M05 65L06 65M06 34A34 35K55 PDFBibTeX XMLCite \textit{C.-I. Gheorgiu}, Metode numerice pentru sisteme dinamice (Romanian). Cluj-Napoca: Casa Cărţii de Ştiinţă (2006; Zbl 1098.65119)
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. (English) Zbl 1094.65125 Springer Series in Computational Mathematics 31. Berlin: Springer (ISBN 3-540-30663-3/hbk). xvii, 644 p. (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65Lxx 34Cxx 37Cxx 37M15 37Jxx 70Fxx 65-02 PDFBibTeX XMLCite \textit{E. Hairer} et al., Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Berlin: Springer (2006; Zbl 1094.65125) Full Text: DOI
Bakaev, N. Yu. Linear discrete parabolic problems. (English) Zbl 1096.65094 North-Holland Mathematics Studies 203. Amsterdam: Elsevier (ISBN 0-444-52140-2/hbk). xv, 286 p. (2006). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 34G10 35K90 65M15 47D06 65L05 65M12 65-02 35K15 35K55 65L06 PDFBibTeX XMLCite \textit{N. Yu. Bakaev}, Linear discrete parabolic problems. Amsterdam: Elsevier (2006; Zbl 1096.65094) Full Text: Link
Kunkel, Peter; Mehrmann, Volker Differential-algebraic equations. Analysis and numerical solution. (English) Zbl 1095.34004 Zürich: European Mathematical Society Publishing House (ISBN 3-03719-017-5/hbk). viii, 377 p. (2006). Reviewer: Georgii P. Razmyslovich (Minsk) MSC: 34A09 34A12 34B15 65L80 65L06 65-01 34-01 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Differential-algebraic equations. Analysis and numerical solution. Zürich: European Mathematical Society Publishing House (2006; Zbl 1095.34004)
Roman, Luis J. A short introduction to numerical analysis of stochastic differential equations. (English) Zbl 1079.65013 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA) (ISBN 85-244-0236-9/pbk). iv, 70 p. (2005). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 60H35 65L06 65-01 PDFBibTeX XMLCite \textit{L. J. Roman}, A short introduction to numerical analysis of stochastic differential equations. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA) (2005; Zbl 1079.65013)
Sewell, Granville The numerical solution of ordinary and partial differential equations. 2nd ed. (English) Zbl 1089.65053 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Hoboken, NJ: John Wiley & Sons (ISBN 0-471-73580-9/hbk; 978-0-471-74201-2/ebook). xii, 333 p. (2005). Reviewer: M. Plum (Karlsruhe) MSC: 65Lxx 65-01 65Mxx 65Nxx 34-04 35-04 PDFBibTeX XMLCite \textit{G. Sewell}, The numerical solution of ordinary and partial differential equations. 2nd ed. Hoboken, NJ: John Wiley \& Sons (2005; Zbl 1089.65053) Full Text: DOI
Stoer, Josef; Bulirsch, Roland Numerical mathematics 2. An introduction – under consideration of lectures by F. L. Bauer. 5th ed. (Numerische Mathematik 2. Eine Einführung – unter Berücksichtigung von Vorlesungen von F. L. Bauer.) (English) Zbl 1070.65002 Springer-Lehrbuch. Berlin: Springer (ISBN 3-540-23777-1/pbk). x, 394 p. (2005). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65F15 65L06 65L10 34A34 65F10 PDFBibTeX XMLCite \textit{J. Stoer} and \textit{R. Bulirsch}, Numerische Mathematik 2. Eine Einführung -- unter Berücksichtigung von Vorlesungen von F. L. Bauer. 5th ed. Berlin: Springer (2005; Zbl 1070.65002) Full Text: DOI
Stanoyevitch, Alexander Introduction to numerical ordinary and partial differential equations using MATLAB. (English) Zbl 1071.65002 Hoboken, NJ: John Wiley & Sons (ISBN 0-471-69738-9/hbk; 0-471-69737-0/pbk). xiv, 813 p. (2005). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-02 65Lxx 65Mxx 65Nxx 68N15 65Y15 PDFBibTeX XMLCite \textit{A. Stanoyevitch}, Introduction to numerical ordinary and partial differential equations using MATLAB. Hoboken, NJ: John Wiley \& Sons (2005; Zbl 1071.65002)
Korobitsyn, V. V.; Frolova, Yu. V. Numerical methods and programming. (Chislennye metody i programmirovanie.) (Russian) Zbl 1095.65001 Omsk: Izd. Nasledie (ISBN 5-8239-0154-2). 184 p. (2004). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 65-01 65H05 65F10 65D05 62J02 65L06 68W30 PDFBibTeX XMLCite \textit{V. V. Korobitsyn} and \textit{Yu. V. Frolova}, Chislennye metody i programmirovanie (Russian). Omsk: Izd. Nasledie (2004; Zbl 1095.65001)
Ixaru, Liviu Gr.; Vanden Berghe, Guido Exponential fitting. With CD-ROM. (English) Zbl 1105.65082 Mathematics and its Applications (Dordrecht) 568. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2099-6/hbk). xiv, 308 p. (2004). Reviewer: John C. Butcher (Auckland) MSC: 65L06 65L05 65D05 65D25 34A34 65-02 65Y15 65D32 PDFBibTeX XMLCite \textit{L. Gr. Ixaru} and \textit{G. Vanden Berghe}, Exponential fitting. With CD-ROM. Dordrecht: Kluwer Academic Publishers (2004; Zbl 1105.65082)
Strikwerda, John C. Finite difference schemes and partial differential equations. 2nd ed. (English) Zbl 1071.65118 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-567-9/hbk). xii, 435 p. (2004). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65F10 65N22 65-02 65M06 65M12 65N06 65N12 35Jxx 35Kxx 35Lxx PDFBibTeX XMLCite \textit{J. C. Strikwerda}, Finite difference schemes and partial differential equations. 2nd ed. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2004; Zbl 1071.65118)
Leimkuhler, Benedict; Reich, Sebastian Simulating Hamiltonian dynamics. (English) Zbl 1069.65139 Cambridge Monographs on Applied and Computational Mathematics 14. Cambridge: Cambridge University Press (ISBN 0-521-77290-7/hbk; 978-0-511-61411-8/ebook). xvi, 379 p. (2004). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 65-02 65L06 70E55 70F10 70F20 70H05 70H15 37N05 37N15 37M15 37Jxx PDFBibTeX XMLCite \textit{B. Leimkuhler} and \textit{S. Reich}, Simulating Hamiltonian dynamics. Cambridge: Cambridge University Press (2004; Zbl 1069.65139) Full Text: DOI
Gheorghiu, C. I. Numerical methods for dynamical systems. (Romanian) Zbl 1062.65135 Cluj-Napoca: Casa Cărţii de Ştiinţă (ISBN 973-686-568-1/pbk). x, 151 p. (2004). Reviewer: Ivan Secrieru (Chişinău) MSC: 65P10 65L20 65P20 65-02 37M05 65L06 65M06 34A34 35K55 PDFBibTeX XMLCite \textit{C. I. Gheorghiu}, Numerical methods for dynamical systems (Romanian). Cluj-Napoca: Casa Cărţii de Ştiinţă (2004; Zbl 1062.65135)
Chahma, Ilyes Aïssa Set-valued discrete approximation of state-constrained differential inclusions. (English) Zbl 1073.65055 Bayreuther Mathematische Schriften 67. Bayreuth: Univ. Bayreuth, Mathematisches Institut; Bayreuth: Univ. Bayreuth, Fakultät für Mathematik und Physik (Diss.). 3-162. (2003). MSC: 65L05 34A60 65L70 65L20 65L06 PDFBibTeX XMLCite \textit{I. A. Chahma}, Set-valued discrete approximation of state-constrained differential inclusions. Bayreuth: Univ. Bayreuth, Mathematisches Institut; Bayreuth: Univ. Bayreuth, Fakultät für Mathematik und Physik (Diss.) (2003; Zbl 1073.65055)
Butcher, J. C. Numerical methods for ordinary differential equations. (English) Zbl 1040.65057 Chichester: Wiley (ISBN 0-471-96758-0/hbk). xiv, 425 p. (2003). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Lxx 34-01 34A12 65-02 PDFBibTeX XMLCite \textit{J. C. Butcher}, Numerical methods for ordinary differential equations. Chichester: Wiley (2003; Zbl 1040.65057) Backlinks: MO
Hundsdorfer, Willem; Verwer, Jan Numerical solution of time-dependent advection-diffusion-reaction equations. (English) Zbl 1030.65100 Springer Series in Computational Mathematics. 33. Berlin: Springer. x, 471 p. (2003). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65-02 65L06 65M06 65M60 92E20 80A32 80M25 65M12 PDFBibTeX XMLCite \textit{W. Hundsdorfer} and \textit{J. Verwer}, Numerical solution of time-dependent advection-diffusion-reaction equations. Berlin: Springer (2003; Zbl 1030.65100)
Bellen, Alfredo; Zennaro, Marino Numerical methods for delay differential equations. (English) Zbl 1038.65058 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 0-19-850654-6/hbk). xiv, 395 p. (2003). Reviewer: Z. Jackiewicz (Tempe) MSC: 65L05 65L06 34K28 34K40 65-02 65L70 65L50 65L20 PDFBibTeX XMLCite \textit{A. Bellen} and \textit{M. Zennaro}, Numerical methods for delay differential equations. Oxford: Oxford University Press (2003; Zbl 1038.65058) Full Text: DOI
Bongiovanni, Emmanuel Relaxation methods for the compressible Navier-Stokes equations. (Méthodes de relaxation pour les équations de Navier-Stokes compressibles.) (French) Zbl 1364.35233 Champs-sur-Marne: École Nationale des Ponts et Chaussées (Diss.). 165 p. (2002). MSC: 35Q30 35-02 76N15 65L06 PDFBibTeX XMLCite \textit{E. Bongiovanni}, Méthodes de relaxation pour les équations de Navier-Stokes compressibles. Champs-sur-Marne: École Nationale des Ponts et Chaussées (Diss.) (2002; Zbl 1364.35233) Full Text: HAL
van den Heuvel, Egidius Gerardus Stability analysis of numerical processes for solving delay differential equations. (English) Zbl 1070.65557 Leiden: Univ. Leiden, Faculteit der Wiskunde en Natuurwetenschappen en die der Geneeskunde (Diss.). ix, 94 p. (2002). MSC: 65L20 65L06 34K28 PDFBibTeX XMLCite \textit{E. G. van den Heuvel}, Stability analysis of numerical processes for solving delay differential equations. Leiden: Univ. Leiden, Faculteit der Wiskunde en Natuurwetenschappen en die der Geneeskunde (Diss.) (2002; Zbl 1070.65557)
Mattheij, Robert M.; Molenaar, Jaap Ordinary differential equations in theory and practice. Reprint of the 1996 original. (English) Zbl 1016.34001 Classics in Applied Mathematics. 43. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). xvii, 405 p. (2002). Reviewer: Sergiy Yanchuk (Kyïv) MSC: 34-02 65-02 PDFBibTeX XMLCite \textit{R. M. Mattheij} and \textit{J. Molenaar}, Ordinary differential equations in theory and practice. Reprint of the 1996 original. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2002; Zbl 1016.34001) Full Text: DOI
Gockenbach, Mark S. [Symes, W.] Partial differential equations. Analytical and numerical methods. With a foreword by William Symes. (English) Zbl 1022.35001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). xxii, 614 p., 1 CD-ROM (2002). Reviewer: Angela Handlovičová (Bratislava) MSC: 35-01 65-01 34-01 65M60 65N30 65L06 65L10 PDFBibTeX XMLCite \textit{M. S. Gockenbach}, Partial differential equations. Analytical and numerical methods. With a foreword by William Symes. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2002; Zbl 1022.35001)
Deuflhard, Peter; Bornemann, Folkmar Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. (English) Zbl 1001.65071 Texts in Applied Mathematics. 42. New York, NY: Springer. xix, 485 p. (2002). MSC: 65L05 65L06 65-02 65L50 65L80 34A09 34A34 34E13 65L20 PDFBibTeX XMLCite \textit{P. Deuflhard} and \textit{F. Bornemann}, Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. New York, NY: Springer (2002; Zbl 1001.65071)
Deuflhard, Peter; Bornemann, Folkmar Numerical mathematics. 2: Ordinary differential equations. 2., vollst. überarb. u. erweit. Aufl. (Numerische Mathematik. 2: Gewöhnliche Differentialgleichungen.) (German) Zbl 1004.65074 de Gruyter Lehrbuch. Berlin: de Gruyter. xii, 509 S. (2002). Reviewer: Werner H.Schmidt (Greifswald) MSC: 65L05 34A34 65L20 65L06 34A09 65-02 65L80 65L50 PDFBibTeX XMLCite \textit{P. Deuflhard} and \textit{F. Bornemann}, Numerische Mathematik. 2: Gewöhnliche Differentialgleichungen. 2., vollst. überarb. u. erweit. Aufl. Berlin: de Gruyter (2002; Zbl 1004.65074)
Peyret, Roger Spectral methods for incompressible viscous flow. (English) Zbl 1005.76001 Applied Mathematical Sciences. 148. New York, NY: Springer. xi, 432 p. (2002). Reviewer: Adabala Ramachandra Rao (Bangalore) MSC: 76-02 76M22 76D05 PDFBibTeX XMLCite \textit{R. Peyret}, Spectral methods for incompressible viscous flow. New York, NY: Springer (2002; Zbl 1005.76001)
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. (English) Zbl 0994.65135 Springer Series in Computational Mathematics. 31. Berlin: Springer. xiii, 515 p. (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65Lxx 34Cxx 37Cxx 37M15 37Jxx 70Fxx 65-02 PDFBibTeX XMLCite \textit{E. Hairer} et al., Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Berlin: Springer (2002; Zbl 0994.65135)
Schatzman, Michelle Numerical analysis. A mathematical introduction. Transl. from the French by John Taylor. (English) Zbl 1019.65003 Oxford: Clarendon Press. 512 p. (2002). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Fxx 65Dxx 65Lxx 65Txx 65Hxx 65M70 PDFBibTeX XMLCite \textit{M. Schatzman}, Numerical analysis. A mathematical introduction. Transl. from the French by John Taylor. Oxford: Clarendon Press (2002; Zbl 1019.65003)
Samokhin, A. B. Shestopalov, Yu. V. (ed.) Integral equations and iteration methods in electromagnetic scattering. Edited by Yu. V. Shestopalov. (English) Zbl 1145.78001 Utrecht: VSP (ISBN 90-6764-336-X/hbk). v, 101 p. (2001). Reviewer: Georg Hebermehl (Berlin) MSC: 78-02 78A45 78M25 78A25 65F10 65R20 PDFBibTeX XMLCite \textit{A. B. Samokhin} and \textit{Yu. V. Shestopalov} (ed.), Integral equations and iteration methods in electromagnetic scattering. Edited by Yu. V. Shestopalov. Utrecht: VSP (2001; Zbl 1145.78001)
Abdulle, Assyr Chebyshev methods based on orthogonal polynomials. (English) Zbl 1026.65076 Genève: Univ. de Genève, Faculté des Sciences, vii, 118 p. (2001). MSC: 65M20 35K55 34A34 65M12 65L06 65L20 PDFBibTeX XMLCite \textit{A. Abdulle}, Chebyshev methods based on orthogonal polynomials. Genève: Univ. de Genève, Faculté des Sciences (2001; Zbl 1026.65076)
Rodriguez Santiesteban, Antonio Ramon Asymptotic stability of index-2-algebro-differential equations and their discretization. (Asymptotische Stabilität von Index-2-Algebro-Differentialgleichungen und ihren Diskretisierungen.) (German) Zbl 1022.65086 Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II, electronic (2001). MSC: 65L20 65L06 34A09 65L80 65L05 PDFBibTeX XMLCite \textit{A. R. Rodriguez Santiesteban}, Asymptotische Stabilität von Index-2-Algebro-Differentialgleichungen und ihren Diskretisierungen. Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (2001; Zbl 1022.65086) Full Text: Link
Păltineanu, Gavriil; Matei, Pavel; Trandafir, Romică Fundamentals of numerical analysis. (Bazele analizei numerice.) (Romanian) Zbl 0998.65001 Bucuresti: Editura Printech. v, 284 p. (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65F05 65F10 65H10 65H17 65D05 65D25 65L05 65L06 65N30 34A34 35J05 PDFBibTeX XMLCite \textit{G. Păltineanu} et al., Bazele analizei numerice (Romanian). Bucuresti: Editura Printech (2001; Zbl 0998.65001)
Turner, Peter R. Guide to scientific computing. 2nd ed. (English) Zbl 1008.65001 Boca Raton, FL: Chapman & Hall/ CRC. ix, 301 p. (2001). Reviewer: R.Plato (Berlin) MSC: 65-01 65Dxx 65Fxx 65G50 65Hxx 65K10 65Lxx PDFBibTeX XMLCite \textit{P. R. Turner}, Guide to scientific computing. 2nd ed. Boca Raton, FL: Chapman \& Hall/ CRC (2001; Zbl 1008.65001)
Davis, Jon H. Differential equations with Maple. An interactive approach. With 1 CD-ROM. (English) Zbl 0970.65076 Boston: Birkhäuser. xiv, 409 p. (2001). Reviewer: René Lamour (Berlin) MSC: 65Lxx 34-01 65-01 65L06 65Y15 68W30 PDFBibTeX XMLCite \textit{J. H. Davis}, Differential equations with Maple. An interactive approach. With 1 CD-ROM. Boston: Birkhäuser (2001; Zbl 0970.65076)
Bauer, Irene Numerical methods for the solution of initial value problems and for the generation of first and second-order derivatives in optimisation problems of chemistry and process engineering. (Numerische Verfahren zur Lösung von Anfangswertaufgaben und zur Generierung von ersten und zweiten Ableitungen mit Anwendungen bei Optimierungsaufgaben in Chemie und Verfahrenstechnik.) (German) Zbl 0972.65051 Heidelberg: Univ. Heidelberg, Mathematisch-Naturwissenschaftliche Gesamtfakultät, iv, 169 p. (2000). MSC: 65L80 34A09 65K10 49J15 80A32 80A23 65L06 65L09 PDFBibTeX XMLCite \textit{I. Bauer}, Numerische Verfahren zur Lösung von Anfangswertaufgaben und zur Generierung von ersten und zweiten Ableitungen mit Anwendungen bei Optimierungsaufgaben in Chemie und Verfahrenstechnik. Heidelberg: Univ. Heidelberg, Mathematisch-Naturwissenschaftliche Ge\-samt\-fa\-kul\-tät (2000; Zbl 0972.65051)
Euler, Reiner Optimal stability domains for Adams type methods. (Optimale Stabilitätsgebiete für Adams-Typ-Methoden.) (German) Zbl 0958.65089 Gießen: Selbstverlag des Mathematischen Instituts der Univ. Gießen, Gießen: Univ. Gießen, Fachbereich Mathematik (1999), 171 S. (2000). MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{R. Euler}, Optimale Stabilitätsgebiete für Adams-Typ-Methoden. Gießen: Selbstverlag des Mathematischen Instituts der Univ. Gießen; Gießen: Univ. Gießen, Fachbereich Mathematik (1999) (2000; Zbl 0958.65089)
Coombes, Kevin R.; Hunt, Brian R.; Lipsman, Ronald L.; Osborn, John E.; Stuck, Garrett J. Differential equations with MATLAB. (English) Zbl 0942.65075 New York, NY: Wiley. vi, 256 p. (2000). Reviewer: Karin Gatermann (Berlin) MSC: 65L05 34-01 65-01 34A30 34A34 65L06 65L07 34A25 68W30 65Y15 34-04 PDFBibTeX XMLCite \textit{K. R. Coombes} et al., Differential equations with MATLAB. New York, NY: Wiley (2000; Zbl 0942.65075)
Gerstberger, Robert Neural nets from the view of numerical mathematics. (Neuronale Netze aus Sicht der Numerischen Mathematik.) (German) Zbl 0946.65058 Düsseldorf: VDI Verlag. 108 S. (1999). MSC: 65L06 65L10 65L05 34A34 70F10 68M10 65Y10 34B15 68T05 PDFBibTeX XMLCite \textit{R. Gerstberger}, Neuronale Netze aus Sicht der Numerischen Mathematik. Düsseldorf: VDI Verlag (1999; Zbl 0946.65058)
Hansbo, Anita Some results related to smoothing in discretized linear parabolic equations. (English) Zbl 0941.65102 Göteborg: Göteborgs Univ., not consec. pag. (1999). MSC: 65M60 65M06 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{A. Hansbo}, Some results related to smoothing in discretized linear parabolic equations. Göteborg: Göteborgs Univ., (1999; Zbl 0941.65102)
von Schwerin, Reinhold Multibody system simulation. Numerical methods, algorithms, and software. (English) Zbl 0945.65092 Lecture Notes in Computational Science and Engineering. 7. Berlin: Springer. xx, 338 p. (1999). Reviewer: Lubomír Bakule (Praha) MSC: 65L80 34A09 65L06 65-02 70F10 68W30 65Y15 PDFBibTeX XMLCite \textit{R. von Schwerin}, Multibody system simulation. Numerical methods, algorithms, and software. Berlin: Springer (1999; Zbl 0945.65092)
Pytlak, Radosław Numerical methods for optimal control problems with state constraints. (English) Zbl 0928.49002 Lecture Notes in Mathematics. 1707. Berlin: Springer. xii, 215 p. (1999). Reviewer: H.Benker (Merseburg) MSC: 49-02 65-02 49M99 49J15 90C30 65L06 PDFBibTeX XMLCite \textit{R. Pytlak}, Numerical methods for optimal control problems with state constraints. Berlin: Springer (1999; Zbl 0928.49002) Full Text: DOI
Hoschek, Markus One-step methods for the numerical simulation of electrical circuits. (Einschrittverfahren zur numerischen Simulation elektrischer Schaltungen.) (German) Zbl 0929.65041 Fortschritt-Berichte VDI. Reihe 20, Elektrotechnik. 293. Düsseldorf: VDI Verlag. vi, 90 S. (1999). Reviewer: Lubomír Bakule (Praha) MSC: 65L06 65L05 65L20 94C05 65L80 34A09 34A34 PDFBibTeX XMLCite \textit{M. Hoschek}, Einschrittverfahren zur numerischen Simulation elektrischer Schaltungen. Düsseldorf: VDI Verlag (1999; Zbl 0929.65041)
Kim, A. V.; Pimenov, V. G. Numerical methods for delay differential equations. Application of \(i\)-smooth calculus. (English) Zbl 0914.65083 Lecture Notes Series, Seoul. 44. Seoul: Seoul National University, 96 p. (1999). Reviewer: P.Chocholatý (Bratislava) MSC: 65L06 65L50 65L05 34K05 PDFBibTeX XMLCite \textit{A. V. Kim} and \textit{V. G. Pimenov}, Numerical methods for delay differential equations. Application of \(i\)-smooth calculus. Seoul: Seoul National University (1999; Zbl 0914.65083)
Eich-Soellner, Edda; Führer, Claus Numerical methods in multibody dynamics. (English) Zbl 0899.70001 European Consortium for Mathematics in Industry. Stuttgart: B. G. Teubner (ISBN 3-519-02601-5/pbk). 290 p. (1998). Reviewer: M.Husty (Leoben) MSC: 70-01 70-08 70E15 65-01 PDFBibTeX XMLCite \textit{E. Eich-Soellner} and \textit{C. Führer}, Numerical methods in multibody dynamics. Stuttgart: B. G. Teubner (1998; Zbl 0899.70001)
Nkamnang, Alain Roger Discretization of multiple Abelian integral equations and ordinary differential equations of fractional order. (Diskretisierung von mehrgliedrigen Abelschen Integralgleichungen und gewöhnlichen Differentialgleichungen gebrochener Ordnung.) (German) Zbl 0944.65143 Berlin: FU Berlin, 164 S. (1998). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{A. R. Nkamnang}, Diskretisierung von mehrgliedrigen Abelschen Integralgleichungen und gewöhnlichen Differentialgleichungen gebrochener Ordnung. Berlin: FU Berlin (1998; Zbl 0944.65143) Full Text: Link
Stuart, A. M.; Humphries, A. R. Dynamical systems and numerical analysis. (English) Zbl 0913.65068 Cambridge Monographs on Applied and Computational Mathematics. 2. Cambridge: Cambridge University Press. xxi, 685 p. (1998). MSC: 65L05 65-02 37J99 65L06 65L20 PDFBibTeX XMLCite \textit{A. M. Stuart} and \textit{A. R. Humphries}, Dynamical systems and numerical analysis. Cambridge: Cambridge University Press (1998; Zbl 0913.65068)
Kornmaier, Dirk Order-dynamic dense-output Runge-Kutta-Fehlberg methods. (Ordnungsdynamische Dense-Output-Runge-Kutta-Fehlberg-Verfahren.) (German) Zbl 0912.65065 Dortmund: Univ. Dortmund, FB Mathematik, 197 S. (1998). MSC: 65L06 65L50 65L70 65L05 34A34 34E13 PDFBibTeX XMLCite \textit{D. Kornmaier}, Ordnungsdynamische Dense-Output-Runge-Kutta-Fehlberg-Verfahren. Dortmund: Univ. Dortmund, FB Mathematik (1998; Zbl 0912.65065)
Quarteroni, A.; Sacco, R.; Saleri, F. Numerical mathematics. (Matematica numerica.) (Italian) Zbl 0913.65002 Milano: Springer. xiv, 488 p. (1998). Reviewer: R.Gorenflo (Berlin) MSC: 65-01 65-00 65Fxx 65Hxx 65K05 65Dxx 65Lxx 65Gxx 65Txx 00A06 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Matematica numerica (Italian). Milano: Springer (1998; Zbl 0913.65002)
Ascher, Uri M.; Petzold, Linda R. Computer methods for ordinary differential equations and differential-algebraic equations. (English) Zbl 0908.65055 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xvii, 314 p. (1998). Reviewer: C.Bendtsen (Lyngby) MSC: 65Lxx 34A34 34B15 34A09 65-01 34A50 PDFBibTeX XMLCite \textit{U. M. Ascher} and \textit{L. R. Petzold}, Computer methods for ordinary differential equations and differential-algebraic equations. Philadelphia, PA: SIAM (1998; Zbl 0908.65055)
Brugnano, Luigi; Trigiante, Donato Solving differential equations by multistep. Initial and boundary value methods. (English) Zbl 0934.65074 Stability and Control: Theory, Methods and Applications. 6. London: Gordon and Breach. 448 p. (1998). Reviewer: R.D.Grigorieff (Berlin) MSC: 65L06 65-02 65L10 65L20 65L05 34A34 34B15 65P10 37M15 65M20 65Y05 65L80 65L50 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{D. Trigiante}, Solving differential equations by multistep. Initial and boundary value methods. London: Gordon and Breach (1998; Zbl 0934.65074)
Wallat, Olaf Partitioning and simulation of electric networks with a parallel multistep Newton method. (Partitionierung und Simulation elektrischer Netzwerke mit einem parallelen mehrstufigen Newton-Verfahren.) (German) Zbl 0900.65215 Hamburg: Univ. Hamburg, 121 S. (1998). MSC: 65L05 34A34 65Y05 78A55 65L06 65H10 94C05 PDFBibTeX XMLCite \textit{O. Wallat}, Partitionierung und Simulation elektrischer Netzwerke mit einem parallelen mehrstufigen Newton-Verfahren. Hamburg: Univ. Hamburg (1998; Zbl 0900.65215)
Allen, Myron B. III; Isaacson, Eli L. Numerical analysis for applied science. (English) Zbl 0899.65001 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Chichester: John Wiley & Sons. xi, 492 p. (1998). Reviewer: K.T.S.R.Iyengar (Bangalore) MSC: 65-01 65L06 65M06 65N30 65Dxx 65Hxx 65N06 65M60 00A06 65Fxx PDFBibTeX XMLCite \textit{M. B. Allen III} and \textit{E. L. Isaacson}, Numerical analysis for applied science. Chichester: John Wiley \& Sons (1998; Zbl 0899.65001)