Edit Profile (opens in new tab) Sonar, Thomas Co-Author Distance Author ID: sonar.thomas Published as: Sonar, Thomas; Sonar, Th.; Sonar, T. more...less Further Spellings: Sonar, Thomas Helmut Homepage: http://www.mathematik.tu-bs.de/FA-Workgroup/tsonar/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 119 Publications since 1989, including 26 Books and 3 Additional arXiv Preprints 7 Contributions as Editor · 1 Further Contribution Reviewing Activity: 745 Reviews Co-Authors: 65 Co-Authors with 79 Joint Publications 1,644 Co-Co-Authors all top 5 Co-Authors 43 single-authored 19 Meister, Andreas 10 Öffner, Philipp 8 Ansorge, Rainer 8 Ranocha, Hendrik 6 Glaubitz, Jan 6 Grahs, Thorsten 5 Friedrich, Oliver 5 Hannemann, Volker 5 Oberle, Hans Joachim 5 Ortleb, Sigrun 5 Rothe, Kai 4 Abgrall, Rémi 4 Hempel, Daniel 4 Süli, Endre E. 3 Breuß, Michael 3 Bürgel, Andrea 3 Rademacher, Daniel 3 Wirz, Martina 2 Biegel, Gerd 2 Bijl, Hester 2 Brokate, Martin 2 Brox, Thomas 2 Freeden, Willi 2 Henze, Norbert 2 Hettlich, Frank 2 Hietel, Dietmar 2 Iske, Armin 2 Jahnke, Thomas 2 Klein, Hans Peter 2 Knobloch, Eberhard 2 Kühnel, Wolfgang 2 Munz, Claus-Dieter 2 Reich, Karin 2 Scheel, Katrin 2 Schranz-Kirlinger, Gabriela 2 Spindler, Markus 2 Thomas, Ingo 2 Weickert, Joachim 1 Ahrend, Arne 1 Bandelt, Hans-Jürgen 1 Billet, Germain 1 Botta, Nicola 1 Dedekind, Richard 1 Demirdžić, Ismet 1 Folkerts, Menso 1 Harborth, Heiko 1 Heßling, M. 1 Heuer, Maria 1 Hundsdorfer, Willem H. 1 Junk, Michael 1 Klein, Angela 1 Klein, Rupert 1 Klein, Simon-Christian 1 Lanteri, Stéphane 1 Löwe, Harald 1 Löwen, Rainer 1 Morton, Keith William 1 Muzaferija, Samir 1 Nashed, M. Zuhair 1 Netuzhylov, Hennadiy 1 Pawlak, Martina 1 Perić, Milovan 1 Remus, Dieter 1 Roller, Sabine 1 Russo, Giovanni 1 Schröder-Pander, Friederike 1 Schweighofer, Markus 1 Struckmeier, Jens 1 Ullrich, Peter 1 Walcher, Sebastian 1 Warnecke, Gerald G. 1 Weber, Heinrich 1 Yomsatieankul, Warisa 1 Zangmeister, T. all top 5 Serials 11 Mitteilungen der Mathematischen Gesellschaft in Hamburg 6 Numerische Mathematik 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Computational Physics 4 Mathematische Semesterberichte 4 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 4 DLR Forschungsbericht 3 Numerical Algorithms 3 Vom Zählstein zum Computer 2 International Journal for Numerical Methods in Fluids 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 The Mathematical Intelligencer 2 Applied Numerical Mathematics 2 Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 BSHM Bulletin 2 GEM - International Journal on Geomathematics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Mitteilungen - Gauß-Gesellschaft Göttingen 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 IMPACT of Computing in Science and Engineering 1 Surveys on Mathematics for Industry 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Acta Numerica 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Schriften zur Geschichte der Mathematik und ihrer Didaktik 1 Abhandlungen der Akademie der Wissenschaften in Hamburg 1 Notes on Numerical Fluid Mechanics and Multidisciplinary Design 1 DFVLR Forschungsbericht all top 5 Fields 59 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 34 History and biography (01-XX) 22 General and overarching topics; collections (00-XX) 12 Real functions (26-XX) 10 Mathematics education (97-XX) 5 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 501 times in 372 Documents Cited by ▼ Year ▼ Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071 Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 76 2001 Summation-by-parts operators for correction procedure via reconstruction. Zbl 1349.65524 Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas 67 2016 On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection. Zbl 0898.76086 Sonar, Thomas 44 1997 Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators. Zbl 1404.65201 Ranocha, Hendrik; Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas 24 2018 On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions. Zbl 0859.65110 Iske, Armin; Sonar, Thomas 24 1996 Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. Zbl 1380.65318 Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas 23 2017 Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws. Zbl 0860.65096 Sonar, Thomas 18 1996 Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086 Morton, K. W.; Sonar, T. 15 2007 Application of modal filtering to a spectral difference method. Zbl 1376.65133 Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas 15 2018 Application of spectral filtering to discontinuous Galerkin methods on triangulations. Zbl 1251.65141 Meister, A.; Ortleb, S.; Sonar, Th. 15 2012 A dual graph-norm refinement indicator for finite volume approximations of the Euler equations. Zbl 0902.76083 Sonar, Thomas; Süli, Endre 12 1998 On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062 Abgrall, Rémi; Sonar, Thomas 12 1997 Difference operators from interpolating moving least squares and their deviation from optimality. Zbl 1085.39018 Sonar, Thomas 10 2005 On families of pointwise optimal finite volume ENO approximations. Zbl 0921.65069 Sonar, Thomas 10 1998 Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators. Zbl 1412.65117 Glaubitz, Jan; Öffner, Philipp; Ranocha, Hendrik; Sonar, Thomas 10 2018 Handbook of geomathematics. 2 Volumes. Zbl 1201.86001 7 2010 On the design of an upwind scheme for compressible flow on general triangulations. Zbl 0765.76066 Sonar, Th. 7 1993 Finite volume schemes for compressible fluid flow. Zbl 0916.76058 Meister, Andreas; Sonar, Thomas 6 1998 Dynamic adaptivity and residual control in unsteady compressible flow computation. Zbl 0816.76073 Sonar, T.; Hannemann, V.; Hempel, D. 6 1994 A new meshless collocation method for partial differential equations. Zbl 1155.65080 Kamruzzaman, M.; Sonar, Th.; Lutz, Th.; Krämer, E. 6 2008 Adaptive spectral filtering and digital total variation postprocessing for the DG method on triangular grids: application to the Euler equations. Zbl 1217.65194 Ortleb, S.; Meister, A.; Sonar, Th. 5 2011 On meshless collocation approximations of conservation laws: Preliminary investigations on positive schemes and dissipation models. Zbl 0985.65123 Fürst, J.; Sonar, Th. 5 2001 Entropy production in second-order three-point schemes. Zbl 0761.65070 Sonar, T. 5 1992 The correspondence Richard Dedekind – Heinrich Weber. Edited by Thomas Sonar, in cooperation with Karin Reich. (Der Briefwechsel Richard Dedekind – Heinrich Weber. Herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich.) Zbl 1307.01002 Scheel, Katrin 5 2014 An extended discontinuous Galerkin and spectral difference method with modal filtering. Zbl 1275.65062 Meister, Andreas; Ortleb, Sigrun; Sonar, Thomas; Wirz, Martina 5 2013 Finite difference operators from moving least squares interpolation. Zbl 1153.65356 Netuzhylov, Hennadiy; Sonar, Thomas; Yomsatieankul, Warisa 4 2007 Generalized multiresolution analysis on unstructured grids. Zbl 0987.65083 Schröder-Pander, Friederike; Sonar, Thomas; Friedrich, Oliver 4 2000 Image processing for numerical approximations of conservation laws: Nonlinear anisotropic artificial dissipation. Zbl 1006.65090 Grahs, Thorsten; Meister, Andreas; Sonar, Thomas 4 2002 Strong and weak norm refinement indicators based on the finite element residual for compressible flow computation. I: The steady case. Zbl 0773.76043 Sonar, Thomas 4 1993 ENO approximations for compressible fluid dynamics. Zbl 0917.76060 Abgrall, R.; Lantéri, S.; Sonar, Thomas 3 1999 Discrete filtering of numerical solutions to hyperbolic conservation laws. Zbl 1010.76057 Bürgel, A.; Sonar, T. 3 2002 Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs. Zbl 1119.68459 Breuß, Michael; Brox, Thomas; Sonar, Thomas; Weickert, Joachim 3 2005 Numerical aspects of TV flow. Zbl 1116.65099 Breuß, Michael; Bürgel, Andrea; Brox, Thomas; Sonar, Thomas; Weickert, Joachim 3 2006 On the comparison of four different implementations of a third-order ENO scheme of box type for the computation of compressible flow. Zbl 0865.76052 Hietel, Dietmar; Meister, Andreas; Sonar, Thomas 3 1996 From continuous recovery to discrete filtering in numerical approximations of conservation laws. Zbl 0998.65094 Bürgel, A.; Grahs, T.; Sonar, Th. 3 2002 Spectral convergence for orthogonal polynomials on triangles. Zbl 1273.65154 Öffner, Philipp; Sonar, Thomas 3 2013 A comparison of the discontinuous-Galerkin- and spectral-difference-method on triangulations using PKD polynomials. Zbl 1257.65054 Meister, Andreas; Ortleb, Sigrun; Sonar, Thomas; Wirz, Martina 3 2012 Grid generation using elliptic partial differential equations. Zbl 0669.76065 Sonar, Th. 2 1989 Mathematical models of fluid dynamics. Modelling theory, basic numerical facts – an introduction. 2nd updated edition. Zbl 1352.76001 Ansorge, Rainer; Sonar, Thomas 2 2009 Adaptive finite volume methods for hyperbolic problems. Zbl 0830.76072 Mackenzie, J. A.; Sonar, Thomas; Süli, Endre 2 1994 The history of the priority dispute between Newton and Leibniz. Mathematics in history and culture. With an epilogue by Eberhard Knobloch. Translated from the German by the author. Zbl 1400.01003 Sonar, Thomas 2 2018 On a second order residual estimator for numerical schemes for nonlinear hyperbolic conservation laws. Zbl 0985.65109 Thomas, Ingo; Sonar, Thomas 2 2001 On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161 Sonar, Thomas; Warnecke, Gerald 2 1998 The devotional table maker. The early works of Henry Briggs. (Der fromme Tafelmacher. Die frühen Arbeiten des Henry Briggs.) Zbl 1056.01005 Sonar, Thomas 2 2002 3000 years of analysis. History, cultures, people. (3000 Jahre Analysis. Geschichte, Kulturen, Menschen.) Zbl 1225.01002 Sonar, Thomas 2 2011 High order approximations for compressible fluid dynamics on unstructured and Cartesian meshes. Zbl 0937.76039 Abgrall, Rémi; Sonar, Thomas; Friedrich, Oliver; Billet, Germain 1 1999 Mathematics through modeling: teacher education and teacher training using a portable computer algebra system. (Mathematik durch Modellierung: Lehrerausbildung und Lehrerfortbildung mit einem portablen Computeralgebrasystem.) Zbl 1197.00037 Sonar, Thomas 1 2004 Summation-by-parts and correction procedure via reconstruction. Zbl 1382.65287 Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas 1 2017 Richard Dedekind (1831–1916). Zbl 1382.01007 Sonar, Thomas 1 2017 Applied mathematics, modelling and computer science. An introduction for students of teachership, teachers and pupils. With exercises in the Internet by Thorsten Grahs. (Angewandte Mathematik, Modellbildung und Informatik. Eine Einführung für Lehramtsstudenten, Lehrer und Schüler. Mit Java-Übungen im Internet von Thorsten Grahs.) Zbl 0986.00005 Sonar, Thomas 1 2001 Data analysis and entropy steered discrete filtering for the numerical treatment of conservation laws. Zbl 1035.76035 Grahs, Thorsten; Sonar, Thomas 1 2002 William Gilbert’s dip instrument. I: History and theory of magnetic declination. (William Gilberts Neigungsinstrument. I: Geschichte und Theorie der magnetischen Neigung.) Zbl 1043.01015 Sonar, Thomas 1 2002 Nonlinear dissipation models and entropy production in finite difference procedures. (Nichtlineare Dissipationsmodelle und Entropie-Produktion in finiten Differenzenverfahren.) Zbl 0744.76090 Sonar, Thomas 1 1991 Loss of information, abstract entropy and the mathematical description of the second fundamental law of thermodynamics. (Informationsverlust, abstrakte Entropie und die mathematische Beschreibung des zweiten Hauptsatzes der Thermodynamik.) Zbl 0885.94013 Ansorge, Rainer; Sonar, Thomas 1 1997 Multidimensional ENO methods. Construction of nonoscillatory methods for hyperbolic conservation laws. (Mehrdimensionale ENO-Verfahren. Zur Konstruktion nichtoszillatorischer Methoden für hyberbolische Erhaltungsgleichungen.) Zbl 0903.65072 Sonar, Thomas 1 1997 Brunswick’s second mathematical star: Richard Dedekind (1831–1916). Zbl 1246.01045 Sonar, Thomas 1 2012 3000 years of analysis. History, cultures, people. 2nd corrected edition. (3000 Jahre Analysis. Geschichte, Kulturen, Menschen.) Zbl 1352.01004 Sonar, Thomas 1 2016 The history of the priority dispute between Leibniz and Newton. History – cultures – people. With an epilogue by Eberhard Knobloch. (Die Geschichte des Prioritätsstreits zwischen Leibniz und Newton. Geschichte – Kulturen – Menschen. Mit einem Nachwort von Eberhard Knobloch.) Zbl 1343.01005 Sonar, Thomas 1 2016 A spectral difference method with Dubiner polynomials on triangulations. Zbl 1303.65070 Pawlak, Martina; Sonar, Thomas 1 2012 On the new school mathematics in the final examinations – the educational standards of the conference of the ministers of education 2012. (Zur neuen Schulmathematik im Abitur – die Bildungsstandards der KMK von 2012.) Zbl 1319.97004 Kühnel, Wolfgang; Bandelt, Hans-Jürgen; Jahnke, Thomas; Klein, Hans-Peter; Remus, Dieter; Schweighofer, Markus; Sonar, Thomas; Spindler, Markus; Walcher, Sebastian 1 2015 Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Zbl 1012.65086 1 2002 3000 years of analysis. Mathematics in history and culture. Translated from the German by the author, Morton Patricia and Keith William Norton. Zbl 1471.01004 Sonar, Thomas 1 2021 Navigation on sea: topics in the history of geomathematics. Zbl 1197.86040 Sonar, Thomas 1 2010 New adaptive modal and DTV filtering routines for the DG method on triangular grids applied to the Euler equations. Zbl 1253.65151 Meister, A.; Ortleb, S.; Sonar, Thomas 1 2012 3000 years of analysis. Mathematics in history and culture. Translated from the German by the author, Morton Patricia and Keith William Norton. Zbl 1471.01004 Sonar, Thomas 1 2021 Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators. Zbl 1404.65201 Ranocha, Hendrik; Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas 24 2018 Application of modal filtering to a spectral difference method. Zbl 1376.65133 Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas 15 2018 Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators. Zbl 1412.65117 Glaubitz, Jan; Öffner, Philipp; Ranocha, Hendrik; Sonar, Thomas 10 2018 The history of the priority dispute between Newton and Leibniz. Mathematics in history and culture. With an epilogue by Eberhard Knobloch. Translated from the German by the author. Zbl 1400.01003 Sonar, Thomas 2 2018 Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. Zbl 1380.65318 Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas 23 2017 Summation-by-parts and correction procedure via reconstruction. Zbl 1382.65287 Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas 1 2017 Richard Dedekind (1831–1916). Zbl 1382.01007 Sonar, Thomas 1 2017 Summation-by-parts operators for correction procedure via reconstruction. Zbl 1349.65524 Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas 67 2016 3000 years of analysis. History, cultures, people. 2nd corrected edition. (3000 Jahre Analysis. Geschichte, Kulturen, Menschen.) Zbl 1352.01004 Sonar, Thomas 1 2016 The history of the priority dispute between Leibniz and Newton. History – cultures – people. With an epilogue by Eberhard Knobloch. (Die Geschichte des Prioritätsstreits zwischen Leibniz und Newton. Geschichte – Kulturen – Menschen. Mit einem Nachwort von Eberhard Knobloch.) Zbl 1343.01005 Sonar, Thomas 1 2016 On the new school mathematics in the final examinations – the educational standards of the conference of the ministers of education 2012. (Zur neuen Schulmathematik im Abitur – die Bildungsstandards der KMK von 2012.) Zbl 1319.97004 Kühnel, Wolfgang; Bandelt, Hans-Jürgen; Jahnke, Thomas; Klein, Hans-Peter; Remus, Dieter; Schweighofer, Markus; Sonar, Thomas; Spindler, Markus; Walcher, Sebastian 1 2015 The correspondence Richard Dedekind – Heinrich Weber. Edited by Thomas Sonar, in cooperation with Karin Reich. (Der Briefwechsel Richard Dedekind – Heinrich Weber. Herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich.) Zbl 1307.01002 Scheel, Katrin 5 2014 An extended discontinuous Galerkin and spectral difference method with modal filtering. Zbl 1275.65062 Meister, Andreas; Ortleb, Sigrun; Sonar, Thomas; Wirz, Martina 5 2013 Spectral convergence for orthogonal polynomials on triangles. Zbl 1273.65154 Öffner, Philipp; Sonar, Thomas 3 2013 Application of spectral filtering to discontinuous Galerkin methods on triangulations. Zbl 1251.65141 Meister, A.; Ortleb, S.; Sonar, Th. 15 2012 A comparison of the discontinuous-Galerkin- and spectral-difference-method on triangulations using PKD polynomials. Zbl 1257.65054 Meister, Andreas; Ortleb, Sigrun; Sonar, Thomas; Wirz, Martina 3 2012 Brunswick’s second mathematical star: Richard Dedekind (1831–1916). Zbl 1246.01045 Sonar, Thomas 1 2012 A spectral difference method with Dubiner polynomials on triangulations. Zbl 1303.65070 Pawlak, Martina; Sonar, Thomas 1 2012 New adaptive modal and DTV filtering routines for the DG method on triangular grids applied to the Euler equations. Zbl 1253.65151 Meister, A.; Ortleb, S.; Sonar, Thomas 1 2012 Adaptive spectral filtering and digital total variation postprocessing for the DG method on triangular grids: application to the Euler equations. Zbl 1217.65194 Ortleb, S.; Meister, A.; Sonar, Th. 5 2011 3000 years of analysis. History, cultures, people. (3000 Jahre Analysis. Geschichte, Kulturen, Menschen.) Zbl 1225.01002 Sonar, Thomas 2 2011 Handbook of geomathematics. 2 Volumes. Zbl 1201.86001 7 2010 Navigation on sea: topics in the history of geomathematics. Zbl 1197.86040 Sonar, Thomas 1 2010 Mathematical models of fluid dynamics. Modelling theory, basic numerical facts – an introduction. 2nd updated edition. Zbl 1352.76001 Ansorge, Rainer; Sonar, Thomas 2 2009 A new meshless collocation method for partial differential equations. Zbl 1155.65080 Kamruzzaman, M.; Sonar, Th.; Lutz, Th.; Krämer, E. 6 2008 Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086 Morton, K. W.; Sonar, T. 15 2007 Finite difference operators from moving least squares interpolation. Zbl 1153.65356 Netuzhylov, Hennadiy; Sonar, Thomas; Yomsatieankul, Warisa 4 2007 Numerical aspects of TV flow. Zbl 1116.65099 Breuß, Michael; Bürgel, Andrea; Brox, Thomas; Sonar, Thomas; Weickert, Joachim 3 2006 Difference operators from interpolating moving least squares and their deviation from optimality. Zbl 1085.39018 Sonar, Thomas 10 2005 Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs. Zbl 1119.68459 Breuß, Michael; Brox, Thomas; Sonar, Thomas; Weickert, Joachim 3 2005 Mathematics through modeling: teacher education and teacher training using a portable computer algebra system. (Mathematik durch Modellierung: Lehrerausbildung und Lehrerfortbildung mit einem portablen Computeralgebrasystem.) Zbl 1197.00037 Sonar, Thomas 1 2004 Image processing for numerical approximations of conservation laws: Nonlinear anisotropic artificial dissipation. Zbl 1006.65090 Grahs, Thorsten; Meister, Andreas; Sonar, Thomas 4 2002 Discrete filtering of numerical solutions to hyperbolic conservation laws. Zbl 1010.76057 Bürgel, A.; Sonar, T. 3 2002 From continuous recovery to discrete filtering in numerical approximations of conservation laws. Zbl 0998.65094 Bürgel, A.; Grahs, T.; Sonar, Th. 3 2002 The devotional table maker. The early works of Henry Briggs. (Der fromme Tafelmacher. Die frühen Arbeiten des Henry Briggs.) Zbl 1056.01005 Sonar, Thomas 2 2002 Data analysis and entropy steered discrete filtering for the numerical treatment of conservation laws. Zbl 1035.76035 Grahs, Thorsten; Sonar, Thomas 1 2002 William Gilbert’s dip instrument. I: History and theory of magnetic declination. (William Gilberts Neigungsinstrument. I: Geschichte und Theorie der magnetischen Neigung.) Zbl 1043.01015 Sonar, Thomas 1 2002 Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Zbl 1012.65086 1 2002 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071 Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 76 2001 On meshless collocation approximations of conservation laws: Preliminary investigations on positive schemes and dissipation models. Zbl 0985.65123 Fürst, J.; Sonar, Th. 5 2001 On a second order residual estimator for numerical schemes for nonlinear hyperbolic conservation laws. Zbl 0985.65109 Thomas, Ingo; Sonar, Thomas 2 2001 Applied mathematics, modelling and computer science. An introduction for students of teachership, teachers and pupils. With exercises in the Internet by Thorsten Grahs. (Angewandte Mathematik, Modellbildung und Informatik. Eine Einführung für Lehramtsstudenten, Lehrer und Schüler. Mit Java-Übungen im Internet von Thorsten Grahs.) Zbl 0986.00005 Sonar, Thomas 1 2001 Generalized multiresolution analysis on unstructured grids. Zbl 0987.65083 Schröder-Pander, Friederike; Sonar, Thomas; Friedrich, Oliver 4 2000 ENO approximations for compressible fluid dynamics. Zbl 0917.76060 Abgrall, R.; Lantéri, S.; Sonar, Thomas 3 1999 High order approximations for compressible fluid dynamics on unstructured and Cartesian meshes. Zbl 0937.76039 Abgrall, Rémi; Sonar, Thomas; Friedrich, Oliver; Billet, Germain 1 1999 A dual graph-norm refinement indicator for finite volume approximations of the Euler equations. Zbl 0902.76083 Sonar, Thomas; Süli, Endre 12 1998 On families of pointwise optimal finite volume ENO approximations. Zbl 0921.65069 Sonar, Thomas 10 1998 Finite volume schemes for compressible fluid flow. Zbl 0916.76058 Meister, Andreas; Sonar, Thomas 6 1998 On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161 Sonar, Thomas; Warnecke, Gerald 2 1998 On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection. Zbl 0898.76086 Sonar, Thomas 44 1997 On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062 Abgrall, Rémi; Sonar, Thomas 12 1997 Loss of information, abstract entropy and the mathematical description of the second fundamental law of thermodynamics. (Informationsverlust, abstrakte Entropie und die mathematische Beschreibung des zweiten Hauptsatzes der Thermodynamik.) Zbl 0885.94013 Ansorge, Rainer; Sonar, Thomas 1 1997 Multidimensional ENO methods. Construction of nonoscillatory methods for hyperbolic conservation laws. (Mehrdimensionale ENO-Verfahren. Zur Konstruktion nichtoszillatorischer Methoden für hyberbolische Erhaltungsgleichungen.) Zbl 0903.65072 Sonar, Thomas 1 1997 On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions. Zbl 0859.65110 Iske, Armin; Sonar, Thomas 24 1996 Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws. Zbl 0860.65096 Sonar, Thomas 18 1996 On the comparison of four different implementations of a third-order ENO scheme of box type for the computation of compressible flow. Zbl 0865.76052 Hietel, Dietmar; Meister, Andreas; Sonar, Thomas 3 1996 Dynamic adaptivity and residual control in unsteady compressible flow computation. Zbl 0816.76073 Sonar, T.; Hannemann, V.; Hempel, D. 6 1994 Adaptive finite volume methods for hyperbolic problems. Zbl 0830.76072 Mackenzie, J. A.; Sonar, Thomas; Süli, Endre 2 1994 On the design of an upwind scheme for compressible flow on general triangulations. Zbl 0765.76066 Sonar, Th. 7 1993 Strong and weak norm refinement indicators based on the finite element residual for compressible flow computation. I: The steady case. Zbl 0773.76043 Sonar, Thomas 4 1993 Entropy production in second-order three-point schemes. Zbl 0761.65070 Sonar, T. 5 1992 Nonlinear dissipation models and entropy production in finite difference procedures. (Nichtlineare Dissipationsmodelle und Entropie-Produktion in finiten Differenzenverfahren.) Zbl 0744.76090 Sonar, Thomas 1 1991 Grid generation using elliptic partial differential equations. Zbl 0669.76065 Sonar, Th. 2 1989 all cited Publications top 5 cited Publications all top 5 Cited by 552 Authors 23 Nordström, Jan 22 Öffner, Philipp 21 Dumbser, Michael 21 Ranocha, Hendrik 21 Sonar, Thomas 17 Feireisl, Eduard 13 Glaubitz, Jan 12 Meister, Andreas 8 Abgrall, Rémi 8 Zhu, Jun 6 Boscheri, Walter 6 Breuß, Michael 6 Klein, Rupert 6 Lukáčová-Medviďová, Mária 6 Munz, Claus-Dieter 6 Qiu, Jianxian 5 Busto, Saray 5 Ketcheson, David I. 5 Klein, Simon-Christian 5 Netuzhylov, Hennadiy 5 Novotný, Antonín 5 Tavelli, Maurizio 4 Birken, Philipp 4 Croisille, Jean-Pierre 4 Del Rey Fernández, David C. 4 Giacomini, Matteo 4 Huerta, Antonio 4 Linders, Viktor 4 O’Reilly, Ossian 4 Ortleb, Sigrun 4 Sevilla, Ruben 4 Torlo, Davide 4 Zingg, David W. 3 Bonaventura, Luca 3 Bürgel, Andrea 3 Carpenter, Mark H. 3 Chan, Jesse 3 Chen, Jiun-Shyan 3 Cicchino, Alexander 3 Colominas, Ignasi 3 Courbet, Bernard 3 Cueto-Felgueroso, Luis 3 Dalcín, Lisandro D. 3 Deng, Xiaogang 3 Dong, Yidao 3 Filimon, Alexander 3 Frankel, Steven H. 3 Haider, Florian 3 Hesthaven, Jan S. 3 Käser, Martin 3 Kivva, Sergii 3 Klingenberg, Christian F. 3 Kwon, Young-Sam 3 Laurén, Fredrik 3 le Mélédo, Elise 3 Li, Wanai 3 Lundquist, Tomas 3 Luo, Hong 3 Müller, Siegfried 3 Nadarajah, Siva K. 3 Osher, Stanley Joel 3 Parsani, Matteo 3 Petzeltová, Hana 3 Ren, Yuxin 3 Shu, Chi-Wang 3 Trivisa, Konstantina 3 Trojak, Will 3 Wang, Zhijian 3 Weickert, Joachim 3 Welk, Martin 3 Yang, Hyoseon 2 Ålund, Oskar 2 Arun, K. R. 2 Baum, Joseph D. 2 Bella, Peter 2 Breit, Dominic 2 Cao, Yanzhao 2 Cecil, Thomas C. 2 Chiocchetti, Simone 2 Cohen, Albert 2 Delis, Argiris I. 2 Deng, Xi 2 Dzanic, Tarik 2 Fambri, Francesco 2 Fischer, Bernd 2 Freeden, Willi 2 Gao, Zhiming 2 Gassner, Gregor J. 2 Gelb, Anne 2 Graziani, Carlo 2 Han Veiga, Maria 2 Hempel, Daniel 2 Hesse, Kerstin 2 Hofmanová, Martina 2 Hu, Hsin-Yun 2 Hu, Wei 2 Ioriatti, Matteo 2 Iske, Armin 2 Ju, Qiangchang 2 Klar, Axel ...and 452 more Authors all top 5 Cited in 88 Serials 88 Journal of Computational Physics 41 Journal of Scientific Computing 23 Computers and Fluids 10 Computer Methods in Applied Mechanics and Engineering 9 Applied Mathematics and Computation 9 Applied Numerical Mathematics 8 Computers & Mathematics with Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Journal of Computational and Applied Mathematics 6 International Journal for Numerical Methods in Fluids 6 Mathematische Semesterberichte 6 SIAM Journal on Scientific Computing 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 GEM - International Journal on Geomathematics 5 Numerische Mathematik 4 BIT 4 SIAM Journal on Numerical Analysis 4 Numerical Algorithms 4 Archives of Computational Methods in Engineering 4 Communications in Computational Physics 3 Communications in Mathematical Physics 3 Mathematics of Computation 3 International Journal for Numerical Methods in Engineering 3 Computing and Visualization in Science 3 Central European Journal of Mathematics 3 Communications in Applied Mathematics and Computational Science 3 Communications on Applied Mathematics and Computation 2 Archive for Rational Mechanics and Analysis 2 Computer Physics Communications 2 Journal of Fluid Mechanics 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Applied Mathematics Letters 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Journal of Mathematical Imaging and Vision 2 Communications in Numerical Methods in Engineering 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Real World Applications 2 International Journal of Computational Methods 2 Science China. Mathematics 2 Computational Methods for Differential Equations 2 SMAI Journal of Computational Mathematics 1 Archive for History of Exact Sciences 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics 1 Mathematics Magazine 1 Acta Mathematica Vietnamica 1 Physica D 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Computational Mathematics and Mathematical Physics 1 Historia Mathematica 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Revista Matemática Complutense 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Turbulence 1 Journal of Evolution Equations 1 Sādhanā 1 Journal of Numerical Mathematics 1 Milan Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Numerical Methods in Biomedical Engineering 1 Mathematical Sciences 1 Mathematics in Engineering 1 British Journal for the History of Mathematics 1 SN Partial Differential Equations and Applications 1 Journal of Computational Physics: X all top 5 Cited in 40 Fields 271 Numerical analysis (65-XX) 200 Fluid mechanics (76-XX) 171 Partial differential equations (35-XX) 12 History and biography (01-XX) 12 Geophysics (86-XX) 10 Approximations and expansions (41-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Biology and other natural sciences (92-XX) 6 Special functions (33-XX) 6 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mathematics education (97-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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