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Author ID: sonar.thomas Recent zbMATH articles by "Sonar, Thomas"
Published as: Sonar, Thomas; Sonar, Th.; Sonar, T.
Further Spellings: Sonar, Thomas Helmut
Homepage: http://www.mathematik.tu-bs.de/FA-Workgroup/tsonar/
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Serials

9 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

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 430 times in 321 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.
68
2001
Summation-by-parts operators for correction procedure via reconstruction. Zbl 1349.65524
Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas
55
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
41
1997
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. Zbl 1380.65318
Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas
21
2017
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
18
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
18
1996
Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086
Morton, K. W.; Sonar, T.
12
2007
Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws. Zbl 0860.65096
Sonar, Thomas
12
1996
Application of spectral filtering to discontinuous Galerkin methods on triangulations. Zbl 1251.65141
Meister, A.; Ortleb, S.; Sonar, Th.
11
2012
Difference operators from interpolating moving least squares and their deviation from optimality. Zbl 1085.39018
Sonar, Thomas
10
2005
Application of modal filtering to a spectral difference method. Zbl 1376.65133
Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas
10
2018
On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062
Abgrall, Rémi; Sonar, Thomas
10
1997
A dual graph-norm refinement indicator for finite volume approximations of the Euler equations. Zbl 0902.76083
Sonar, Thomas; Süli, Endre
10
1998
On families of pointwise optimal finite volume ENO approximations. Zbl 0921.65069
Sonar, Thomas
9
1998
Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators. Zbl 1412.65117
Glaubitz, Jan; Öffner, Philipp; Ranocha, Hendrik; Sonar, Thomas
9
2018
Finite volume schemes for compressible fluid flow. Zbl 0916.76058
Meister, Andreas; Sonar, Thomas
6
1998
Handbook of geomathematics. 2 Volumes. Zbl 1201.86001
6
2010
On the design of an upwind scheme for compressible flow on general triangulations. Zbl 0765.76066
Sonar, Th.
6
1993
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
On meshless collocation approximations of conservation laws: Preliminary investigations on positive schemes and dissipation models. Zbl 0985.65123
Fürst, J.; Sonar, Th.
5
2001
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
An extended discontinuous Galerkin and spectral difference method with modal filtering. Zbl 1275.65062
Meister, Andreas; Ortleb, Sigrun; Sonar, Thomas; Wirz, Martina
5
2013
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
4
2014
Generalized multiresolution analysis on unstructured grids. Zbl 0987.65083
Schröder-Pander, Friederike; Sonar, Thomas; Friedrich, Oliver
4
2000
Finite difference operators from moving least squares interpolation. Zbl 1153.65356
Netuzhylov, Hennadiy; Sonar, Thomas; Yomsatieankul, Warisa
4
2007
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
Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs. Zbl 1119.68459
Breuß, Michael; Brox, Thomas; Sonar, Thomas; Weickert, Joachim
3
2005
Entropy production in second-order three-point schemes. Zbl 0761.65070
Sonar, T.
3
1992
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
3
1993
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
Spectral convergence for orthogonal polynomials on triangles. Zbl 1273.65154
Öffner, Philipp; Sonar, Thomas
3
2013
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
ENO approximations for compressible fluid dynamics. Zbl 0917.76060
Abgrall, R.; Lantéri, S.; Sonar, Thomas
2
1999
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
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
Mathematical models of fluid dynamics. Modelling theory, basic numerical facts – an introduction. 2nd updated edition. Zbl 1352.76001
Ansorge, Rainer; Sonar, Thomas
2
2009
3000 years of analysis. History, cultures, people. (3000 Jahre Analysis. Geschichte, Kulturen, Menschen.) Zbl 1225.01002
Sonar, Thomas
2
2011
Numerical aspects of TV flow. Zbl 1116.65099
Breuß, Michael; Bürgel, Andrea; Brox, Thomas; Sonar, Thomas; Weickert, Joachim
2
2006
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
Data analysis and entropy steered discrete filtering for the numerical treatment of conservation laws. Zbl 1035.76035
Grahs, Thorsten; Sonar, Thomas
1
2002
On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161
Sonar, Thomas; Warnecke, Gerald
1
1998
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
On a second order residual estimator for numerical schemes for nonlinear hyperbolic conservation laws. Zbl 0985.65109
Thomas, Ingo; Sonar, Thomas
1
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
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
3000 years of analysis. History, cultures, people. 2nd corrected edition. (3000 Jahre Analysis. Geschichte, Kulturen, Menschen.) Zbl 1352.01004
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 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
Navigation on sea: topics in the history of geomathematics. Zbl 1197.86040
Sonar, Thomas
1
2010
Grid generation using elliptic partial differential equations. Zbl 0669.76065
Sonar, Th.
1
1989
Brunswick’s second mathematical star: Richard Dedekind (1831–1916). Zbl 1246.01045
Sonar, Thomas
1
2012
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
Summation-by-parts and correction procedure via reconstruction. Zbl 1382.65287
Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas
1
2017
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
A spectral difference method with Dubiner polynomials on triangulations. Zbl 1303.65070
Pawlak, Martina; Sonar, Thomas
1
2012
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
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
18
2018
Application of modal filtering to a spectral difference method. Zbl 1376.65133
Glaubitz, Jan; Öffner, Philipp; Sonar, Thomas
10
2018
Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators. Zbl 1412.65117
Glaubitz, Jan; Öffner, Philipp; Ranocha, Hendrik; Sonar, Thomas
9
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
21
2017
Summation-by-parts and correction procedure via reconstruction. Zbl 1382.65287
Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas
1
2017
Summation-by-parts operators for correction procedure via reconstruction. Zbl 1349.65524
Ranocha, Hendrik; Öffner, Philipp; Sonar, Thomas
55
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
4
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.
11
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
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
6
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.
12
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
2
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
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
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
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.
68
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
1
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
2
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
10
1998
On families of pointwise optimal finite volume ENO approximations. Zbl 0921.65069
Sonar, Thomas
9
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
1
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
41
1997
On the use of Mühlbach expansions in the recovery step of ENO methods. Zbl 0882.76062
Abgrall, Rémi; Sonar, Thomas
10
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
18
1996
Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws. Zbl 0860.65096
Sonar, Thomas
12
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
On the design of an upwind scheme for compressible flow on general triangulations. Zbl 0765.76066
Sonar, Th.
6
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
3
1993
Entropy production in second-order three-point schemes. Zbl 0761.65070
Sonar, T.
3
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.
1
1989
all top 5

Cited by 495 Authors

20 Ranocha, Hendrik
20 Sonar, Thomas
16 Dumbser, Michael
16 Öffner, Philipp
15 Feireisl, Eduard
15 Nordström, Jan
11 Meister, Andreas
9 Glaubitz, Jan
8 Zhu, Jun
7 Abgrall, Rémi
6 Breuß, Michael
6 Klein, Rupert
6 Lukáčová-Medvid’ová, Mária
6 Qiu, Jianxian
5 Boscheri, Walter
5 Ketcheson, David I.
5 Munz, Claus-Dieter
5 Netuzhylov, Hennadiy
5 Novotný, Antonín
5 Tavelli, Maurizio
4 Birken, Philipp
4 O’Reilly, Ossian
4 Zingg, David W.
3 Bonaventura, Luca
3 Bürgel, Andrea
3 Busto, Saray
3 Carpenter, Mark H.
3 Chan, Jesse
3 Cicchino, Alexander
3 Colominas, Ignasi
3 Cueto-Felgueroso, Luis
3 Del Rey Fernández, David C.
3 Deng, Xiaogang
3 Dong, Yidao
3 Giacomini, Matteo
3 Huerta, Antonio
3 Käser, Martin
3 Kwon, Young-Sam
3 le Mélédo, Elise
3 Li, Wanai
3 Lundquist, Tomas
3 Luo, Hong
3 Müller, Siegfried
3 Nadarajah, Siva K.
3 Ortleb, Sigrun
3 Petzeltová, Hana
3 Ren, Yuxin
3 Sevilla, Ruben
3 Shu, Chi-Wang
3 Torlo, Davide
3 Trivisa, Konstantina
3 Weickert, Joachim
3 Welk, Martin
2 Arun, K. R.
2 Baum, Joseph D.
2 Breit, Dominic
2 Cecil, Thomas C.
2 Chen, Jiun-Shyan
2 Cohen, Albert
2 Courbet, Bernard
2 Croisille, Jean-Pierre
2 Dalcín, Lisandro D.
2 Delis, Argiris I.
2 Deng, Xi
2 Filimon, Alexander
2 Fischer, Bernd
2 Frankel, Steven H.
2 Freeden, Willi
2 Gelb, Anne
2 Graziani, Carlo
2 Haider, Florian
2 Han Veiga, Maria
2 Hempel, Daniel
2 Hesse, Kerstin
2 Hesthaven, Jan S.
2 Hofmanová, Martina
2 Iske, Armin
2 Ju, Qiangchang
2 Klar, Axel
2 Klingenberg, Christian F.
2 Kubatko, Ethan J.
2 Laurén, Fredrik
2 Lee, Dongwook
2 Liao, Shijun
2 Linders, Viktor
2 Löhner, Rainald
2 Lou, Shuai
2 Mucha, Piotr Bogusław
2 Nikolos, Ioannis K.
2 Nogueira, Xesús
2 Osher, Stanley Joel
2 Parsani, Matteo
2 Pelanti, Marica
2 Petrovskaya, Natalia B.
2 Pokorný, Milan
2 Postel, Marie
2 Reyes, Adam
2 Roller, Sabine
2 Russo, Giovanni
2 Samantaray, Saurav
...and 395 more Authors
all top 5

Cited in 80 Serials

75 Journal of Computational Physics
32 Journal of Scientific Computing
22 Computers and Fluids
10 Computer Methods in Applied Mechanics and Engineering
9 Applied Numerical Mathematics
8 Computers & Mathematics with Applications
8 Applied Mathematics and Computation
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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 Journal of Computational and Applied Mathematics
5 Numerische Mathematik
4 Numerical Algorithms
4 Archives of Computational Methods in Engineering
4 Communications in Computational Physics
3 Mathematics of Computation
3 BIT
3 International Journal for Numerical Methods in Engineering
3 SIAM Journal on Numerical Analysis
3 Computing and Visualization in Science
3 Central European Journal of Mathematics
3 Communications in Applied Mathematics and Computational Science
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Journal of Fluid Mechanics
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 Nonlinear Analysis. Real World Applications
2 International Journal of Computational Methods
2 Science China. Mathematics
2 SMAI Journal of Computational Mathematics
2 Communications on Applied Mathematics and Computation
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 Journal of Differential Equations
1 Physica D
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Computational Mathematics and Mathematical Physics
1 Historia Mathematica
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 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. B. Fluids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Journal of Turbulence
1 Journal of Evolution Equations
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 SN Partial Differential Equations and Applications
all top 5

Cited in 37 Fields

227 Numerical analysis (65-XX)
174 Fluid mechanics (76-XX)
141 Partial differential equations (35-XX)
11 Geophysics (86-XX)
10 History and biography (01-XX)
9 Biology and other natural sciences (92-XX)
8 Approximations and expansions (41-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 Special functions (33-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mathematics education (97-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Mechanics of deformable solids (74-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Computer science (68-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Ordinary differential equations (34-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 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-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 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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