# zbMATH — the first resource for mathematics

## Springer Series in Computational Mathematics

 Short Title: Springer Ser. Comput. Math. Publisher: Springer, Cham ISSN: 0179-3632; 2198-3712/e Online: http://rd.springer.com/bookseries/797 Comments: Book series; Indexed cover-to-cover
 Documents Indexed: 70 Publications (since 1983)
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#### Latest Volumes

 57 (2020) 56 (2019) 55 (2021) 54 (2019) 53 (2019) 52 (2018) 51 (2016) 50 (2016) 49 (2015) 48 (2015) 47 (2015) 46 (2014) 45 (2014) 44 (2013) 43 (2013) 42 (2012) 41 (2011) 40 (2011) 39 (2011) 38 (2008) 37 (2005) 36 (2004) 35 (2004/2011) 34 (2005) 33 (2003) 32 (2003) 31 (2002-2010) 30 (2002) 29 (2000/2009) 28 (2000) 27 (2000/2009) 26 (1999) 25 (1997) 24 (1996/2008) 23 (1994/2008) 22 (1994) 21 (1993) 20 (1993) 19 (1992) 18 (1992-2017) 17 (1992) 16 (1992) 15 (1991) 14 (1991-2010) 13 (1990) 12 (1991) 11 (1988) 10 (1988) 9 (1987) 8 (1987-2010) 7 (1986) 6 (1986) 5 (1986) 4 (1985) 3 (1985) 2 (1985) 1 (1983)
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#### Authors / Editors

 9 Hairer, Ernst 9 Wanner, Gerhard 8 Hackbusch, Wolfgang 3 Lubich, Christian 3 Nørsett, Syvert Paul 3 Varga, Richard Steven 2 Brezzi, Franco 2 Deuflhard, Peter 2 Fortin, Michel 2 Quarteroni, Alfio M. 2 Roos, Hans-Görg 2 Stynes, Martin 2 Tobiska, Lutz 2 Valli, Alberto 2 Wesseling, Pieter 1 Ainsworth, Mark 1 Allgower, Eugene L. 1 Atangana, Abdon 1 Bartels, Sören 1 Bellet, Michel 1 Boffi, Daniele 1 Boisvert, Ronald F. 1 Braess, Dietrich 1 Brezinski, Claude 1 Butcher, John C. 1 Conn, Andrew Roger 1 de Doncker, Elise 1 Delahaye, Jean-Paul 1 Deville, Michel O. 1 Ditzian, Zeev 1 Dolejší, Vít 1 Duintjer Tebbens, Jurjen 1 Ermoliev, Yuri M. 1 Feistauer, Miloslav 1 Georg, Kurt 1 Girault, Vivette 1 Gonchar, Andreĭ Aleksandrovich 1 Gould, Nick I. M. 1 Groß, Sven 1 Gustafsson, Bertil 1 Gwinner, Joachim 1 Hammer, Rolf 1 Hocks, Matthias 1 Huang, Yunqing 1 Hundsdorfer, Willem H. 1 John, Volker 1 Jovanović, Boško S. 1 Kahaner, David K. 1 Kulisch, Ulrich W. 1 Levesley, Jeremy 1 Li, Jichun 1 Marletta, Marco 1 Mei, Zhen 1 Meurant, Gérard A. 1 Nakao, Mitsuhiro T. 1 Owolabi, Kolade Matthew 1 Piessens, Robert 1 Plum, Michael 1 Pshenichnyj, Boris N. 1 Rappaz, Michel 1 Ratz, Dietmar 1 Raviart, Pierre-Arnaud 1 Reusken, Arnold 1 Rice, John R. 1 Rjasanow, Sergej 1 Robert, François 1 Ryaben’kiĭ, Viktor Solomonovich 1 Saff, Edward Barry 1 Sauter, Stefan A. 1 Sayas, Francisco-Javier 1 Schwab, Christoph 1 Shen, Jie 1 Shor, Naum Zuselevich 1 Sokołowski, Jan 1 Stenger, Frank 1 Stephan, Ernst Peter 1 Süli, Endre E. 1 Tang, Tao 1 Thomée, Vidar 1 Toint, Philippe L. 1 Toselli, Andrea 1 Totik, Vilmos 1 Überhuber, Christoph W. 1 Verwer, Jan G. 1 Wagner, Wolfgang 1 Wang, Lilian 1 Watanabe, Yoshitaka 1 Wets, Roger Jean-Baptiste 1 Widlund, Olof B. 1 Zolésio, Jean-Paul
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#### Fields

 61 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 17 Ordinary differential equations (34-XX) 14 Fluid mechanics (76-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of deformable solids (74-XX) 6 Operations research, mathematical programming (90-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

67 Publications have been cited 17,128 times in 14,793 Documents Cited by Year
Mixed and hybrid finite element methods. Zbl 0788.73002
Brezzi, Franco; Fortin, Michel
1991
Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077
Girault, Vivette; Raviart, Pierre-Arnaud
1986
Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1993
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. 2nd rev. ed. Zbl 0859.65067
Hairer, Ernst; Wanner, Gerhard
1996
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Zbl 1094.65125
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2006
Solving ordinary differential equations II: Stiff and differential-algebraic problems. Zbl 0729.65051
Hairer, Ernst; Wanner, Gerhard
1991
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
2005
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
2013
Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1987
Moduli of smoothness. Zbl 0666.41001
Ditzian, Z.; Totik, V.
1987
Numerical solution of time-dependent advection-diffusion-reaction equations. Zbl 1030.65100
Hundsdorfer, Willem; Verwer, Jan
2003
Numerical approximation of partial differential equations. Zbl 0803.65088
Quarteroni, Alfio; Valli, Alberto
1994
Multi-grid methods and applications. Zbl 0595.65106
Hackbusch, Wolfgang
1985
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Zbl 0994.65135
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2002
Introduction to shape optimization: shape sensitivity analysis. Zbl 0761.73003
Sokołowski, Jan; Zolesio, Jean-Paul
1992
Numerical methods based on sinc and analytic functions. Zbl 0803.65141
Stenger, Frank
1993
Numerical continuation methods. An introduction. Zbl 0717.65030
Allgower, Eugene L.; Georg, Kurt
1990
Galerkin finite element methods for parabolic problems. Zbl 0884.65097
Thomée, Vidar
1997
Robust numerical methods for singularly perturbed differential equations. Convection-diffusion-reaction and flow problems. 2nd ed. Zbl 1155.65087
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
2008
Matrix iterative analysis. 2nd revised and expanded ed. Zbl 0998.65505
Varga, Richard S.
2000
Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems. Zbl 0844.65075
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
1996
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
2011
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. Reprint of the 1996 2nd revised ed. Zbl 1192.65097
Hairer, Ernst; Wanner, Gerhard
2010
Minimization methods for non-differentiable functions. Transl. from the Russian by K. C. Kiwiel and A. Ruszczyński. Zbl 0561.90058
Shor, N. Z.
1985
Tensor spaces and numerical tensor calculus. Zbl 1244.65061
Hackbusch, Wolfgang
2012
Quadpack. A subroutine package for automatic integration. Zbl 0508.65005
Piessens, R.; de Doncker-Kapenga, E.; Überhuber, Christoph W.; Kahaner, D. K.
1983
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
2011
Numerical approximation of partial differential equations. 1st softcover printing. Zbl 1151.65339
Quarteroni, Alfio; Valli, Alberto
2008
Matrix iterative analysis. 1st softcover printing of the 2nd revised and expanded ed. 2000. Zbl 1216.65042
Varga, Richard S.
2009
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051
Deuflhard, Peter
2004
Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
2010
Geršgorin and his circles. Zbl 1057.15023
Varga, Richard S.
2004
LANCELOT. A Fortran package for large-scale nonlinear optimization (Release A). Zbl 0761.90087
Conn, Andrew R.; Gould, Nick I. M.; Toint, Philippe L.
1992
Nonlinear approximation theory. Zbl 0656.41001
Braess, Dietrich
1986
Numerical techniques for stochastic optimization. Zbl 0658.00020
Ermoliev, Yu. (ed.); Wets, R. J.-B. (ed.)
1988
Hierarchical matrices: algorithms and analysis. Zbl 1336.65041
Hackbusch, Wolfgang
2015
Numerical methods for two-phase incompressible flows. Zbl 1222.76002
Gross, Sven; Reusken, Arnold
2011
Time-domain finite element methods for Maxwell’s equations in metamaterials. Zbl 1304.78002
Li, Jichun; Huang, Yunqing
2013
Elliptic differential equations: theory and numerical treatment. Transl. from the German by Regine Fadiman and Patrick D. F. Ion. Zbl 0755.35021
Hackbusch, Wolfgang
1992
High order difference methods for time dependent PDE. Zbl 1146.65064
Gustafsson, Bertil
2008
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter
2011
Finite element methods for incompressible flow problems. Zbl 1358.76003
John, Volker
2016
Solving elliptic problems using ELLPACK. Zbl 0562.65064
Rice, John R.; Boisvert, Ronald F.
1985
Principles of computational fluid dynamics. Zbl 0960.76002
Wesseling, Pieter
2000
Numerical toolbox for verified computing. Volume I: Basic numerical problems. Theory, algorithms, and Pascal-XSC programs. Zbl 0796.65001
Hammer, Rolf; Hocks, Matthias; Kulisch, Ulrich; Ratz, Dietmar
1993
History of continued fractions and Padé approximants. Zbl 0714.01001
Brezinski, Claude
1991
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Reprint of the second 2006 ed. Zbl 1228.65237
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2010
Retarded potentials and time domain boundary integral equations. A road map. Zbl 1346.65047
Sayas, Francisco-Javier
2016
Method of difference potentials and its applications. Transl. from the Russian by N. K. Kulman. Zbl 0994.65107
Ryaben’kii, Viktor S.
2002
Numerical methods for nonlinear partial differential equations. Zbl 1314.65003
Bartels, Sören
2015
Discontinuous Galerkin method. Analysis and applications to compressible flow. Zbl 1401.76003
Dolejší, Vít; Feistauer, Miloslav
2015
Elliptic differential equations: theory and numerical treatment. Transl. from the German by Regine Fadiman and Patrick D. F. Ion. Paperback reprint of 1992 hardback edition. Zbl 1205.35060
Hackbusch, Wolfgang
2010
Stochastic numerics for the Boltzmann equation. Zbl 1155.82021
Rjasanow, Sergej; Wagner, Wolfgang
2005
Principles of computational fluid dynamics. Reprint of the 2000 hardback ed. Zbl 1185.76005
Wesseling, Pieter
2009
Analysis of finite difference schemes. For linear partial differential equations with generalized solutions. Zbl 1335.65071
Jovanović, Boško S.; Süli, Endre
2014
Numerical bifurcation analysis for reaction-diffusion equations. Zbl 0952.65105
Mei, Zhen
2000
Elliptic differential equations. Theory and numerical treatment. 2nd edition. Zbl 1379.35001
Hackbusch, Wolfgang
2017
Discrete iterations. A metric study. Transl. (from the French manuscript) by Jon Rokne. Zbl 0639.39005
Robert, François
1986
Advanced boundary element methods. Treatment of boundary value, transmission and contact problems. Zbl 1429.65001
Gwinner, Joachim; Stephan, Ernst Peter
2018
Numerical verification methods and computer-assisted proofs for partial differential equations. Zbl 1462.65004
Nakao, Mitsuhiro T.; Plum, Michael; Watanabe, Yoshitaka
2019
Sequence transformations. With an introduction by Claude Brezinski. Zbl 0652.65004
Delahaye, Jean-Paul
1988
Tensor spaces and numerical tensor calculus. 2nd revised edition. Zbl 07150978
Hackbusch, Wolfgang
2019
Progress in approximation theory. An international perspective. Proceedings of the international conference on approximation theory, Tampa, South Florida, USA, March 19-22, 1990. Zbl 0764.00001
Gonchar, A. A. (ed.); Saff, E. B. (ed.)
1992
The linearization method for constrained optimization. Transl. from the Russian by Stephen S. Wilson. Zbl 0804.49027
Pshenichnyj, B. N.
1994
Numerical methods for fractional differentiation. Zbl 1429.65005
2019
The graduate student’s guide to numerical analysis ’98. Lecture notes from the 8th EPSRC summer school in numerical analysis. Leicester, GB, July 5–17, 1998. Zbl 0920.00043
Ainsworth, Mark (ed.); Levesley, Jeremy (ed.); Marletta, Marco (ed.)
1999
The concept of stability in numerical mathematics. Zbl 1321.65139
Hackbusch, Wolfgang
2014
Numerical verification methods and computer-assisted proofs for partial differential equations. Zbl 1462.65004
Nakao, Mitsuhiro T.; Plum, Michael; Watanabe, Yoshitaka
2019
Tensor spaces and numerical tensor calculus. 2nd revised edition. Zbl 07150978
Hackbusch, Wolfgang
2019
Numerical methods for fractional differentiation. Zbl 1429.65005
2019
Advanced boundary element methods. Treatment of boundary value, transmission and contact problems. Zbl 1429.65001
Gwinner, Joachim; Stephan, Ernst Peter
2018
Elliptic differential equations. Theory and numerical treatment. 2nd edition. Zbl 1379.35001
Hackbusch, Wolfgang
2017
Finite element methods for incompressible flow problems. Zbl 1358.76003
John, Volker
2016
Retarded potentials and time domain boundary integral equations. A road map. Zbl 1346.65047
Sayas, Francisco-Javier
2016
Hierarchical matrices: algorithms and analysis. Zbl 1336.65041
Hackbusch, Wolfgang
2015
Numerical methods for nonlinear partial differential equations. Zbl 1314.65003
Bartels, Sören
2015
Discontinuous Galerkin method. Analysis and applications to compressible flow. Zbl 1401.76003
Dolejší, Vít; Feistauer, Miloslav
2015
Analysis of finite difference schemes. For linear partial differential equations with generalized solutions. Zbl 1335.65071
Jovanović, Boško S.; Süli, Endre
2014
The concept of stability in numerical mathematics. Zbl 1321.65139
Hackbusch, Wolfgang
2014
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
2013
Time-domain finite element methods for Maxwell’s equations in metamaterials. Zbl 1304.78002
Li, Jichun; Huang, Yunqing
2013
Tensor spaces and numerical tensor calculus. Zbl 1244.65061
Hackbusch, Wolfgang
2012
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
2011
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
2011
Numerical methods for two-phase incompressible flows. Zbl 1222.76002
Gross, Sven; Reusken, Arnold
2011
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Zbl 1226.65043
Deuflhard, Peter
2011
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. Reprint of the 1996 2nd revised ed. Zbl 1192.65097
Hairer, Ernst; Wanner, Gerhard
2010
Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
2010
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Reprint of the second 2006 ed. Zbl 1228.65237
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2010
Elliptic differential equations: theory and numerical treatment. Transl. from the German by Regine Fadiman and Patrick D. F. Ion. Paperback reprint of 1992 hardback edition. Zbl 1205.35060
Hackbusch, Wolfgang
2010
Matrix iterative analysis. 1st softcover printing of the 2nd revised and expanded ed. 2000. Zbl 1216.65042
Varga, Richard S.
2009
Principles of computational fluid dynamics. Reprint of the 2000 hardback ed. Zbl 1185.76005
Wesseling, Pieter
2009
Robust numerical methods for singularly perturbed differential equations. Convection-diffusion-reaction and flow problems. 2nd ed. Zbl 1155.65087
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
2008
Numerical approximation of partial differential equations. 1st softcover printing. Zbl 1151.65339
Quarteroni, Alfio; Valli, Alberto
2008
High order difference methods for time dependent PDE. Zbl 1146.65064
Gustafsson, Bertil
2008
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Zbl 1094.65125
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2006
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
2005
Stochastic numerics for the Boltzmann equation. Zbl 1155.82021
Rjasanow, Sergej; Wagner, Wolfgang
2005
Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Zbl 1056.65051
Deuflhard, Peter
2004
Geršgorin and his circles. Zbl 1057.15023
Varga, Richard S.
2004
Numerical solution of time-dependent advection-diffusion-reaction equations. Zbl 1030.65100
Hundsdorfer, Willem; Verwer, Jan
2003
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Zbl 0994.65135
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2002
Method of difference potentials and its applications. Transl. from the Russian by N. K. Kulman. Zbl 0994.65107
Ryaben&rsquo;kii, Viktor S.
2002
Matrix iterative analysis. 2nd revised and expanded ed. Zbl 0998.65505
Varga, Richard S.
2000
Principles of computational fluid dynamics. Zbl 0960.76002
Wesseling, Pieter
2000
Numerical bifurcation analysis for reaction-diffusion equations. Zbl 0952.65105
Mei, Zhen
2000
The graduate student’s guide to numerical analysis ’98. Lecture notes from the 8th EPSRC summer school in numerical analysis. Leicester, GB, July 5–17, 1998. Zbl 0920.00043
Ainsworth, Mark; Levesley, Jeremy; Marletta, Marco
1999
Galerkin finite element methods for parabolic problems. Zbl 0884.65097
Thomée, Vidar
1997
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. 2nd rev. ed. Zbl 0859.65067
Hairer, Ernst; Wanner, Gerhard
1996
Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems. Zbl 0844.65075
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
1996
Numerical approximation of partial differential equations. Zbl 0803.65088
Quarteroni, Alfio; Valli, Alberto
1994
The linearization method for constrained optimization. Transl. from the Russian by Stephen S. Wilson. Zbl 0804.49027
Pshenichnyj, B. N.
1994
Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1993
Numerical methods based on sinc and analytic functions. Zbl 0803.65141
Stenger, Frank
1993
Numerical toolbox for verified computing. Volume I: Basic numerical problems. Theory, algorithms, and Pascal-XSC programs. Zbl 0796.65001
Hammer, Rolf; Hocks, Matthias; Kulisch, Ulrich; Ratz, Dietmar
1993
Introduction to shape optimization: shape sensitivity analysis. Zbl 0761.73003
Sokołowski, Jan; Zolesio, Jean-Paul
1992
LANCELOT. A Fortran package for large-scale nonlinear optimization (Release A). Zbl 0761.90087
Conn, Andrew R.; Gould, Nick I. M.; Toint, Philippe L.
1992
Elliptic differential equations: theory and numerical treatment. Transl. from the German by Regine Fadiman and Patrick D. F. Ion. Zbl 0755.35021
Hackbusch, Wolfgang
1992
Progress in approximation theory. An international perspective. Proceedings of the international conference on approximation theory, Tampa, South Florida, USA, March 19-22, 1990. Zbl 0764.00001
Gonchar, A. A.; Saff, E. B.
1992
Mixed and hybrid finite element methods. Zbl 0788.73002
Brezzi, Franco; Fortin, Michel
1991
Solving ordinary differential equations II: Stiff and differential-algebraic problems. Zbl 0729.65051
Hairer, Ernst; Wanner, Gerhard
1991
History of continued fractions and Padé approximants. Zbl 0714.01001
Brezinski, Claude
1991
Numerical continuation methods. An introduction. Zbl 0717.65030
Allgower, Eugene L.; Georg, Kurt
1990
Numerical techniques for stochastic optimization. Zbl 0658.00020
Ermoliev, Yu.; Wets, R. J.-B.
1988
Sequence transformations. With an introduction by Claude Brezinski. Zbl 0652.65004
Delahaye, Jean-Paul
1988
Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1987
Moduli of smoothness. Zbl 0666.41001
Ditzian, Z.; Totik, V.
1987
Finite element methods for Navier-Stokes equations. Theory and algorithms. (Extended version of the 1979 publ.). Zbl 0585.65077
Girault, Vivette; Raviart, Pierre-Arnaud
1986
Nonlinear approximation theory. Zbl 0656.41001
Braess, Dietrich
1986
Discrete iterations. A metric study. Transl. (from the French manuscript) by Jon Rokne. Zbl 0639.39005
Robert, François
1986
Multi-grid methods and applications. Zbl 0595.65106
Hackbusch, Wolfgang
1985
Minimization methods for non-differentiable functions. Transl. from the Russian by K. C. Kiwiel and A. Ruszczyński. Zbl 0561.90058
Shor, N. Z.
1985
Solving elliptic problems using ELLPACK. Zbl 0562.65064
Rice, John R.; Boisvert, Ronald F.
1985
Quadpack. A subroutine package for automatic integration. Zbl 0508.65005
Piessens, R.; de Doncker-Kapenga, E.; Überhuber, Christoph W.; Kahaner, D. K.
1983
all top 5

#### Cited by 14,529 Authors

 95 Gatica, Gabriel N. 61 Wu, Xinyuan 60 Lubich, Christian 56 Quarteroni, Alfio M. 52 Jackiewicz, Zdzislaw 50 Carstensen, Carsten 49 Weiner, Rüdiger 46 He, Yinnian 45 Hairer, Ernst 45 Ostermann, Alexander 44 Bernardi, Christine 43 Codina, Ramon 42 Hackbusch, Wolfgang 41 Xu, Jinchao 40 Nicaise, Serge 39 Cockburn, Bernardo 39 Li, Jichun 38 Vabishchevich, Pëtr Nikolaevich 36 Ruiz-Baier, Ricardo 35 Luo, Zhendong 35 Praetorius, Dirk 35 Wang, Bin 35 Wohlmuth, Barbara I. 35 Zhang, Shangyou 34 Beirão da Veiga, Lourenço 34 Huang, Yunqing 33 Meddahi, Salim 33 Oyarzúa, Ricardo 33 Sayas, Francisco-Javier 33 Simos, Theodore E. 32 Gander, Martin Jakob 32 Girault, Vivette 32 John, Volker 32 Zhang, Zhimin 31 Chen, Yanping 31 Vohralík, Martin 31 You, Xiong 30 Boffi, Daniele 30 Brezzi, Franco 30 Mastroianni, Giuseppe 30 Montijano, Juan Ignacio 30 Sandu, Adrian 30 Shen, Jie 29 Chartier, Philippe 29 Hiptmair, Ralf 29 Rodríguez, Rodolfo 29 Ye, Xiu 28 Rozza, Gianluigi 28 Sokołowski, Jan 28 Wang, Yushun 27 Duan, Huoyuan 27 Ramos, Higinio 27 Yotov, Ivan 26 Badia, Santiago 26 Brenner, Susanne Cecelia 26 Chen, Zhangxin 26 Ciarlet, Patrick jun. 26 González-Pinto, Severiano 26 Nochetto, Ricardo Horacio 26 Rández, Luis 26 Rui, Hongxing 26 Schwab, Christoph 26 Simeon, Bernd 26 Wheeler, Mary Fanett 25 Bai, Zhongzhi 25 Fang, Yonglei 25 Harbrecht, Helmut 25 Khoromskij, Boris N. 25 Kulikov, Gennady Yur’evich 25 Lovadina, Carlo 25 Lubinsky, Doron S. 25 Mora, David 25 Olshanskii, Maxim A. 25 Sommeijer, Ben P. 25 van der Houwen, Pieter J. 25 Xie, Hehu 24 Brugnano, Luigi 24 Butcher, John C. 24 Calvo, Manuel 24 D’Ambrosio, Raffaele 24 Faou, Erwan 24 Faragó, István 24 Hoppe, Ronald H. W. 24 Li, Jian 24 Matthies, Gunar 24 Murua, Ander 24 Pavarino, Luca Franco 24 Van Daele, Marnix 24 Vassilevski, Panayot Spirov 23 Gastaldi, Lucia 23 Linke, Alexander 23 Manzini, Gianmarco 23 Mohanty, Ranjan Kumar 23 Reusken, Arnold 23 Stenberg, Rolf 22 Agrawal, Purshottam Narain 22 Ainsworth, Mark 22 Auzinger, Winfried 22 Axelsson, Axel Owe Holger 22 Bartels, Sören ...and 14,429 more Authors
all top 5

#### Cited in 708 Journals

 894 Journal of Computational and Applied Mathematics 688 Computer Methods in Applied Mechanics and Engineering 630 Applied Numerical Mathematics 594 Journal of Computational Physics 553 Journal of Scientific Computing 525 Numerische Mathematik 491 Applied Mathematics and Computation 478 Mathematics of Computation 438 Computers & Mathematics with Applications 335 SIAM Journal on Scientific Computing 314 Numerical Algorithms 304 BIT 277 Numerical Methods for Partial Differential Equations 268 International Journal for Numerical Methods in Engineering 263 SIAM Journal on Numerical Analysis 189 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 170 International Journal for Numerical Methods in Fluids 151 Advances in Computational Mathematics 137 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 135 International Journal of Computer Mathematics 130 Calcolo 121 Numerical Linear Algebra with Applications 114 Linear Algebra and its Applications 112 Journal of Mathematical Analysis and Applications 110 Journal of Approximation Theory 101 Computing 100 Mathematics and Computers in Simulation 99 Mathematical Methods in the Applied Sciences 97 Journal of Optimization Theory and Applications 92 Computer Physics Communications 89 Computers and Fluids 86 Applied Mathematics Letters 82 Computational Mechanics 75 Numerical Functional Analysis and Optimization 74 Computational and Applied Mathematics 69 Japan Journal of Industrial and Applied Mathematics 69 Applied Mathematical Modelling 69 Mathematical Programming. Series A. Series B 69 Computational Optimization and Applications 69 Computational Geosciences 65 Foundations of Computational Mathematics 63 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 57 Mathematical Problems in Engineering 57 Computational Methods in Applied Mathematics 55 Computing and Visualization in Science 53 Abstract and Applied Analysis 52 Computational Mathematics and Mathematical Physics 51 RAIRO. Modélisation Mathématique et Analyse Numérique 51 Journal of Applied Mathematics and Computing 49 Mathematical and Computer Modelling 46 Engineering Analysis with Boundary Elements 46 Communications in Nonlinear Science and Numerical Simulation 45 Communications in Numerical Methods in Engineering 45 Optimization Methods & Software 45 Multiscale Modeling & Simulation 44 Comptes Rendus. Mathématique. Académie des Sciences, Paris 43 Applied Mathematics and Mechanics. (English Edition) 43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 42 Discrete and Continuous Dynamical Systems. Series B 41 Journal of Applied Mathematics 40 SIAM Journal on Matrix Analysis and Applications 40 Multibody System Dynamics 38 Applications of Mathematics 38 Advances in Difference Equations 37 Advances in Applied Mathematics and Mechanics 34 Celestial Mechanics and Dynamical Astronomy 34 Journal of Mathematical Chemistry 33 Physics Letters. A 32 Annals of Operations Research 32 Journal of Inequalities and Applications 32 Science China. Mathematics 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 SIAM Journal on Control and Optimization 31 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 31 Archives of Computational Methods in Engineering 30 Acta Mathematicae Applicatae Sinica. English Series 30 Nonlinear Dynamics 29 Journal of Differential Equations 29 Differential Equations 28 Physica D 28 International Journal of Computational Methods 28 SIAM/ASA Journal on Uncertainty Quantification 27 Applicable Analysis 27 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 27 Constructive Approximation 27 Discrete and Continuous Dynamical Systems 27 Discrete and Continuous Dynamical Systems. Series S 26 Journal of Global Optimization 26 European Journal of Operational Research 26 Journal of Mathematical Sciences (New York) 26 Journal of Numerical Mathematics 26 S$$\vec{\text{e}}$$MA Journal 25 Journal of Complexity 25 Cybernetics and Systems Analysis 24 Journal of Fluid Mechanics 24 Results in Mathematics 24 Optimization 24 Journal of Nonlinear Science 24 ETNA. Electronic Transactions on Numerical Analysis 23 Archive for Rational Mechanics and Analysis ...and 608 more Journals
all top 5

#### Cited in 61 Fields

 10,583 Numerical analysis (65-XX) 4,242 Partial differential equations (35-XX) 3,056 Fluid mechanics (76-XX) 1,676 Ordinary differential equations (34-XX) 1,554 Mechanics of deformable solids (74-XX) 862 Calculus of variations and optimal control; optimization (49-XX) 724 Approximations and expansions (41-XX) 653 Operations research, mathematical programming (90-XX) 560 Dynamical systems and ergodic theory (37-XX) 503 Optics, electromagnetic theory (78-XX) 461 Biology and other natural sciences (92-XX) 422 Mechanics of particles and systems (70-XX) 411 Probability theory and stochastic processes (60-XX) 399 Linear and multilinear algebra; matrix theory (15-XX) 300 Integral equations (45-XX) 291 Systems theory; control (93-XX) 281 Statistical mechanics, structure of matter (82-XX) 245 Operator theory (47-XX) 235 Computer science (68-XX) 234 Classical thermodynamics, heat transfer (80-XX) 186 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 172 Geophysics (86-XX) 166 Real functions (26-XX) 159 Statistics (62-XX) 147 Quantum theory (81-XX) 130 Harmonic analysis on Euclidean spaces (42-XX) 125 Functional analysis (46-XX) 121 Information and communication theory, circuits (94-XX) 81 Functions of a complex variable (30-XX) 78 Special functions (33-XX) 75 Combinatorics (05-XX) 74 Global analysis, analysis on manifolds (58-XX) 52 Differential geometry (53-XX) 50 Integral transforms, operational calculus (44-XX) 49 Difference and functional equations (39-XX) 45 Potential theory (31-XX) 30 History and biography (01-XX) 28 Astronomy and astrophysics (85-XX) 25 General and overarching topics; collections (00-XX) 25 Relativity and gravitational theory (83-XX) 24 Number theory (11-XX) 24 Algebraic geometry (14-XX) 22 Field theory and polynomials (12-XX) 18 Sequences, series, summability (40-XX) 18 General topology (54-XX) 17 Nonassociative rings and algebras (17-XX) 16 Convex and discrete geometry (52-XX) 14 Associative rings and algebras (16-XX) 13 Measure and integration (28-XX) 12 Topological groups, Lie groups (22-XX) 8 Manifolds and cell complexes (57-XX) 7 Commutative algebra (13-XX) 6 Mathematical logic and foundations (03-XX) 6 Geometry (51-XX) 6 Algebraic topology (55-XX) 6 Mathematics education (97-XX) 4 Abstract harmonic analysis (43-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX)