Texts in Applied Mathematics Short Title: Texts Appl. Math. Publisher: Springer, Cham ISSN: 0939-2475; 2196-9949/e Online: http://rd.springer.com/bookseries/1214 Comments: Book series; Indexed cover-to-cover Documents Indexed: 108 Publications (since 1988) all top 5 Latest Volumes 77 (2024) 76 (2023) 75 (2023) 74 (2021) 73 (2021) 72 (2020) 71 (2020) 70 (2019) 69 (2019) 68 (2018) 67 (2018) 66 (2017) 65 (2016) 64 (2016) 63 (2015) 62 (2015) 61 (2015) 60 (2014) 59 (2015) 58 (2013) 57 (2011) 56 (2009/2019) 55 (2008) 54 (2008) 53 (2008) 52 (2007) 51 (2005/2013) 50 (2005) 49 (2005) 48 (2005/2010) 47 (2004/2015) 46 (2004) 45 (2003/2009) 44 (2003/2021) 43 (2003) 42 (2002) 41 (2002) 40 (2001/2012) 39 (2001-2009) 38 (2001/2011) 37 (2000/2007) 36 (2000) 35 (2000) 34 (1999-2024) 33 (1999) 32 (1998/2010) 31 (1999/2020) 30 (1999) 29 (1998-2009) 28 (1998) 27 (1998) 26 (1997) 25 (1997/2011) 24 (1996) 23 (1996) 22 (1995) 21 (1995) 20 (1995-2013) 19 (1995) 18 (1995) 17 (1994/1999) 16 (1994) 15 (1994-2008) 14 (1994) 13 (1996/2004) 12 (1993/2002) 11 (1993) 10 (1992/2002) 9 (1991) 8 (1991) 7 (1991-2001) 6 (1990/1998) 5 (1990) 4 (1990/1993) 3 (1991) 2 (1990/2003) 1 (1988) all top 5 Authors / Editors 6 Holmes, Mark H. 4 Marsden, Jerrold Eldon 3 Atkinson, Kendall Eugene 3 Brauer, Fred 3 BrĂ©maud, Pierre 3 Brenner, Susanne Cecelia 3 Castillo-Chavez, Carlos 3 Chicone, Carmen C. 3 Chorin, Alexandre Joel 3 Ern, Alexandre 3 Guermond, Jean-Luc 3 Han, Weimin 3 Perko, Lawrence M. 3 Scott, Larkin Ridgway 3 Tveito, Aslak 3 Winther, Ragnar 2 Angermann, Lutz 2 Bondeson, Anders 2 Bulirsch, Roland ZdenÄ›k 2 Curtain, Ruth Frances 2 Deuflhard, Peter 2 Durran, Dale R. 2 Gallier, Jean H. 2 Hinrichsen, Diederich 2 Hoppensteadt, Frank C. 2 Hubbard, John Hamal 2 Ingelström, Pär 2 Knabner, Peter 2 Larsson, Stig 2 Naber, Gregory L. 2 Ockendon, Hilary 2 Ockendon, John R. 2 Pavliotis, Grigorios A. 2 Peskin, Charles S. 2 Pritchard, Anthony J. 2 Quarteroni, Alfio M. 2 Ratiu, Tudor Stefan 2 Renardy, Michael 2 Rogers, Robert C. 2 Rylander, Thomas 2 Sacco, Riccardo 2 Saleri, Fausto 2 Sontag, Eduardo D. 2 Stoer, Josef 2 Stuart, Andrew M. 2 ThomĂ©e, Vidar 2 West, Beverly H. 2 Wiggins, Stephen R. 2 Zwart, Hans J. 1 Allaire, GrĂ©goire 1 Banks, Robert B. 1 Bartels, Sören 1 Björck, Ă…ke 1 Börgers, Christoph 1 Bornemann, Folkmar A. 1 Bullo, Francesco 1 Cain, John W. 1 Chowell, Gerardo 1 Coombes, Stephen 1 Dullerud, Geir E. 1 Feng, Zhilan 1 Gasquet, Claude 1 Glass, Leon 1 González-Sánchez, David 1 Gustafson, Grant B. 1 Hald, Ole Hansen 1 Hale, Jack Kenneth 1 Hernández-Lerma, OnĂ©simo 1 Hesthaven, Jan S. 1 Hohmann, Andreas 1 Iske, Armin 1 Kaber, Sidimahmoud 1 Kaplan, Daniel T. 1 Kielhöfer, Hansjörg 1 Kocak, Huseyin 1 Laura-Guarachi, Leonardo R. 1 Law, Kody J. H. 1 Lewis, Andrew D. 1 Martcheva, Maia 1 Mendoza-Palacios, Saul 1 Merkin, David R. 1 Paganini, Fernando 1 Pedregal, Pablo 1 Pipkin, Allen C. 1 Polderman, Jan Willem 1 Reddy, B. Dayanand 1 Rupp, Andreas 1 Schaeffer, David G. 1 Seaborn, James B. 1 Sirovich, Lawrence 1 Smith, Hal Leslie 1 Sullivan, Tim 1 Taylor, Michael Eugene 1 Van de Velde, Eric F. 1 Verhulst, Ferdinand 1 Warburton, Timothy 1 Wedgwood, Kyle C. A. 1 Wilcox, Calvin H. 1 Willems, Jan Camiel 1 Witomski, Patrick ...and 2 more Authors all top 5 Fields 46 Numerical analysis (65-XX) 33 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 15 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 11 Fluid mechanics (76-XX) 11 Systems theory; control (93-XX) 10 Mechanics of particles and systems (70-XX) 9 General and overarching topics; collections (00-XX) 8 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 5 Topological groups, Lie groups (22-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 17,116 times in 16,153 Documents Cited by ▼ Year ▼ The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042 Brenner, Susanne C.; Scott, L. Ridgway 1,693 2008 The mathematical theory of finite element methods. Zbl 0804.65101 Brenner, Susanne C.; Scott, L. Ridgway 1,065 1994 Introduction to applied nonlinear dynamical systems and chaos. Zbl 0701.58001 Wiggins, Stephen 831 1990 Introduction to applied nonlinear dynamical systems and chaos. 2nd ed. Zbl 1027.37002 Wiggins, Stephen 821 2003 An introduction to infinite-dimensional linear systems theory. Zbl 0839.93001 Curtain, Ruth F.; Zwart, Hans 806 1995 Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068 Hesthaven, Jan S.; Warburton, Tim 665 2008 Differential equations and dynamical systems. 3rd ed. Zbl 0973.34001 Perko, Lawrence 602 2001 Mathematical models in population biology and epidemiology. Zbl 0967.92015 Brauer, Fred; Castillo-Chávez, Carlos 533 2001 The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115 Brenner, Susanne C.; Scott, L. Ridgway 519 2002 Mathematical control theory. Deterministic finite dimensional systems. 2nd ed. Zbl 0945.93001 Sontag, Eduardo D. 504 1998 Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003 Marsden, Jerrold E.; Ratiu, Tudor S. 484 1999 Introduction to numerical analysis. Transl. from the German by R. Bartels, W. Gautschi, and C. Witzgall. 3rd ed. Zbl 1004.65001 Stoer, J.; Bulirsch, R. 434 2002 Mathematical models in population biology and epidemiology. 2nd ed. Zbl 1302.92001 Brauer, Fred; Castillo-Chavez, Carlos 374 2012 An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001 Smith, Hal 372 2011 Differential equations and dynamical systems. Zbl 0717.34001 Perko, Lawrence 368 1991 Introduction to numerical analysis. Translated from the German by R. Bartels, W. Gautschi and C. Witzgall. 2. ed. Zbl 0771.65002 Stoer, J.; Bulirsch, R. 336 1993 Multiscale methods. Averaging and homogenization. Zbl 1160.35006 Pavliotis, Grigorios A.; Stuart, Andrew M. 334 2008 An introduction to mathematical epidemiology. Zbl 1333.92006 Martcheva, Maia 325 2015 Partial differential equations. Basic theory. pbk-ed. Zbl 0869.35001 Taylor, Michael E. 308 1996 Numerical partial differential equations: Finite difference methods. Zbl 0831.65087 Thomas, J. W. 271 1995 Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001 Chicone, Carmen 267 2006 An introduction to partial differential equations. 2nd ed. Zbl 1072.35001 Renardy, Michael; Rogers, Robert C. 250 2004 Dynamics and bifurcations. Zbl 0745.58002 Hale, Jack K.; Koçak, HĂĽseyin 249 1991 Differential equations and dynamical systems. 2nd ed. Zbl 0854.34001 Perko, Lawrence 247 1996 Theoretical numerical analysis. A functional analysis framework. 3rd ed. Zbl 1181.47078 Atkinson, Kendall; Han, Weimin 227 2009 Markov chains. Gibbs fields, Monte Carlo simulation, and queues. Zbl 0949.60009 BrĂ©maud, Pierre 216 1999 Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003 Pavliotis, Grigorios A. 216 2014 Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002 Marsden, Jerrold E.; Ratiu, Tudor S. 173 1994 Data assimilation. A mathematical introduction. Zbl 1353.60002 Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos 171 2015 Geometric control of mechanical systems. Modeling, analysis, and design for simple mechanical control systems. Zbl 1066.70002 Bullo, Francesco; Lewis, Andrew D. 161 2005 Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. Zbl 1074.93003 Hinrichsen, Diederich; Pritchard, Anthony J. 161 2005 Introduction to perturbation methods. Zbl 0830.34001 Holmes, Mark H. 151 1995 Mathematical control theory. Deterministic finite dimensional systems. Zbl 0703.93001 Sontag, Eduardo D. 150 1990 Ordinary differential equations with applications. Zbl 0937.34001 Chicone, Carmen 133 1999 Numerical mathematics. 2nd ed. Zbl 1136.65001 Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto 130 2007 Introduction to uncertainty quantification. Zbl 1336.60002 Sullivan, T. J. 127 2015 Methods and applications of singular perturbations. Boundary layers and multiple timescale dynamics. Zbl 1148.35006 Verhulst, Ferdinand 118 2005 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008 Chorin, A. J.; Marsden, J. E. 118 1990 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001 Chorin, Alexandre J.; Marsden, Jerrold E. 117 1993 A course in robust control theory. Zbl 0939.93001 Dullerud, Geir E.; Paganini, Fernando 113 2000 Introduction to mathematical systems theory. A behavioral approach. Zbl 0940.93002 Polderman, Jan Willem; Willems, Jan C. 103 1997 Mathematical models in epidemiology. Zbl 1433.92001 Brauer, Fred; Castillo-Chavez, Carlos; Feng, Zhilan 100 2019 Numerical mathematics. Zbl 0957.65001 Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto 96 2000 Theoretical numerical analysis. A functional analysis framework. 2nd ed. Zbl 1068.47091 Atkinson, Kendall; Han, Weimin 90 2005 Numerical methods for elliptic and parabolic partial differential equations. Translation from the German. Zbl 1034.65086 Knabner, Peter; Angermann, Lutz 84 2003 Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071 Deuflhard, Peter; Bornemann, Folkmar 79 2002 Theoretical numerical analysis. A functional analysis framework. Zbl 0966.65001 Atkinson, Kendall; Han, Weimin 78 2001 Partial differential equations with numerical methods. Zbl 1025.65002 Larsson, Stig; ThomĂ©e, Vidar 63 2003 Numerical methods in matrix computations. Zbl 1322.65047 Björck, Ă…ke 61 2015 Numerical methods for fluid dynamics. With applications to geophysics. 2nd ed. Zbl 1214.76001 Durran, Dale R. 59 2010 Integral transforms and their applications. 3rd ed. Zbl 0996.44001 Davies, Brian 57 2002 Introduction to perturbation methods. 2nd ed. Zbl 1270.34002 Holmes, Mark H. 56 2013 Growth and diffusion phenomena. Mathematical frameworks and applications. Zbl 0788.92001 Banks, Robert B. 56 1994 Numerical methods for wave equations in geophysical fluid dynamics. Zbl 0918.76001 Durran, Dale R. 53 1998 Numerical partial differential equation. Conservation laws and elliptic equations. Zbl 0927.65109 Thomas, J. W. 52 1999 Understanding nonlinear dynamics. Zbl 0823.34002 Kaplan, Daniel; Glass, Leon 50 1995 Fourier analysis and applications. Filtering, numerical computation, wavelets. Transl. from the French by R. Ryan. Zbl 0931.94001 Gasquet, Claude; Witomski, Patrick 49 1999 Hypergeometric functions and their applications. Zbl 0744.33001 Seaborn, James B. 46 1991 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 45 2021 Partial differential equations. Analytical solution techniques. Zbl 0937.35001 Kevorkian, J. 42 2000 Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001 Deuflhard, Peter; Hohmann, Andreas 34 2003 Differential equations and their applications. An introduction to applied mathematics. Zbl 0771.34001 Braun, Martin 31 1993 Numerical linear algebra. Zbl 1135.65014 Allaire, GrĂ©goire; Kaber, Sidi Mahmoud 30 2008 Geometric methods and applications. For computer science and engineering. 2nd ed. Zbl 1247.53001 Gallier, Jean 30 2011 A course on integral equations. Zbl 0743.45002 Pipkin, Allen C. 29 1991 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 28 2020 Introduction to infinite-dimensional systems theory. A state-space approach. Zbl 1459.93001 Curtain, Ruth; Zwart, Hans 28 2020 Numerical approximation of partial differential equations. Zbl 1353.65089 Bartels, Sören 26 2016 Partial differential equations with numerical methods. Paperback reprint. Zbl 1157.65001 Larsson, Stig; ThomĂ©e, Vidar 26 2009 Differential equations: a dynamical systems approach. P. 2: Higher dimensional systems. Zbl 0824.34001 Hubbard, John H.; West, Beverly H. 22 1995 Computational electromagnetics. Zbl 1111.78001 Bondeson, Anders; Rylander, Thomas; Ingelström, Pär 22 2005 Introductory functional analysis. With applications to boundary value problems and finite elements. Zbl 0893.46002 Reddy, B. Daya 21 1998 Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. 1st ed., corrected printing. Zbl 1183.93002 Hinrichsen, Diederich; Pritchard, Anthony J. 20 2010 Modeling and simulation in medicine and the life sciences. 2nd ed. Zbl 1013.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 2002 Mathematics in medicine and the life sciences. Zbl 0744.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 1992 Geometric methods and applications. For computer science and engineering. Zbl 1031.53001 Gallier, Jean 18 2001 Introduction to numerical methods in differential equations. Zbl 1110.65001 Holmes, Mark H. 18 2007 Introduction to partial differential equations: a computational approach. Zbl 0906.35001 Tveito, Aslak; Winther, Ragnar 16 1998 Waves and compressible flow. Zbl 1041.76001 Ockendon, Hilary; Ockendon, John R. 16 2004 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 16 2021 Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001 Chorin, Alexandre J.; Hald, Ole H. 15 2013 Introduction to optimization. Zbl 1036.90002 Pedregal, Pablo 14 2004 An introduction to modeling neuronal dynamics. Zbl 1382.92001 Börgers, Christoph 14 2017 Ordinary differential equations: basics and beyond. Zbl 1364.34003 Schaeffer, David G.; Cain, John W. 14 2016 Markov chains. Gibbs fields, Monte Carlo simulation and queues. 2nd revised and augmented edition. Zbl 1435.60003 BrĂ©maud, Pierre 13 2020 An introduction to partial differential equations. Corr. 2nd printing. Zbl 0917.35002 Renardy, Michael; Rogers, Robert C. 12 1996 Introduction to perturbation methods. 2nd corrected printing. Zbl 0980.34052 Holmes, Mark H. 11 1998 Concurrent scientific computing. Zbl 0797.65001 Van de Velde, Eric 11 1994 Topology, geometry and gauge fields. Foundations. 2nd ed. Zbl 1231.53002 Naber, Gregory L. 10 2011 Quantitative methods for investigating infectious disease outbreaks. Zbl 1422.92002 Yan, Ping; Chowell, Gerardo 10 2019 Introduction to the theory of stability. Transl. from the Russian and ed. by Fred F. Afagh and Andrej L. Smirnov. Zbl 0859.34035 Merkin, David R. 9 1996 Topology, geometry, and gauge fields: Foundations. Zbl 0876.53002 Naber, Gregory L. 9 1997 Introduction to the foundations of applied mathematics. Zbl 1250.74002 Holmes, Mark H. 9 2009 Approximation theory and algorithms for data analysis. Zbl 1411.41001 Iske, Armin 8 2018 Introduction to partial differential equations: a computational approach. Corr. 2nd printing. Zbl 1063.35002 Tveito, Aslak; Winther, Ragnar 6 2005 Introduction to applied mathematics. Zbl 0673.00005 Sirovich, Lawrence 5 1988 Differential equations: A dynamical systems approach. Part 1: Ordinary differential equations. Zbl 0724.34001 Hubbard, John H.; West, Beverly H. 5 1990 Numerical methods for elliptic and parabolic partial differential equations. With contributions by Andreas Rupp. 2nd expanded edition. Zbl 1483.65003 Knabner, Peter; Angermann, Lutz 5 2021 Analytical and computational methods of advanced engineering mathematics. Zbl 0912.00002 Gustafson, Grant B.; Wilcox, Calvin H. 2 1998 Waves and compressible flow. 2nd edition. Zbl 1339.76001 Ockendon, Hilary; Ockendon, John R. 2 2015 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 45 2021 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 16 2021 Numerical methods for elliptic and parabolic partial differential equations. With contributions by Andreas Rupp. 2nd expanded edition. Zbl 1483.65003 Knabner, Peter; Angermann, Lutz 5 2021 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 28 2020 Introduction to infinite-dimensional systems theory. A state-space approach. Zbl 1459.93001 Curtain, Ruth; Zwart, Hans 28 2020 Markov chains. Gibbs fields, Monte Carlo simulation and queues. 2nd revised and augmented edition. Zbl 1435.60003 BrĂ©maud, Pierre 13 2020 Mathematical models in epidemiology. Zbl 1433.92001 Brauer, Fred; Castillo-Chavez, Carlos; Feng, Zhilan 100 2019 Quantitative methods for investigating infectious disease outbreaks. Zbl 1422.92002 Yan, Ping; Chowell, Gerardo 10 2019 Approximation theory and algorithms for data analysis. Zbl 1411.41001 Iske, Armin 8 2018 Calculus of variations. An introduction to the one-dimensional theory with examples and exercises. Translated from the German by the author. Zbl 1390.49001 Kielhöfer, Hansjörg 2 2018 An introduction to modeling neuronal dynamics. Zbl 1382.92001 Börgers, Christoph 14 2017 Numerical approximation of partial differential equations. Zbl 1353.65089 Bartels, Sören 26 2016 Ordinary differential equations: basics and beyond. Zbl 1364.34003 Schaeffer, David G.; Cain, John W. 14 2016 An introduction to mathematical epidemiology. Zbl 1333.92006 Martcheva, Maia 325 2015 Data assimilation. A mathematical introduction. Zbl 1353.60002 Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos 171 2015 Introduction to uncertainty quantification. Zbl 1336.60002 Sullivan, T. J. 127 2015 Numerical methods in matrix computations. Zbl 1322.65047 Björck, Ă…ke 61 2015 Waves and compressible flow. 2nd edition. Zbl 1339.76001 Ockendon, Hilary; Ockendon, John R. 2 2015 Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003 Pavliotis, Grigorios A. 216 2014 Introduction to perturbation methods. 2nd ed. Zbl 1270.34002 Holmes, Mark H. 56 2013 Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001 Chorin, Alexandre J.; Hald, Ole H. 15 2013 Computational electromagnetics. 2nd revised ed. Zbl 1259.78002 Rylander, Thomas; Ingelström, Pär; Bondeson, Anders 1 2013 Mathematical models in population biology and epidemiology. 2nd ed. Zbl 1302.92001 Brauer, Fred; Castillo-Chavez, Carlos 374 2012 An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001 Smith, Hal 372 2011 Geometric methods and applications. For computer science and engineering. 2nd ed. Zbl 1247.53001 Gallier, Jean 30 2011 Topology, geometry and gauge fields. Foundations. 2nd ed. Zbl 1231.53002 Naber, Gregory L. 10 2011 Numerical methods for fluid dynamics. With applications to geophysics. 2nd ed. Zbl 1214.76001 Durran, Dale R. 59 2010 Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. 1st ed., corrected printing. Zbl 1183.93002 Hinrichsen, Diederich; Pritchard, Anthony J. 20 2010 Theoretical numerical analysis. A functional analysis framework. 3rd ed. Zbl 1181.47078 Atkinson, Kendall; Han, Weimin 227 2009 Partial differential equations with numerical methods. Paperback reprint. Zbl 1157.65001 Larsson, Stig; ThomĂ©e, Vidar 26 2009 Introduction to the foundations of applied mathematics. Zbl 1250.74002 Holmes, Mark H. 9 2009 Introduction to partial differential equations. A computational approach. Paperback reprint. Zbl 1171.35002 Tveito, Aslak; Winther, Ragnar 1 2009 The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042 Brenner, Susanne C.; Scott, L. Ridgway 1,693 2008 Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068 Hesthaven, Jan S.; Warburton, Tim 665 2008 Multiscale methods. Averaging and homogenization. Zbl 1160.35006 Pavliotis, Grigorios A.; Stuart, Andrew M. 334 2008 Numerical linear algebra. Zbl 1135.65014 Allaire, GrĂ©goire; Kaber, Sidi Mahmoud 30 2008 Numerical mathematics. 2nd ed. Zbl 1136.65001 Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto 130 2007 Introduction to numerical methods in differential equations. Zbl 1110.65001 Holmes, Mark H. 18 2007 Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001 Chicone, Carmen 267 2006 Geometric control of mechanical systems. Modeling, analysis, and design for simple mechanical control systems. Zbl 1066.70002 Bullo, Francesco; Lewis, Andrew D. 161 2005 Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. Zbl 1074.93003 Hinrichsen, Diederich; Pritchard, Anthony J. 161 2005 Methods and applications of singular perturbations. Boundary layers and multiple timescale dynamics. Zbl 1148.35006 Verhulst, Ferdinand 118 2005 Theoretical numerical analysis. A functional analysis framework. 2nd ed. Zbl 1068.47091 Atkinson, Kendall; Han, Weimin 90 2005 Computational electromagnetics. Zbl 1111.78001 Bondeson, Anders; Rylander, Thomas; Ingelström, Pär 22 2005 Introduction to partial differential equations: a computational approach. Corr. 2nd printing. Zbl 1063.35002 Tveito, Aslak; Winther, Ragnar 6 2005 An introduction to partial differential equations. 2nd ed. Zbl 1072.35001 Renardy, Michael; Rogers, Robert C. 250 2004 Waves and compressible flow. Zbl 1041.76001 Ockendon, Hilary; Ockendon, John R. 16 2004 Introduction to optimization. Zbl 1036.90002 Pedregal, Pablo 14 2004 Introduction to applied nonlinear dynamical systems and chaos. 2nd ed. Zbl 1027.37002 Wiggins, Stephen 821 2003 Numerical methods for elliptic and parabolic partial differential equations. Translation from the German. Zbl 1034.65086 Knabner, Peter; Angermann, Lutz 84 2003 Partial differential equations with numerical methods. Zbl 1025.65002 Larsson, Stig; ThomĂ©e, Vidar 63 2003 Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. Zbl 1025.65001 Deuflhard, Peter; Hohmann, Andreas 34 2003 The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115 Brenner, Susanne C.; Scott, L. Ridgway 519 2002 Introduction to numerical analysis. Transl. from the German by R. Bartels, W. Gautschi, and C. Witzgall. 3rd ed. Zbl 1004.65001 Stoer, J.; Bulirsch, R. 434 2002 Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071 Deuflhard, Peter; Bornemann, Folkmar 79 2002 Integral transforms and their applications. 3rd ed. Zbl 0996.44001 Davies, Brian 57 2002 Modeling and simulation in medicine and the life sciences. 2nd ed. Zbl 1013.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 2002 Differential equations and dynamical systems. 3rd ed. Zbl 0973.34001 Perko, Lawrence 602 2001 Mathematical models in population biology and epidemiology. Zbl 0967.92015 Brauer, Fred; Castillo-Chávez, Carlos 533 2001 Theoretical numerical analysis. A functional analysis framework. Zbl 0966.65001 Atkinson, Kendall; Han, Weimin 78 2001 Geometric methods and applications. For computer science and engineering. Zbl 1031.53001 Gallier, Jean 18 2001 A course in robust control theory. Zbl 0939.93001 Dullerud, Geir E.; Paganini, Fernando 113 2000 Numerical mathematics. Zbl 0957.65001 Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto 96 2000 Partial differential equations. Analytical solution techniques. Zbl 0937.35001 Kevorkian, J. 42 2000 Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003 Marsden, Jerrold E.; Ratiu, Tudor S. 484 1999 Markov chains. Gibbs fields, Monte Carlo simulation, and queues. Zbl 0949.60009 BrĂ©maud, Pierre 216 1999 Ordinary differential equations with applications. Zbl 0937.34001 Chicone, Carmen 133 1999 Numerical partial differential equation. Conservation laws and elliptic equations. Zbl 0927.65109 Thomas, J. W. 52 1999 Fourier analysis and applications. Filtering, numerical computation, wavelets. Transl. from the French by R. Ryan. Zbl 0931.94001 Gasquet, Claude; Witomski, Patrick 49 1999 Mathematical control theory. Deterministic finite dimensional systems. 2nd ed. Zbl 0945.93001 Sontag, Eduardo D. 504 1998 Numerical methods for wave equations in geophysical fluid dynamics. Zbl 0918.76001 Durran, Dale R. 53 1998 Introductory functional analysis. With applications to boundary value problems and finite elements. Zbl 0893.46002 Reddy, B. Daya 21 1998 Introduction to partial differential equations: a computational approach. Zbl 0906.35001 Tveito, Aslak; Winther, Ragnar 16 1998 Introduction to perturbation methods. 2nd corrected printing. Zbl 0980.34052 Holmes, Mark H. 11 1998 Analytical and computational methods of advanced engineering mathematics. Zbl 0912.00002 Gustafson, Grant B.; Wilcox, Calvin H. 2 1998 Introduction to mathematical systems theory. A behavioral approach. Zbl 0940.93002 Polderman, Jan Willem; Willems, Jan C. 103 1997 Topology, geometry, and gauge fields: Foundations. Zbl 0876.53002 Naber, Gregory L. 9 1997 Partial differential equations. Basic theory. pbk-ed. Zbl 0869.35001 Taylor, Michael E. 308 1996 Differential equations and dynamical systems. 2nd ed. Zbl 0854.34001 Perko, Lawrence 247 1996 An introduction to partial differential equations. Corr. 2nd printing. Zbl 0917.35002 Renardy, Michael; Rogers, Robert C. 12 1996 Introduction to the theory of stability. Transl. from the Russian and ed. by Fred F. Afagh and Andrej L. Smirnov. Zbl 0859.34035 Merkin, David R. 9 1996 An introduction to infinite-dimensional linear systems theory. Zbl 0839.93001 Curtain, Ruth F.; Zwart, Hans 806 1995 Numerical partial differential equations: Finite difference methods. Zbl 0831.65087 Thomas, J. W. 271 1995 Introduction to perturbation methods. Zbl 0830.34001 Holmes, Mark H. 151 1995 Understanding nonlinear dynamics. Zbl 0823.34002 Kaplan, Daniel; Glass, Leon 50 1995 Differential equations: a dynamical systems approach. P. 2: Higher dimensional systems. Zbl 0824.34001 Hubbard, John H.; West, Beverly H. 22 1995 The mathematical theory of finite element methods. Zbl 0804.65101 Brenner, Susanne C.; Scott, L. Ridgway 1,065 1994 Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002 Marsden, Jerrold E.; Ratiu, Tudor S. 173 1994 Growth and diffusion phenomena. Mathematical frameworks and applications. Zbl 0788.92001 Banks, Robert B. 56 1994 Concurrent scientific computing. Zbl 0797.65001 Van de Velde, Eric 11 1994 Introduction to numerical analysis. Translated from the German by R. Bartels, W. Gautschi and C. Witzgall. 2. ed. Zbl 0771.65002 Stoer, J.; Bulirsch, R. 336 1993 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001 Chorin, Alexandre J.; Marsden, Jerrold E. 117 1993 Differential equations and their applications. An introduction to applied mathematics. Zbl 0771.34001 Braun, Martin 31 1993 Mathematics in medicine and the life sciences. Zbl 0744.92001 Hoppensteadt, Frank C.; Peskin, Charles S. 19 1992 Differential equations and dynamical systems. Zbl 0717.34001 Perko, Lawrence 368 1991 Dynamics and bifurcations. Zbl 0745.58002 Hale, Jack K.; Koçak, HĂĽseyin 249 1991 Hypergeometric functions and their applications. Zbl 0744.33001 Seaborn, James B. 46 1991 A course on integral equations. Zbl 0743.45002 Pipkin, Allen C. 29 1991 Introduction to applied nonlinear dynamical systems and chaos. Zbl 0701.58001 Wiggins, Stephen 831 1990 Mathematical control theory. Deterministic finite dimensional systems. Zbl 0703.93001 Sontag, Eduardo D. 150 1990 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 21,240 Authors 72 Brenner, Susanne Cecelia 71 Han, Weimin 67 Carstensen, Carsten 54 Sung, Li-Yeng 44 Huang, Jianguo 41 Yang, Xiaosong 39 Li, Jichun 39 Sontag, Eduardo D. 35 Rebholz, Leo G. 35 Yang, Yidu 34 Huang, Yunqing 34 Vabishchevich, PĂ«tr Nikolaevich 33 Pavliotis, Grigorios A. 33 Xu, Fei 32 BeirĂŁo da Veiga, Lourenço 31 Bi, Hai 30 Zwart, Hans J. 28 Antonietti, Paola Francesca 28 Chen, Shaochun 28 Din, Qamar 28 Larson, Mats G. 28 Neilan, Michael 28 Stuart, Andrew M. 27 Jing, Zhujun 27 Zhang, Zhimin 26 Dehghan Takht Fooladi, Mehdi 26 Gudi, Thirupathi 26 Manzini, Gianmarco 26 Nochetto, Ricardo Horacio 25 Feng, Xiaobing 25 Hesthaven, Jan S. 25 Xie, Hehu 24 Banerjee, Malay 24 Bartels, Sören 24 Huang, Xuehai 24 Mora, David 23 Gay-Balmaz, François 23 Holm, Darryl Dallas 23 Jang, Sophia R.-J. 23 Leiva, Hugo 23 Marsden, Jerrold Eldon 23 Martcheva, Maia 22 Bloch, Anthony Michael 22 Chan, Jesse 22 Chen, Guanrong 22 Cheng, Xiaoliang 22 Dawson, Clint N. 22 Gasull, Armengol 22 Huang, Jicai 22 Llibre, Jaume 22 Ruan, Shigui 22 Venturino, Ezio 22 Wiggins, Stephen R. 22 Yang, Qigui 22 Zhang, Shangyou 21 Jiang, Yaolin 21 Jin, Zhen 21 Shi, Dongyang 21 Sukavanam, Nagarajan 21 Valverde, Jose C. 20 Algaba, Antonio 20 Castillo-Chavez, Carlos 20 Deng, Weihua 20 Li, Hengguang 20 Mao, Shipeng 20 Ratiu, Tudor Stefan 20 Xu, Wei 19 Badia, Santiago 19 Colombo, Leonardo Jesus 19 Ern, Alexandre 19 Lamichhane, Bishnu Prasad 19 Li, Jibin 19 Scott, Larkin Ridgway 19 Yagasaki, Kazuyuki 19 Zhang, Weinian 18 Esen, OÄźul 18 Gatica, Gabriel N. 18 González-Olivares, Eduardo 18 González-Parra, Gilberto C. 18 Jameson, Antony 18 RodrĂguez-Luis, Alejandro J. 18 Schwab, Christoph 18 Yang, Suh-Yuh 17 Casas, Eduardo 17 Hu, Jun 17 KĂĽhn, Christian 17 MartĂn de Diego, David 17 Peterseim, Daniel 17 Quarteroni, Alfio M. 17 Rojas-Palma, Alejandro 17 Shen, Jianwei 17 Shu, Chi-Wang 17 Tripathi, Jai Prakash 17 Warburton, Timothy 17 Witherden, Freddie D. 17 Zhao, Jikun 16 Bacuta, Constantin 16 Burman, Erik 16 Chen, Yanping 16 Chowell, Gerardo ...and 21,140 more Authors all top 5 Cited in 922 Journals 451 Journal of Computational Physics 442 Journal of Computational and Applied Mathematics 396 Journal of Scientific Computing 394 Applied Mathematics and Computation 359 Computers & Mathematics with Applications 353 Computer Methods in Applied Mechanics and Engineering 259 Mathematics of Computation 252 Numerische Mathematik 237 Chaos, Solitons and Fractals 235 Automatica 219 Physica D 217 Applied Numerical Mathematics 210 Nonlinear Dynamics 207 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 199 SIAM Journal on Numerical Analysis 198 Journal of Mathematical Analysis and Applications 196 Journal of Differential Equations 187 Systems & Control Letters 184 SIAM Journal on Scientific Computing 161 Communications in Nonlinear Science and Numerical Simulation 143 Discrete and Continuous Dynamical Systems. 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Series A: Theory and Methods 77 International Journal of Computer Mathematics 77 Journal of Dynamics and Differential Equations 76 Computational and Applied Mathematics 75 Journal of Biological Dynamics 74 Computers and Fluids 70 Multiscale Modeling & Simulation 69 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 69 Computational Methods in Applied Mathematics 68 Journal of Difference Equations and Applications 68 Mathematical Problems in Engineering 67 Journal of Statistical Physics 67 BIT 66 Journal of Fluid Mechanics 66 Physica A 66 Qualitative Theory of Dynamical Systems 66 International Journal of Biomathematics 65 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 65 International Journal of Robust and Nonlinear Control 63 Abstract and Applied Analysis 62 Journal of Mathematical Physics 58 Physics Letters. A 58 Acta Applicandae Mathematicae 57 Mathematical and Computer Modelling 57 SIAM/ASA Journal on Uncertainty Quantification 55 Calcolo 54 Communications in Mathematical Physics 54 Journal of the Franklin Institute 54 Discrete and Continuous Dynamical Systems 54 Journal of Biological Systems 53 International Journal for Numerical Methods in Engineering 53 Journal of Optimization Theory and Applications 53 Journal of Applied Mathematics and Computing 51 European Journal of Control 51 Journal of Physics A: Mathematical and Theoretical 50 Journal of Geometry and Physics 50 Transactions of the American Mathematical Society 48 Nonlinearity 48 Discrete Dynamics in Nature and Society 48 Discrete and Continuous Dynamical Systems. Series S 46 Computer Physics Communications 46 Numerical Functional Analysis and Optimization 46 Japan Journal of Industrial and Applied Mathematics 45 SIAM Journal on Applied Mathematics 43 Journal of Applied Mathematics 42 Applicable Analysis 42 SIAM Journal on Mathematical Analysis 41 Communications in Computational Physics 41 Journal of Geometric Mechanics 40 Archive for Rational Mechanics and Analysis 40 Journal of Dynamical and Control Systems 40 Mathematical Control and Related Fields 39 Regular and Chaotic Dynamics 37 Differential Equations and Dynamical Systems 36 Stochastic Processes and their Applications 36 Communications on Pure and Applied Analysis 35 Foundations of Computational Mathematics ...and 822 more Journals all top 5 Cited in 63 Fields 6,012 Numerical analysis (65-XX) 4,203 Partial differential equations (35-XX) 3,002 Ordinary differential equations (34-XX) 2,903 Biology and other natural sciences (92-XX) 2,134 Dynamical systems and ergodic theory (37-XX) 2,113 Systems theory; control (93-XX) 1,954 Fluid mechanics (76-XX) 1,085 Mechanics of deformable solids (74-XX) 1,035 Probability theory and stochastic processes (60-XX) 883 Calculus of variations and optimal control; optimization (49-XX) 810 Mechanics of particles and systems (70-XX) 478 Operator theory (47-XX) 478 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 432 Statistical mechanics, structure of matter (82-XX) 420 Computer science (68-XX) 419 Statistics (62-XX) 376 Optics, electromagnetic theory (78-XX) 324 Operations research, mathematical programming (90-XX) 321 Difference and functional equations (39-XX) 300 Differential geometry (53-XX) 298 Approximations and expansions (41-XX) 275 Quantum theory (81-XX) 266 Integral equations (45-XX) 231 Global analysis, analysis on manifolds (58-XX) 223 Linear and multilinear algebra; matrix theory (15-XX) 214 Geophysics (86-XX) 198 Real functions (26-XX) 160 Information and communication theory, circuits (94-XX) 152 Functional analysis (46-XX) 152 Classical thermodynamics, heat transfer (80-XX) 151 Relativity and gravitational theory (83-XX) 91 Special functions (33-XX) 84 Combinatorics (05-XX) 84 Harmonic analysis on Euclidean spaces (42-XX) 58 Integral transforms, operational calculus (44-XX) 57 Functions of a complex variable (30-XX) 49 Topological groups, Lie groups (22-XX) 47 Potential theory (31-XX) 45 Mathematical logic and foundations (03-XX) 45 Astronomy and astrophysics (85-XX) 36 Algebraic geometry (14-XX) 36 General topology (54-XX) 30 Measure and integration (28-XX) 27 Commutative algebra (13-XX) 26 History and biography (01-XX) 26 Nonassociative rings and algebras (17-XX) 25 Several complex variables and analytic spaces (32-XX) 24 General and overarching topics; collections (00-XX) 24 Number theory (11-XX) 24 Manifolds and cell complexes (57-XX) 17 Geometry (51-XX) 16 Field theory and polynomials (12-XX) 16 Algebraic topology (55-XX) 11 Sequences, series, summability (40-XX) 11 Abstract harmonic analysis (43-XX) 10 Associative rings and algebras (16-XX) 10 Convex and discrete geometry (52-XX) 9 Group theory and generalizations (20-XX) 8 Category theory; homological algebra (18-XX) 8 Mathematics education (97-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) 1 General algebraic systems (08-XX) Citations by Year