## Mardal, Kent-Andre

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 Author ID: mardal.kent-andre Published as: Mardal, Kent-Andre; Mardal, Kent-André; Mardal, K.-A.; Mardal, Kent Andre more...less External Links: MGP · ORCID
 Documents Indexed: 43 Publications since 2002, including 3 Books 2 Contributions as Editor Co-Authors: 40 Co-Authors with 45 Joint Publications 831 Co-Co-Authors
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### Co-Authors

 0 single-authored 13 Kuchta, Miroslav 9 Winther, Ragnar 7 Nielsen, Bjørn Fredrik 7 Rognes, Marie E. 4 Lee, Jeonghun J. 4 Mortensen, Mikael 3 Boon, Wietse M. 3 Nilssen, Trygve K. 3 Piersanti, Eleonora 3 Thompson, Travis B. 3 Tveito, Aslak 2 Bærland, Trygve 2 Cai, Xing 2 Holter, Karl Erik 2 Langtangen, Hans Petter 2 Nordaas, Magne 2 Ruiz-Baier, Ricardo 2 Schreiner, Jakob E. 2 Staff, Gunnar Andreas 1 Alnæs, Martin Sandve 1 Buccino, Alessio Paolo 1 Burger, Martin 1 Erhardt, André 1 Gergelits, Tomáš 1 Hornkjøl, Martin 1 Jain, Kartik 1 Koch, Timo 1 Landet, Tormod 1 Laurino, Federica 1 Lines, Glenn Terje 1 Logg, Anders 1 Roller, Sabine 1 Schöberl, Joachim 1 Strakoš, Zdeněk 1 Sundnes, Joakim 1 Tai, Xuecheng 1 Valnes, Lars Magnus 1 Verschaeve, Joris C. G. 1 Wells, Garth N. 1 Zunino, Paolo
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### Serials

 9 SIAM Journal on Scientific Computing 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 Numerical Linear Algebra with Applications 2 Computers and Fluids 2 BIT 2 Simula SpringerBriefs on Computing 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Computational Physics 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 SIAM Journal on Control and Optimization 1 Journal of Computational Neuroscience 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 Lecture Notes in Computational Science and Engineering 1 Texts in Computational Science and Engineering 1 Monographs in Computational Science and Engineering
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### Fields

 35 Numerical analysis (65-XX) 20 Partial differential equations (35-XX) 13 Biology and other natural sciences (92-XX) 10 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 1,012 times in 843 Documents Cited by Year
Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105
2012
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
2011
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
2002
Computing the electrical activity in the heart. Zbl 1182.92020
Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak
2006
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
2009
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
2004
A mixed finite element method for nearly incompressible multiple-network poroelasticity. Zbl 1417.65162
Lee, J. J.; Piersanti, E.; Mardal, K.-A.; Rognes, M. E.
2019
Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071
Mardal, K.-A.; Nilssen, T. K.; Staff, G. A.
2007
An order optimal solver for the discretized bidomain equations. Zbl 1199.65111
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak
2007
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. Zbl 1352.65099
Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre
2016
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
2017
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
2006
Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre
2019
Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. Zbl 07100344
Gergelits, Tomáš; Mardal, Kent-André; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk
2019
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
2013
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
2006
On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375
Alnæs, Martin Sandve; Mardal, Kent-André
2010
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628
Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo
2021
Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
2013
On the singular Neumann problem in linear elasticity. Zbl 07031712
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
2019
Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345
Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik
2010
Efficient preconditioners for optimality systems arising in connection with inverse problems. Zbl 1208.49047
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
2010
Preconditioning trace coupled $$3d-1d$$ systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
2019
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
2021
Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations. Zbl 1232.65128
Nilssen, Trygve K.; Staff, Gunnar A.; Mardal, Kent-Andre
2011
Sub-voxel perfusion modeling in terms of coupled $$3d$$-$$1d$$ problem. Zbl 1427.65167
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André
2018
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study. Zbl 1451.92070
Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E.
2020
Introduction to numerical methods for variational problems. Zbl 1432.49001
Langtangen, Hans Petter; Mardal, Kent-Andre
2019
Modeling excitable tissue. The EMI framework. Zbl 1467.92008
2021
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Zbl 07351746
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre
2021
Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 1486.65174
Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E.
2021
Transitional flow in intracranial aneurysms – a space and time refinement study below the Kolmogorov scales using lattice Boltzmann method. Zbl 1390.76939
Jain, Kartik; Roller, Sabine; Mardal, Kent-André
2016
Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver. Zbl 07132269
Landet, Tormod; Mardal, Kent-Andre; Mortensen, Mikael
2020
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628
Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo
2021
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
2021
Modeling excitable tissue. The EMI framework. Zbl 1467.92008
2021
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Zbl 07351746
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre
2021
Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 1486.65174
Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E.
2021
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study. Zbl 1451.92070
Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E.
2020
Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver. Zbl 07132269
Landet, Tormod; Mardal, Kent-Andre; Mortensen, Mikael
2020
A mixed finite element method for nearly incompressible multiple-network poroelasticity. Zbl 1417.65162
Lee, J. J.; Piersanti, E.; Mardal, K.-A.; Rognes, M. E.
2019
Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre
2019
Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. Zbl 07100344
Gergelits, Tomáš; Mardal, Kent-André; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk
2019
On the singular Neumann problem in linear elasticity. Zbl 07031712
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
2019
Preconditioning trace coupled $$3d-1d$$ systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
2019
Introduction to numerical methods for variational problems. Zbl 1432.49001
Langtangen, Hans Petter; Mardal, Kent-Andre
2019
Sub-voxel perfusion modeling in terms of coupled $$3d$$-$$1d$$ problem. Zbl 1427.65167
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André
2018
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
2017
Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. Zbl 1352.65099
Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre
2016
Transitional flow in intracranial aneurysms – a space and time refinement study below the Kolmogorov scales using lattice Boltzmann method. Zbl 1390.76939
Jain, Kartik; Roller, Sabine; Mardal, Kent-André
2016
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
2013
Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
2013
Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105
2012
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
2011
Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations. Zbl 1232.65128
Nilssen, Trygve K.; Staff, Gunnar A.; Mardal, Kent-Andre
2011
On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375
Alnæs, Martin Sandve; Mardal, Kent-André
2010
Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345
Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik
2010
Efficient preconditioners for optimality systems arising in connection with inverse problems. Zbl 1208.49047
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
2010
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
2009
Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071
Mardal, K.-A.; Nilssen, T. K.; Staff, G. A.
2007
An order optimal solver for the discretized bidomain equations. Zbl 1199.65111
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak
2007
Computing the electrical activity in the heart. Zbl 1182.92020
Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak
2006
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
2006
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
2006
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
2004
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
2002
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### Cited by 1,423 Authors

 28 Mardal, Kent-Andre 20 Vasilyeva, Maria V. 18 Ruiz-Baier, Ricardo 17 Chung, Tsz Shun Eric 16 Nordbotten, Jan Martin 13 Hu, Xiaozhe 13 Kuchta, Miroslav 11 Rognes, Marie E. 10 Gatica, Gabriel N. 10 He, Xiaoming 10 Herzog, Roland 10 Winther, Ragnar 9 Nielsen, Bjørn Fredrik 9 Quarteroni, Alfio M. 9 Rozza, Gianluigi 9 Scacchi, Simone 9 Vabishchevich, Pëtr Nikolaevich 9 Zikatanov, Ludmil T. 8 Boon, Wietse M. 8 Brenner, Susanne Cecelia 8 Castelletto, Nicola 8 Efendiev, Yalchin R. 8 Gao, Huadong 8 Kunisch, Karl 8 Yotov, Ivan 7 Adler, James H. 7 Ballarin, Francesco 7 Bendahmane, Mostafa 7 Burman, Erik 7 Chen, Long 7 Farrell, Patrick E. 7 Kahle, Christian 7 Kirby, Robert C. 7 Kumar, Kundan 7 Lee, Jeonghun J. 7 Li, Jian 7 Neilan, Michael 7 Oyarzúa, Ricardo 7 Radu, Florin Adrian 7 Tveito, Aslak 7 van Bockstal, Karel 7 Xu, Jinchao 7 Zampini, Stefano 7 Zunino, Paolo 6 Ghattas, Omar N. 6 Rui, Hongxing 6 Spiteri, Raymond J. 6 Strakoš, Zdeněk 6 Wohlmuth, Barbara I. 6 Yousept, Irwin 6 Zhou, Guanyu 5 Abali, Bilen Emek 5 Axelsson, Axel Owe Holger 5 Chen, Shaochun 5 Chen, Zhangxin 5 Ferronato, Massimiliano 5 Hansbo, Peter 5 Kashiwabara, Takahito 5 Kraus, Johannes K. 5 Li, Jichun 5 Meddahi, Salim 5 Merdon, Christian 5 Mitchell, Lawrence 5 Mora, David 5 Oikawa, Issei 5 Olshanskii, Maxim A. 5 Schöberl, Joachim 5 Sun, Weiwei 5 Tuikina, S. R. 5 Villa, Umberto E. 4 Ahmed, Elyes 4 Alekseev, Valentin 4 Arnold, Douglas Norman 4 Burrage, Clare 4 Collin, Annabelle 4 Gaspar, Francisco José 4 Gerbeau, Jean-Frédéric 4 Gergelits, Tomáš 4 Gjerde, Ingeborg G. 4 Gómez-Vargas, Bryan 4 Gunzburger, Max D. 4 Hong, Qingguo 4 Hu, Kaibo 4 Khan, Arbaz 4 Knudsen, Kim M. 4 Kumar, Sarvesh 4 Lamichhane, Bishnu Prasad 4 Laurino, Federica 4 Linke, Alexander 4 Lymbery, Maria 4 Mao, Shipeng 4 Marquez-Duran, Antonio M. 4 Massing, André 4 Meng, Zhaoliang 4 Pavarino, Luca Franco 4 Pavel’chak, I. A. 4 Pultarová, Ivana 4 Repin, Sergeĭ Igorevich 4 Rodrigo, Carmen 4 Schneier, Michael ...and 1,323 more Authors
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### Cited in 147 Serials

 91 SIAM Journal on Scientific Computing 59 Computer Methods in Applied Mechanics and Engineering 45 Journal of Computational Physics 38 Computers & Mathematics with Applications 37 Journal of Scientific Computing 33 Journal of Computational and Applied Mathematics 31 SIAM Journal on Numerical Analysis 26 Numerische Mathematik 20 Computational Geosciences 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Mathematics of Computation 16 Numerical Algorithms 13 Applied Numerical Mathematics 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Advances in Computational Mathematics 12 Inverse Problems 12 Journal of Fluid Mechanics 10 BIT 10 Numerical Methods for Partial Differential Equations 9 Applied Mathematics and Computation 9 Calcolo 8 Computational Mechanics 8 SIAM Journal on Applied Mathematics 8 SIAM/ASA Journal on Uncertainty Quantification 7 Mathematical Methods in the Applied Sciences 7 International Journal for Numerical Methods in Engineering 7 Computational Mathematics and Modeling 7 Applied Mathematical Modelling 6 Mathematics and Computers in Simulation 6 Computational Optimization and Applications 6 Communications in Computational Physics 6 GEM - International Journal on Geomathematics 5 Computers and Fluids 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Cosmology and Astroparticle Physics 4 Mathematical Biosciences 4 Journal of Elasticity 4 ETNA. Electronic Transactions on Numerical Analysis 4 Computational Methods in Applied Mathematics 4 SIAM Journal on Imaging Sciences 3 Acta Mechanica 3 Journal of Engineering Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Optimization 3 Acta Applicandae Mathematicae 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Optimization 3 Journal of Mathematical Imaging and Vision 3 Numerical Linear Algebra with Applications 3 Optimization and Engineering 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Multiscale Modeling & Simulation 3 Inverse Problems in Science and Engineering 3 Advances in Applied Mathematics and Mechanics 3 International Journal of Advances in Engineering Sciences and Applied Mathematics 3 SMAI Journal of Computational Mathematics 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 International Journal of Engineering Science 2 Journal of Mathematical Analysis and Applications 2 ACM Transactions on Mathematical Software 2 Moscow University Computational Mathematics and Cybernetics 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 Computational and Applied Mathematics 2 Journal of Computational Neuroscience 2 Engineering Analysis with Boundary Elements 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 European Journal of Mechanics. A. Solids 2 Advances in Difference Equations 2 International Journal of Numerical Analysis and Modeling 2 Computational & Mathematical Methods in Medicine 2 Advances in Numerical Analysis 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 AIMS Mathematics 2 Communications on Applied Mathematics and Computation 2 Electronic Research Archive 2 Results in Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of the Mechanics and Physics of Solids 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Applied Mathematics Letters 1 Asymptotic Analysis ...and 47 more Serials
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### Cited in 40 Fields

 629 Numerical analysis (65-XX) 335 Fluid mechanics (76-XX) 302 Partial differential equations (35-XX) 163 Mechanics of deformable solids (74-XX) 109 Biology and other natural sciences (92-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 46 Optics, electromagnetic theory (78-XX) 31 Computer science (68-XX) 23 Geophysics (86-XX) 16 Statistics (62-XX) 15 Probability theory and stochastic processes (60-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Information and communication theory, circuits (94-XX) 6 Operator theory (47-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Relativity and gravitational theory (83-XX) 4 Real functions (26-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX)