Edit Profile (opens in new tab) Mardal, Kent-Andre Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 384 2012 Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246Mardal, Kent-Andre; Winther, Ragnar 113 2011 A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar 107 2002 Computing the electrical activity in the heart. Zbl 1182.92020Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak 74 2006 Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar 60 2009 Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar 55 2017 Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101Mardal, Kent-Andre; Winther, Ragnar 32 2004 A mixed finite element method for nearly incompressible multiple-network poroelasticity. Zbl 1417.65162Lee, J. J.; Piersanti, E.; Mardal, K.-A.; Rognes, M. E. 17 2019 Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071Mardal, K.-A.; Nilssen, T. K.; Staff, G. A. 15 2007 An order optimal solver for the discretized bidomain equations. Zbl 1199.65111Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak 14 2007 Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar 14 2017 Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. Zbl 1352.65099Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre 12 2016 Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne 12 2017 An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112Mardal, Kent-Andre; Winther, Ragnar 12 2006 Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre 11 2019 Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. Zbl 07100344Gergelits, Tomáš; Mardal, Kent-André; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk 9 2019 A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar 8 2013 Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045Mardal, Kent-Andre; Winther, Ragnar 7 2006 On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375Alnæs, Martin Sandve; Mardal, Kent-André 6 2010 Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo 5 2021 Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038Nielsen, Bjørn Fredrik; Mardal, Kent-Andre 5 2013 On the singular Neumann problem in linear elasticity. Zbl 07031712Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael 5 2019 Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik 4 2010 Efficient preconditioners for optimality systems arising in connection with inverse problems. Zbl 1208.49047Nielsen, Bjørn Fredrik; Mardal, Kent-Andre 4 2010 Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael 4 2019 Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo 3 2021 Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B. 3 2021 Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations. Zbl 1232.65128Nilssen, Trygve K.; Staff, Gunnar A.; Mardal, Kent-Andre 3 2011 Sub-voxel perfusion modeling in terms of coupled \(3d\)-\(1d\) problem. Zbl 1427.65167Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André 3 2018 Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study. Zbl 1451.92070Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E. 3 2020 Introduction to numerical methods for variational problems. Zbl 1432.49001Langtangen, Hans Petter; Mardal, Kent-Andre 2 2019 Modeling excitable tissue. The EMI framework. Zbl 1467.92008 2 2021 Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Zbl 07351746Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre 1 2021 Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 1486.65174Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E. 1 2021 Transitional flow in intracranial aneurysms – a space and time refinement study below the Kolmogorov scales using lattice Boltzmann method. Zbl 1390.76939Jain, Kartik; Roller, Sabine; Mardal, Kent-André 1 2016 Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver. Zbl 07132269Landet, Tormod; Mardal, Kent-Andre; Mortensen, Mikael 1 2020 Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo 5 2021 Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo 3 2021 Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B. 3 2021 Modeling excitable tissue. The EMI framework. Zbl 1467.92008 2 2021 Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Zbl 07351746Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre 1 2021 Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 1486.65174Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E. 1 2021 Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study. Zbl 1451.92070Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E. 3 2020 Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver. Zbl 07132269Landet, Tormod; Mardal, Kent-Andre; Mortensen, Mikael 1 2020 A mixed finite element method for nearly incompressible multiple-network poroelasticity. Zbl 1417.65162Lee, J. J.; Piersanti, E.; Mardal, K.-A.; Rognes, M. E. 17 2019 Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre 11 2019 Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. Zbl 07100344Gergelits, Tomáš; Mardal, Kent-André; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk 9 2019 On the singular Neumann problem in linear elasticity. Zbl 07031712Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael 5 2019 Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael 4 2019 Introduction to numerical methods for variational problems. Zbl 1432.49001Langtangen, Hans Petter; Mardal, Kent-Andre 2 2019 Sub-voxel perfusion modeling in terms of coupled \(3d\)-\(1d\) problem. Zbl 1427.65167Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André 3 2018 Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar 55 2017 Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar 14 2017 Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne 12 2017 Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. Zbl 1352.65099Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre 12 2016 Transitional flow in intracranial aneurysms – a space and time refinement study below the Kolmogorov scales using lattice Boltzmann method. Zbl 1390.76939Jain, Kartik; Roller, Sabine; Mardal, Kent-André 1 2016 A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar 8 2013 Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038Nielsen, Bjørn Fredrik; Mardal, Kent-Andre 5 2013 Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105 384 2012 Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246Mardal, Kent-Andre; Winther, Ragnar 113 2011 Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations. Zbl 1232.65128Nilssen, Trygve K.; Staff, Gunnar A.; Mardal, Kent-Andre 3 2011 On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375Alnæs, Martin Sandve; Mardal, Kent-André 6 2010 Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik 4 2010 Efficient preconditioners for optimality systems arising in connection with inverse problems. Zbl 1208.49047Nielsen, Bjørn Fredrik; Mardal, Kent-Andre 4 2010 Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar 60 2009 Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071Mardal, K.-A.; Nilssen, T. K.; Staff, G. A. 15 2007 An order optimal solver for the discretized bidomain equations. Zbl 1199.65111Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak 14 2007 Computing the electrical activity in the heart. Zbl 1182.92020Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak 74 2006 An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112Mardal, Kent-Andre; Winther, Ragnar 12 2006 Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045Mardal, Kent-Andre; Winther, Ragnar 7 2006 Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101Mardal, Kent-Andre; Winther, Ragnar 32 2004 A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar 107 2002 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year