# zbMATH — the first resource for mathematics

## Bornemann, Folkmar A.

Compute Distance To:
 Author ID: bornemann.folkmar-a Published as: Bornemann, F.; Bornemann, Folkmar; Bornemann, Folkmar A. External Links: MGP · Wikidata · GND
 Documents Indexed: 59 Publications since 1990, including 14 Books
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#### Co-Authors

 25 single-authored 6 Deuflhard, Peter 6 Schütte, Christof 3 Forrester, Peter J. 3 Laurie, Dirk P. 3 Wagon, Stan 3 Waldvogel, Jörg 3 Wechslberger, Georg 2 Erdmann, Bodo 2 Kornhuber, Ralf 1 Driscoll, Tobin A. 1 Ferrari, Patrik Lino 1 Its, Alexander Rudolfovich 1 La Croix, Michael A. 1 Lasser, Caroline 1 März, Tom 1 Mays, Anthony 1 Mendl, Christian B. 1 Olver, Sheehan Shakiban 1 Prahofer, Michael 1 Schemann, Martin 1 Schiela, Anton 1 Schmelzer, Thomas 1 Swart, Torben 1 Trefethen, Lloyd Nicholas 1 Witte, Nicholas S. 1 Xiang, Shuhuang 1 Yserentant, Harry
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#### Serials

 4 Numerische Mathematik 3 IMPACT of Computing in Science and Engineering 2 IMA Journal of Numerical Analysis 2 Journal of Statistical Physics 2 SIAM Journal on Numerical Analysis 2 Mathematik Kompakt 2 Springer Studium Mathematik – Bachelor 1 American Mathematical Monthly 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Nonlinearity 1 Mathematics of Computation 1 BIT 1 Gazette des Mathématiciens 1 International Journal for Numerical Methods in Engineering 1 Studies in Applied Mathematics 1 Physica D 1 Constructive Approximation 1 Forum Mathematicum 1 The Annals of Applied Probability 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Notices of the American Mathematical Society 1 Journal of Mathematical Imaging and Vision 1 Computing and Visualization in Science 1 Markov Processes and Related Fields 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Foundations of Computational Mathematics 1 Selçuk Journal of Applied Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Mathematics 1 Texts in Applied Mathematics 1 Random Matrices: Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications 1 Springer Undergraduate Mathematics Series 1 De Gruyter Studium
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#### Fields

 34 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Partial differential equations (35-XX) 9 Probability theory and stochastic processes (60-XX) 8 Computer science (68-XX) 8 Quantum theory (81-XX) 6 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

43 Publications have been cited 597 times in 508 Documents Cited by Year
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar
2002
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter
1996
A posteriori error estimates for elliptic problems in two and three space dimensions. Zbl 0863.65069
Bornemann, Folkmar A.; Erdmann, Bodo; Kornhuber, Ralf
1996
On the numerical evaluation of Fredholm determinants. Zbl 1208.65182
Bornemann, Folkmar
2010
The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. Zbl 1060.65002
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg
2004
On the numerical evaluation of distributions in random matrix theory: a review. Zbl 1222.60013
Bornemann, F.
2010
Homogenization in time of singularly perturbed mechanical systems. Zbl 0902.34051
Bornemann, Folkmar
1998
A basic norm equivalence for the theory of multilevel methods. Zbl 0796.65135
Bornemann, Folkmar; Yserentant, Harry
1993
Adaptive multilevel methods in three space dimensions. Zbl 0780.73073
Bornemann, Folkmar; Erdmann, Bodo; Kornhuber, Ralf
1993
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
2008
On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity. Zbl 1259.65059
Xiang, Shuhuang; Bornemann, Folkmar
2012
Accuracy and stability of computing high-order derivatives of analytic functions by Cauchy integrals. Zbl 1213.65039
Bornemann, Folkmar
2011
The $$\text{Airy}_{1}$$ process is not the limit of the largest eigenvalue in GOE matrix diffusion. Zbl 1161.82340
Bornemann, Folkmar; Ferrari, Patrik L.; Prähofer, Michael
2008
Numerical mathematics. II: Integration of ordinary differential equations. Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar
1994
An adaptive multilevel approach to parabolic equations. III: 2D error estimation and multilevel preconditioning. Zbl 0745.65055
Bornemann, Folkmar A.
1992
Homogenization of Hamiltonian systems with a strong constraining potential. Zbl 0896.70010
Bornemann, Folkmar A.; Schütte, Christof
1997
An adaptive multilevel approach to parabolic equations. II: Variable- order time discretization based on a multiplicative error correction. Zbl 0735.65066
Bornemann, Folkmar A.
1991
An adaptive multilevel approach to parabolic equations. I: General theory and 1D implementation. Zbl 0722.65055
Bornemann, Folkmar A.
1990
Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. Zbl 1283.15114
Witte, N. S.; Bornemann, F.; Forrester, P. J.
2013
An adaptive Rothe method for the wave equation. Zbl 0915.65105
Schemann, Martin; Bornemann, Folkmar A.
1998
On the scaling limits of determinantal point processes with kernels induced by Sturm-Liouville operators. Zbl 1347.15041
Bornemann, Folkmar
2016
The singular values of the GOE. Zbl 1348.15022
Bornemann, Folkmar; La Croix, Michael
2015
Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros. Zbl 1368.81080
Bornemann, Folkmar; Forrester, Peter J.; Mays, Anthony
2017
Asymptotic independence of the extreme eigenvalues of Gaussian unitary ensemble. Zbl 1309.15052
Bornemann, Folkmar
2010
Fast image inpainting based on coherence transport. Zbl 1451.94007
Bornemann, Folkmar; März, Tom
2007
Singular values and evenness symmetry in random matrix theory. Zbl 1347.15042
Bornemann, Folkmar; Forrester, Peter J.
2016
A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge. Zbl 1345.60011
Bornemann, Folkmar
2016
Optimal contours for high-order derivatives. Zbl 1266.65042
Bornemann, Folkmar; Wechslberger, Georg
2013
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. Zbl 1167.65303
Deuflhard, Peter; Bornemann, Folkmar
2008
On the singular limit of the quantum-classical molecular dynamics model. Zbl 0926.34073
Bornemann, Folkmar A.; Schütte, Christof
1999
Automatic deformation of Riemann-Hilbert problems with applications to the Painlevé II transcendents. Zbl 1306.65297
Wechslberger, Georg; Bornemann, Folkmar
2014
Homogenization approach to smoothed molecular dynamics. Zbl 0920.70018
Schütte, Christof; Bornemann, Folkmar A.
1997
The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake. Zbl 1341.65001
Bornemann, Folkmar
2016
Sparsing in real time simulation. Zbl 1032.65089
Schiela, Anton; Bornemann, Folkmar
2003
Numerical mathematics. 2: Ordinary differential equations. 2., vollst. überarb. u. erweit. Aufl. Zbl 1004.65074
Deuflhard, Peter; Bornemann, Folkmar
2002
Interpolation spaces and optimal multilevel preconditioners. Zbl 0818.65107
Bornemann, Folkmar A.
1994
Numerical linear algebra. A concise introduction with MATLAB and Julia. Zbl 1362.65030
Bornemann, Folkmar
2016
Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar
2013
A model for understanding numerical stability. Zbl 1114.65041
Bornemann, Folkmar
2007
The SIAM 100-Digit Challenge: a study in high-accuracy numerical computing. With Foreword by David H. Bailey. Translated from the English. Zbl 1158.65001
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg
2006
Norms for the characterisation of weak*-convergence of bounded sequences. Zbl 1032.46010
Bornemann, Folkmar
2001
Approximation properties and limits of the quantum-classical molecular dynamics model. Zbl 0966.81063
Schütte, Christof; Bornemann, Folkmar A.
1999
A mathematical investigation of the Car-Parrinello method. Zbl 0887.34026
Bornemann, Folkmar A.; Schütte, Christof
1998
Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros. Zbl 1368.81080
Bornemann, Folkmar; Forrester, Peter J.; Mays, Anthony
2017
On the scaling limits of determinantal point processes with kernels induced by Sturm-Liouville operators. Zbl 1347.15041
Bornemann, Folkmar
2016
Singular values and evenness symmetry in random matrix theory. Zbl 1347.15042
Bornemann, Folkmar; Forrester, Peter J.
2016
A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge. Zbl 1345.60011
Bornemann, Folkmar
2016
The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake. Zbl 1341.65001
Bornemann, Folkmar
2016
Numerical linear algebra. A concise introduction with MATLAB and Julia. Zbl 1362.65030
Bornemann, Folkmar
2016
The singular values of the GOE. Zbl 1348.15022
Bornemann, Folkmar; La Croix, Michael
2015
Automatic deformation of Riemann-Hilbert problems with applications to the Painlevé II transcendents. Zbl 1306.65297
Wechslberger, Georg; Bornemann, Folkmar
2014
Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. Zbl 1283.15114
Witte, N. S.; Bornemann, F.; Forrester, P. J.
2013
Optimal contours for high-order derivatives. Zbl 1266.65042
Bornemann, Folkmar; Wechslberger, Georg
2013
Numerical mathematics 2. Ordinary differential equations. 4th revised and augmented ed. Zbl 1273.65001
Deuflhard, Peter; Bornemann, Folkmar
2013
On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity. Zbl 1259.65059
Xiang, Shuhuang; Bornemann, Folkmar
2012
Accuracy and stability of computing high-order derivatives of analytic functions by Cauchy integrals. Zbl 1213.65039
Bornemann, Folkmar
2011
On the numerical evaluation of Fredholm determinants. Zbl 1208.65182
Bornemann, Folkmar
2010
On the numerical evaluation of distributions in random matrix theory: a review. Zbl 1222.60013
Bornemann, F.
2010
Asymptotic independence of the extreme eigenvalues of Gaussian unitary ensemble. Zbl 1309.15052
Bornemann, Folkmar
2010
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
2008
The $$\text{Airy}_{1}$$ process is not the limit of the largest eigenvalue in GOE matrix diffusion. Zbl 1161.82340
Bornemann, Folkmar; Ferrari, Patrik L.; Prähofer, Michael
2008
Numerical mathematics 2. Ordinary differential equations. 3rd revised ed. Zbl 1167.65303
Deuflhard, Peter; Bornemann, Folkmar
2008
Fast image inpainting based on coherence transport. Zbl 1451.94007
Bornemann, Folkmar; März, Tom
2007
A model for understanding numerical stability. Zbl 1114.65041
Bornemann, Folkmar
2007
The SIAM 100-Digit Challenge: a study in high-accuracy numerical computing. With Foreword by David H. Bailey. Translated from the English. Zbl 1158.65001
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg
2006
The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. Zbl 1060.65002
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg
2004
Sparsing in real time simulation. Zbl 1032.65089
Schiela, Anton; Bornemann, Folkmar
2003
Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. Zbl 1001.65071
Deuflhard, Peter; Bornemann, Folkmar
2002
Numerical mathematics. 2: Ordinary differential equations. 2., vollst. überarb. u. erweit. Aufl. Zbl 1004.65074
Deuflhard, Peter; Bornemann, Folkmar
2002
Norms for the characterisation of weak*-convergence of bounded sequences. Zbl 1032.46010
Bornemann, Folkmar
2001
On the singular limit of the quantum-classical molecular dynamics model. Zbl 0926.34073
Bornemann, Folkmar A.; Schütte, Christof
1999
Approximation properties and limits of the quantum-classical molecular dynamics model. Zbl 0966.81063
Schütte, Christof; Bornemann, Folkmar A.
1999
Homogenization in time of singularly perturbed mechanical systems. Zbl 0902.34051
Bornemann, Folkmar
1998
An adaptive Rothe method for the wave equation. Zbl 0915.65105
Schemann, Martin; Bornemann, Folkmar A.
1998
A mathematical investigation of the Car-Parrinello method. Zbl 0887.34026
Bornemann, Folkmar A.; Schütte, Christof
1998
Homogenization of Hamiltonian systems with a strong constraining potential. Zbl 0896.70010
Bornemann, Folkmar A.; Schütte, Christof
1997
Homogenization approach to smoothed molecular dynamics. Zbl 0920.70018
Schütte, Christof; Bornemann, Folkmar A.
1997
The cascadic multigrid method for elliptic problems. Zbl 0873.65107
Bornemann, Folkmar A.; Deuflhard, Peter
1996
A posteriori error estimates for elliptic problems in two and three space dimensions. Zbl 0863.65069
Bornemann, Folkmar A.; Erdmann, Bodo; Kornhuber, Ralf
1996
Numerical mathematics. II: Integration of ordinary differential equations. Zbl 0856.65080
Deuflhard, Peter; Bornemann, Folkmar
1994
Interpolation spaces and optimal multilevel preconditioners. Zbl 0818.65107
Bornemann, Folkmar A.
1994
A basic norm equivalence for the theory of multilevel methods. Zbl 0796.65135
Bornemann, Folkmar; Yserentant, Harry
1993
Adaptive multilevel methods in three space dimensions. Zbl 0780.73073
Bornemann, Folkmar; Erdmann, Bodo; Kornhuber, Ralf
1993
An adaptive multilevel approach to parabolic equations. III: 2D error estimation and multilevel preconditioning. Zbl 0745.65055
Bornemann, Folkmar A.
1992
An adaptive multilevel approach to parabolic equations. II: Variable- order time discretization based on a multiplicative error correction. Zbl 0735.65066
Bornemann, Folkmar A.
1991
An adaptive multilevel approach to parabolic equations. I: General theory and 1D implementation. Zbl 0722.65055
Bornemann, Folkmar A.
1990
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#### Cited by 848 Authors

 11 Bornemann, Folkmar A. 10 Forrester, Peter J. 7 Lang, Jens 7 Olver, Sheehan Shakiban 6 Ferrari, Patrik Lino 6 Kornhuber, Ralf 6 Quastel, Jeremy 6 Remenik, Daniel 5 Christlieb, Andrew J. 5 Dahlke, Stephan 5 Hu, Hongling 5 Huang, Qiumei 5 Kloeden, Peter Eris 5 Schehr, Grégory 5 Senosiain, M. J. 5 Spohn, Herbert 5 Stevenson, Rob P. 5 Tocino, Alicia 5 Weiser, Martin 5 Xiang, Shuhuang 5 Zou, Qingsong 4 Bacuta, Constantin 4 Deuflhard, Peter 4 Grava, Tamara 4 Griebel, Michael 4 Hoppe, Ronald H. W. 4 Le Doussal, Pierre 4 Nochetto, Ricardo Horacio 4 Ovall, Jeffrey S. 4 Pan, Kejia 4 Petrov, Leonid 4 Praetorius, Dirk 4 Rumpf, Martin 4 Safouhi, Hassan 4 Stephan, Ernst Peter 4 Trefethen, Lloyd Nicholas 4 Wohlmuth, Barbara I. 4 Xu, Fei 3 Ainsworth, Mark 3 Baik, Jinho 3 Bertola, Marco 3 Borodin, Alexei 3 Bothner, Thomas 3 Chen, Chuanmiao 3 Corwin, Ivan 3 Dahmen, Wolfgang A. 3 Edelman, Alan Stuart 3 Fröhlich, Jochen 3 Gräser, Carsten 3 Guo, Wei 3 He, Dongdong 3 Hiptmair, Ralf 3 Its, Alexander Rudolfovich 3 Jentzen, Arnulf 3 Jou, Jang 3 Klapproth, Corinna 3 Klasky, Scott 3 Klein, Christian 3 Krajenbrink, Alexandre 3 Le Bris, Claude 3 Li, Chenliang 3 Raasch, Thorsten 3 Reich, Sebastian 3 Rybkin, Alexei 3 Sasamoto, Tomohiro 3 Sauter, Stefan A. 3 Schiela, Anton 3 Shi, Zhongci 3 Slevinsky, Richard Mikaël 3 Sun, Shuyu 3 Townsend, Alex 3 Trogdon, Thomas 3 Tuğluk, Ozan 3 Wang, Cheng 3 Wheeler, Mary Fanett 3 Whitney, Ben 3 Yu, Haixiong 3 Zeng, Jinping 3 Zhang, Lun 2 Acharya, Amit 2 Arias, Pablo 2 Arnold, Martin 2 Avron, Joseph E. 2 Bank, Randolph E. 2 Bänsch, Eberhard 2 Bardenet, Rémi 2 Barnett, Alex H. 2 Basor, Estelle L. 2 Blum, Heribert 2 Brezina, Marian 2 Buckingham, Robert J. 2 Canuto, Claudio 2 Caputo, Pietro 2 Caselles Costa, Vicent 2 Cioica, Petru A. 2 De Nardis, Jacopo 2 Deift, Percy A. 2 Densmore, Jeffery D. 2 Dhar, Abhishek 2 Döhring, Nicolas ...and 748 more Authors
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#### Cited in 156 Serials

 28 Applied Numerical Mathematics 26 Journal of Computational and Applied Mathematics 25 Numerische Mathematik 18 Journal of Statistical Physics 16 Journal of Computational Physics 16 Numerical Algorithms 15 Mathematics of Computation 14 Computers & Mathematics with Applications 13 Applied Mathematics and Computation 13 Journal of Scientific Computing 11 Communications in Mathematical Physics 11 Computer Methods in Applied Mechanics and Engineering 11 SIAM Journal on Scientific Computing 9 SIAM Journal on Numerical Analysis 9 Physica D 8 Computing 7 Journal of Statistical Mechanics: Theory and Experiment 7 Random Matrices: Theory and Applications 6 Numerical Linear Algebra with Applications 5 Journal of Mathematical Physics 5 Nuclear Physics. B 5 Constructive Approximation 5 Science in China. Series A 5 Advances in Computational Mathematics 5 Foundations of Computational Mathematics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 BIT 4 Numerical Functional Analysis and Optimization 4 Numerical Methods for Partial Differential Equations 4 The Annals of Applied Probability 4 International Journal of Computer Vision 4 Multibody System Dynamics 4 Multiscale Modeling & Simulation 3 Journal of Mathematical Analysis and Applications 3 The Annals of Probability 3 Journal of Multivariate Analysis 3 Probability Theory and Related Fields 3 Applications of Mathematics 3 Engineering Analysis with Boundary Elements 3 Electronic Journal of Probability 3 Computing and Visualization in Science 3 Optimization Methods & Software 3 Computational Methods in Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Physics A: Mathematical and Theoretical 3 Statistics and Computing 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Nonlinearity 2 Transport Theory and Statistical Physics 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Studies in Applied Mathematics 2 Journal of Complexity 2 Applied Mathematics Letters 2 Journal of Global Optimization 2 Linear Algebra and its Applications 2 Celestial Mechanics and Dynamical Astronomy 2 Communications in Nonlinear Science and Numerical Simulation 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Moscow University Mechanics Bulletin 1 Psychometrika 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Fuzzy Sets and Systems 1 Geometriae Dedicata 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Moscow University Computational Mathematics and Cybernetics 1 Stochastic Analysis and Applications 1 Computer Aided Geometric Design 1 Optimization 1 Computational Mechanics 1 Journal of Economic Dynamics & Control 1 Journal of Theoretical Probability 1 Queueing Systems 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences ...and 56 more Serials
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#### Cited in 41 Fields

 317 Numerical analysis (65-XX) 146 Partial differential equations (35-XX) 86 Probability theory and stochastic processes (60-XX) 64 Statistical mechanics, structure of matter (82-XX) 48 Ordinary differential equations (34-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 36 Fluid mechanics (76-XX) 31 Special functions (33-XX) 28 Mechanics of deformable solids (74-XX) 25 Mechanics of particles and systems (70-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 23 Approximations and expansions (41-XX) 23 Quantum theory (81-XX) 21 Dynamical systems and ergodic theory (37-XX) 18 Biology and other natural sciences (92-XX) 17 Operator theory (47-XX) 16 Computer science (68-XX) 15 Integral equations (45-XX) 15 Statistics (62-XX) 13 Optics, electromagnetic theory (78-XX) 11 Functions of a complex variable (30-XX) 9 Operations research, mathematical programming (90-XX) 8 Number theory (11-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 4 History and biography (01-XX) 4 Sequences, series, summability (40-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

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