## Wanner, Gerhard

Compute Distance To:
 Author ID: wanner.gerhard Published as: Wanner, Gerhard; Wanner, G. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 79 Publications since 1965, including 19 Books 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 1 Review Co-Authors: 25 Co-Authors with 59 Joint Publications 604 Co-Co-Authors
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### Co-Authors

 23 single-authored 30 Hairer, Ernst 8 Nørsett, Syvert Paul 5 Gander, Martin Jakob 4 Lubich, Christian 2 Abdulle, Assyr 2 Butcher, John C. 2 Gottwald, B. A. 2 Henry, Philippe 2 Kastlunger, K. H. 2 Ostermann, Alexander 1 Blatter, Christian 1 Brezinski, Claude 1 Dell’Accio, Francesco 1 Gautschi, Walter 1 Gualtieri, Maria Italia 1 Jeltsch, Rolf 1 Kaps, Peter 1 Knapp, Hans Georg 1 Kwok, Felix 1 Lorentzen, Lisa 1 Lukarevski, Martin 1 Marinescu, Dan Ştefan 1 Mihai, Monea 1 Milovanović, Gradimir V. 1 Paunić, Đura 1 Rall, Louis B. 1 Reitberger, Heinrich 1 Sameh, Ahmed H. 1 Serra-Capizzano, Stefano 1 Sottas, Gabriel Pierre
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### Serials

 13 Elemente der Mathematik 9 Springer Series in Computational Mathematics 7 BIT. Nordisk Tidskrift for Informationsbehandling 6 Computing 5 Undergraduate Texts in Mathematics 4 BIT 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Acta Numerica 1 Monatshefte für Mathematik 1 Buletinul Institutului Politehnic din Iași. Secția I 1 L’Enseignement Mathématique. 2e Série 1 Pokroky Matematiky, Fyziky & Astronomie 1 SIAM Review 1 Contemporary Mathematicians 1 Springer-Lehrbuch
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### Fields

 54 Numerical analysis (65-XX) 24 Ordinary differential equations (34-XX) 20 History and biography (01-XX) 12 Geometry (51-XX) 6 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 6,084 times in 4,781 Documents Cited by Year
Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1993
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. 2nd rev. ed. Zbl 0859.65067
Hairer, Ernst; Wanner, Gerhard
1996
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Zbl 1094.65125
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2006
Solving ordinary differential equations II: Stiff and differential-algebraic problems. Zbl 0729.65051
Hairer, Ernst; Wanner, Gerhard
1991
Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1987
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Zbl 0994.65135
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2002
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. Reprint of the 1996 2nd revised ed. Zbl 1192.65097
Hairer, Ernst; Wanner, Gerhard
2010
Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
2010
Order stars and stability theorems. Zbl 0444.65039
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1978
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2003
On the Butcher group and general multi-value methods. Zbl 0293.65050
Hairer, Ernst; Wanner, Gerhard
1974
A theory for Nyström methods. Zbl 0307.65053
Hairer, Ernst; Wanner, Gerhard
1976
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Reprint of the second 2006 ed. Zbl 1228.65237
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2010
A study of Rosenbrock-type methods of high order. Zbl 0469.65047
Kaps, Peter; Wanner, Gerhard
1981
Stiff differential equations solved by Radau methods. Zbl 0945.65080
Hairer, Ernst; Wanner, Gerhard
1999
The real-pole sandwich for rational approximations and oscillation equations. Zbl 0413.65011
Nørsett, Syvert P.; Wanner, Gerhard
1979
Algebraically stable and implementable Runge-Kutta methods of high order. Zbl 0533.65041
Hairer, Ernst; Wanner, Gerhard
1981
Perturbed collocation and Runge-Kutta methods. Zbl 0471.65045
Nørsett, Syvert P.; Wanner, Gerhard
1981
Multistep-multistage-multiderivative methods for ordinary differential equations. Zbl 0271.65048
Hairer, Ernst; Wanner, Gerhard
1973
On Turan type implicit Runge-Kutta methods. Zbl 0258.65078
Kastlunger, K.; Wanner, Gerhard
1972
Order conditions for general two-step Runge-Kutta methods. Zbl 0890.65077
Hairer, Ernst; Wanner, Gerhard
1997
Runge Kutta processes with multiple nodes. Zbl 0234.65067
Kastlunger, K. H.; Wanner, Gerhard
1972
A reliable Rosenbrock integrator for stiff differential equations. Zbl 0451.65056
Gottwald, B. A.; Wanner, Gerhard
1981
Analysis by its history. Zbl 0842.26002
Hairer, E.; Wanner, G.
1995
A short proof on nonlinear A-stability. Zbl 0329.65048
Wanner, Gerhard
1976
Geometry by its history. Zbl 1288.51001
Ostermann, Alexander; Wanner, Gerhard
2012
From Euler, Ritz, and Galerkin to modern computing. Zbl 1263.01013
Gander, Martin J.; Wanner, Gerhard
2012
Runge-Kutta methods: Some historical notes. Zbl 0867.65038
Butcher, J. C.; Wanner, G.
1996
Runge-Kutta-methods with expansion in even powers of h. Zbl 0258.65076
Wanner, Gerhard
1973
Characterization of all $$A$$-stable methods of order $$2m-4$$. Zbl 0475.65043
Wanner, Gerhard
1980
On the instability of the BDF formulas. Zbl 0538.65051
Hairer, Ernst; Wanner, Gerhard
1983
The number of positive weights of a quadrature formula. Zbl 0491.41035
Sottas, G.; Wanner, Gerhard
1982
Analysis by its history. Corr. 4th printing. Zbl 1139.26001
Hairer, Ernst; Wanner, Gerhard
2008
Symplectic Runge-Kutta methods with real eigenvalues. Zbl 0807.65081
Hairer, E.; Wanner, G.
1994
On the choice of $$\gamma$$ for singly-implicit RK or Rosenbrock methods. Zbl 0426.65026
Wanner, Gerhard
1980
Characterization of non-linearly stable implicit Runge-Kutta methods. Zbl 0493.65036
Hairer, Ernst; Wanner, Gerhard
1982
On the integration of stiff differential equations. Zbl 0361.65071
Wanner, Gerhard
1977
On a generalization of a theorem of von Neumann. Zbl 0900.65238
Hairer, E.; Wanner, G.
1996
Order stars and stability. Zbl 0624.65061
Wanner, G.
1987
On the perturbation formulas of Gröbner and Alekseev. Zbl 0425.34068
Wanner, G.; Reitberger, H.
1973
When I-stability implies A-stability. Zbl 0444.65040
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1978
Integration of ordinary differential equations. Lie-series (with computational programs). Runge-Kutta-methods. (Integration gewöhnlicher Differentialgleichungen. Lie-Reihen (mit Programmen). Runge-Kutta-Methoden.) Zbl 0221.65116
Wanner, Gerhard
1969
Kepler, Newton and numerical analysis. Zbl 1247.70001
Wanner, G.
2010
Constrained optimization: from Lagrangian mechanics to optimal control and PDE constraints. Zbl 1320.49003
Gander, Martin J.; Kwok, Felix; Wanner, Gerhard
2014
A dynamic proof of Thébault’s theorem. Zbl 1192.51011
Ostermann, Alexander; Wanner, Gerhard
2010
Dahlquist’s classical papers on stability theory. Zbl 1112.65074
Wanner, G.
2006
Order stars and stiff integrators. Zbl 0988.65059
Hairer, Ernst; Wanner, Gerhard
2000
Exact BDF stability angles with Maple. Zbl 1451.65093
Gander, Martin J.; Wanner, Gerhard
2020
200 years of least squares method. Zbl 1003.01008
Abdulle, Assyr; Wanner, G.
2002
Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007
Gautschi, Walter
2014
Note on rectangles with vertices on prescribed circles. Zbl 1152.51006
Blatter, Christian; Wanner, Gerhard
2007
The Cramer-Castillon problem and Urquhart’s ‘most elementary’ theorem. Zbl 1151.51302
Wanner, Gerhard
2006
Elementary proofs of Morley’s theorem. (Elementare Beweise des Satzes von Morley.) Zbl 1075.51004
Wanner, Gerhard
2004
Eigenschaften von Stabilitätsbereichen. Zbl 0544.65059
Wanner, Gerhard
1984
When I-stability implies A-stability. Zbl 0432.34033
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1978
A reliable Rosenbrock integrator for stiff differential systems. Zbl 0449.65051
Gottwald, B. A.; Wanner, Gerhard
1981
Analysis by its history. Corr. 3rd printing. Zbl 0964.26002
Hairer, Ernst; Wanner, Gerhard
2000
Exact BDF stability angles with Maple. Zbl 1451.65093
Gander, Martin J.; Wanner, Gerhard
2020
Constrained optimization: from Lagrangian mechanics to optimal control and PDE constraints. Zbl 1320.49003
Gander, Martin J.; Kwok, Felix; Wanner, Gerhard
2014
Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007
Gautschi, Walter
2014
Geometry by its history. Zbl 1288.51001
Ostermann, Alexander; Wanner, Gerhard
2012
From Euler, Ritz, and Galerkin to modern computing. Zbl 1263.01013
Gander, Martin J.; Wanner, Gerhard
2012
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. Reprint of the 1996 2nd revised ed. Zbl 1192.65097
Hairer, Ernst; Wanner, Gerhard
2010
Solving ordinary differential equations. I: Nonstiff problems. 2nd revised ed., 3rd corrected printing. Zbl 1185.65115
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
2010
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Reprint of the second 2006 ed. Zbl 1228.65237
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2010
Kepler, Newton and numerical analysis. Zbl 1247.70001
Wanner, G.
2010
A dynamic proof of Thébault’s theorem. Zbl 1192.51011
Ostermann, Alexander; Wanner, Gerhard
2010
Analysis by its history. Corr. 4th printing. Zbl 1139.26001
Hairer, Ernst; Wanner, Gerhard
2008
Note on rectangles with vertices on prescribed circles. Zbl 1152.51006
Blatter, Christian; Wanner, Gerhard
2007
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. 2nd ed. Zbl 1094.65125
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2006
Dahlquist’s classical papers on stability theory. Zbl 1112.65074
Wanner, G.
2006
The Cramer-Castillon problem and Urquhart’s ‘most elementary’ theorem. Zbl 1151.51302
Wanner, Gerhard
2006
Elementary proofs of Morley’s theorem. (Elementare Beweise des Satzes von Morley.) Zbl 1075.51004
Wanner, Gerhard
2004
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2003
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Zbl 0994.65135
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
2002
200 years of least squares method. Zbl 1003.01008
Abdulle, Assyr; Wanner, G.
2002
Order stars and stiff integrators. Zbl 0988.65059
Hairer, Ernst; Wanner, Gerhard
2000
Analysis by its history. Corr. 3rd printing. Zbl 0964.26002
Hairer, Ernst; Wanner, Gerhard
2000
Stiff differential equations solved by Radau methods. Zbl 0945.65080
Hairer, Ernst; Wanner, Gerhard
1999
Order conditions for general two-step Runge-Kutta methods. Zbl 0890.65077
Hairer, Ernst; Wanner, Gerhard
1997
Solving ordinary differential equations. II: Stiff and differential-algebraic problems. 2nd rev. ed. Zbl 0859.65067
Hairer, Ernst; Wanner, Gerhard
1996
Runge-Kutta methods: Some historical notes. Zbl 0867.65038
Butcher, J. C.; Wanner, G.
1996
On a generalization of a theorem of von Neumann. Zbl 0900.65238
Hairer, E.; Wanner, G.
1996
Analysis by its history. Zbl 0842.26002
Hairer, E.; Wanner, G.
1995
Symplectic Runge-Kutta methods with real eigenvalues. Zbl 0807.65081
Hairer, E.; Wanner, G.
1994
Solving ordinary differential equations. I: Nonstiff problems. 2. rev. ed. Zbl 0789.65048
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1993
Solving ordinary differential equations II: Stiff and differential-algebraic problems. Zbl 0729.65051
Hairer, Ernst; Wanner, Gerhard
1991
Solving ordinary differential equations. I: Nonstiff problems. Zbl 0638.65058
Hairer, Ernst; Nørsett, Syvert P.; Wanner, Gerhard
1987
Order stars and stability. Zbl 0624.65061
Wanner, G.
1987
Eigenschaften von Stabilitätsbereichen. Zbl 0544.65059
Wanner, Gerhard
1984
On the instability of the BDF formulas. Zbl 0538.65051
Hairer, Ernst; Wanner, Gerhard
1983
The number of positive weights of a quadrature formula. Zbl 0491.41035
Sottas, G.; Wanner, Gerhard
1982
Characterization of non-linearly stable implicit Runge-Kutta methods. Zbl 0493.65036
Hairer, Ernst; Wanner, Gerhard
1982
A study of Rosenbrock-type methods of high order. Zbl 0469.65047
Kaps, Peter; Wanner, Gerhard
1981
Algebraically stable and implementable Runge-Kutta methods of high order. Zbl 0533.65041
Hairer, Ernst; Wanner, Gerhard
1981
Perturbed collocation and Runge-Kutta methods. Zbl 0471.65045
Nørsett, Syvert P.; Wanner, Gerhard
1981
A reliable Rosenbrock integrator for stiff differential equations. Zbl 0451.65056
Gottwald, B. A.; Wanner, Gerhard
1981
A reliable Rosenbrock integrator for stiff differential systems. Zbl 0449.65051
Gottwald, B. A.; Wanner, Gerhard
1981
Characterization of all $$A$$-stable methods of order $$2m-4$$. Zbl 0475.65043
Wanner, Gerhard
1980
On the choice of $$\gamma$$ for singly-implicit RK or Rosenbrock methods. Zbl 0426.65026
Wanner, Gerhard
1980
The real-pole sandwich for rational approximations and oscillation equations. Zbl 0413.65011
Nørsett, Syvert P.; Wanner, Gerhard
1979
Order stars and stability theorems. Zbl 0444.65039
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1978
When I-stability implies A-stability. Zbl 0444.65040
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1978
When I-stability implies A-stability. Zbl 0432.34033
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P.
1978
On the integration of stiff differential equations. Zbl 0361.65071
Wanner, Gerhard
1977
A theory for Nyström methods. Zbl 0307.65053
Hairer, Ernst; Wanner, Gerhard
1976
A short proof on nonlinear A-stability. Zbl 0329.65048
Wanner, Gerhard
1976
On the Butcher group and general multi-value methods. Zbl 0293.65050
Hairer, Ernst; Wanner, Gerhard
1974
Multistep-multistage-multiderivative methods for ordinary differential equations. Zbl 0271.65048
Hairer, Ernst; Wanner, Gerhard
1973
Runge-Kutta-methods with expansion in even powers of h. Zbl 0258.65076
Wanner, Gerhard
1973
On the perturbation formulas of Gröbner and Alekseev. Zbl 0425.34068
Wanner, G.; Reitberger, H.
1973
On Turan type implicit Runge-Kutta methods. Zbl 0258.65078
Kastlunger, K.; Wanner, Gerhard
1972
Runge Kutta processes with multiple nodes. Zbl 0234.65067
Kastlunger, K. H.; Wanner, Gerhard
1972
Integration of ordinary differential equations. Lie-series (with computational programs). Runge-Kutta-methods. (Integration gewöhnlicher Differentialgleichungen. Lie-Reihen (mit Programmen). Runge-Kutta-Methoden.) Zbl 0221.65116
Wanner, Gerhard
1969
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### Cited by 5,153 Authors

 68 Wu, Xinyuan 63 Lubich, Christian 62 Hairer, Ernst 55 Jackiewicz, Zdzislaw 55 Weiner, Rüdiger 39 Butcher, John C. 38 Ostermann, Alexander 35 Simos, Theodore E. 35 Wang, Bin 35 Wang, Yushun 34 You, Xiong 31 Chartier, Philippe 31 Ramos, Higinio 29 Montijano, Juan Ignacio 29 Sandu, Adrian 28 Wanner, Gerhard 27 Fang, Yonglei 26 D’Ambrosio, Raffaele 26 González-Pinto, Severiano 26 Kulikov, Gennady Yur’evich 26 Murua, Ander 26 van der Houwen, Pieter J. 25 Abdi, Ali 25 Brugnano, Luigi 25 Iserles, Arieh 25 Rández, Luis 25 Sanz-Serna, Jesús María 24 Blanes, Sergio 24 Casas, Fernando 24 Faou, Erwan 24 Sommeijer, Ben P. 24 Van Daele, Marnix 23 Calvo, Manuel 22 Hojjati, Gholamreza 22 Hundsdorfer, Willem H. 22 Tsitouras, Charalampos 21 Auzinger, Winfried 21 Burrage, Kevin 21 Franco, J. Méndez 21 Paternoster, Beatrice 21 Vanden Berghe, Guido 21 Vigo-Aguiar, Jesus 20 Celledoni, Elena 20 Cong, Nguyen Huu 20 McLachlan, Robert I. 20 Nørsett, Syvert Paul 20 Owren, Brynjulf 20 Podhaisky, Helmut 20 Schmitt, Bernhard A. 20 Sun, Yajuan 20 Xiao, Aiguo 20 Zhang, Chengjian 19 Arnold, Martin 19 Li, Jiyong 18 Leok, Melvin 18 Martín de Diego, David 18 Vilmart, Gilles 17 Akrivis, Georgios D. 17 Hartmann, Stefan 17 Hernandez-Abreu, Domingo 17 Jator, Samuel N. 17 Li, Shoufu 17 Schratz, Katharina 17 Shi, Wei 17 Simeon, Bernd 17 Verwer, Jan G. 16 Gan, Siqing 16 Higueras, Inmaculada 16 Iavernaro, Felice 16 Martín-Vaquero, Jesús 16 Mehrmann, Volker 16 Rogov, Boris V. 16 Shampine, Lawrence Fred 16 Spijker, Marc N. 16 Tian, Hongjiong 15 Boscarino, Sebastiano 15 Cai, Wenjun 15 Hong, Jialin 15 Ismail, Fudziah Bt. 15 Izzo, Giuseppe 15 Ketcheson, David I. 15 Koch, Othmar 15 Rößler, Andreas 15 Senu, Norazak 15 Strehmel, Karl 15 Wang, Wansheng 14 De Meyer, Hans E. 14 Famelis, Ioannis Th. 14 Higham, Desmond J. 14 Huang, Chengming 14 Lötstedt, Per 14 Söderlind, Gustaf 14 Thalhammer, Mechthild 14 Van de Vyver, Hans 13 Cano, Begoña 13 Gong, Yuezheng 13 Guglielmi, Nicola 13 Günther, Michael 13 Hochbruck, Marlis 13 Lang, Jens ...and 5,053 more Authors
all top 5

### Cited in 463 Serials

 429 Applied Numerical Mathematics 417 Journal of Computational and Applied Mathematics 274 Journal of Computational Physics 247 BIT 189 Applied Mathematics and Computation 145 Numerische Mathematik 141 Numerical Algorithms 133 Journal of Scientific Computing 122 Computers & Mathematics with Applications 95 Computer Methods in Applied Mechanics and Engineering 92 SIAM Journal on Scientific Computing 89 Mathematics of Computation 79 International Journal of Computer Mathematics 70 SIAM Journal on Numerical Analysis 62 Computer Physics Communications 58 Mathematics and Computers in Simulation 52 Computing 50 International Journal for Numerical Methods in Engineering 47 Foundations of Computational Mathematics 44 Multibody System Dynamics 39 Applied Mathematics Letters 33 Celestial Mechanics and Dynamical Astronomy 32 Advances in Computational Mathematics 29 Physics Letters. A 29 Physica D 29 Journal of Mathematical Chemistry 29 Communications in Nonlinear Science and Numerical Simulation 28 Computers and Fluids 28 Calcolo 27 Computational Mathematics and Mathematical Physics 26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 Computational and Applied Mathematics 23 Japan Journal of Industrial and Applied Mathematics 22 Computational Mechanics 22 Mathematical and Computer Modelling 21 Nonlinear Dynamics 20 Applied Mathematical Modelling 20 Mathematical Problems in Engineering 19 Numerical Methods for Partial Differential Equations 17 Discrete and Continuous Dynamical Systems 17 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 17 Communications in Computational Physics 15 Journal of Mathematical Analysis and Applications 15 Doklady Mathematics 15 Discrete and Continuous Dynamical Systems. Series B 15 Journal of Applied Mathematics 15 BIT. Nordisk Tidskrift for Informationsbehandling 15 Journal of Computational Dynamics 14 Linear Algebra and its Applications 14 Journal of Nonlinear Science 14 Journal of Applied Mathematics and Computing 14 Discrete and Continuous Dynamical Systems. Series S 13 Abstract and Applied Analysis 13 Regular and Chaotic Dynamics 13 Differential Equations 13 Multiscale Modeling & Simulation 13 Advances in Difference Equations 12 Optimization Methods & Software 11 Mathematical Biosciences 11 Elemente der Mathematik 11 Numerical Linear Algebra with Applications 10 International Journal for Numerical Methods in Fluids 10 Chaos, Solitons and Fractals 10 Journal of Optimization Theory and Applications 10 SIAM Journal on Control and Optimization 10 Applied Mathematics and Mechanics. (English Edition) 10 Journal of Mathematical Sciences (New York) 10 Matematicheskoe Modelirovanie 10 Advances in Applied Mathematics and Mechanics 9 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 9 Journal of Differential Equations 9 Journal of Dynamics and Differential Equations 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 International Journal of Applied and Computational Mathematics 8 Journal of Fluid Mechanics 8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 8 SIAM Journal on Matrix Analysis and Applications 8 Journal of Difference Equations and Applications 8 International Journal of Modern Physics C 8 Acta Numerica 8 Statistics and Computing 8 SIAM/ASA Journal on Uncertainty Quantification 8 Communications on Applied Mathematics and Computation 7 Bulletin of Mathematical Biology 7 Automatica 7 International Journal of Circuit Theory and Applications 7 Meccanica 7 Numerical Functional Analysis and Optimization 7 Systems & Control Letters 7 Journal of the Nigerian Mathematical Society 7 Communications in Numerical Methods in Engineering 7 Journal of Computational Neuroscience 7 Mathematical and Computer Modelling of Dynamical Systems 7 Discrete Dynamics in Nature and Society 7 Combustion Theory and Modelling 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Mediterranean Journal of Mathematics 7 Journal of Geometric Mechanics 7 Afrika Matematika 6 International Journal of Control ...and 363 more Serials
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### Cited in 59 Fields

 3,751 Numerical analysis (65-XX) 1,477 Ordinary differential equations (34-XX) 911 Partial differential equations (35-XX) 515 Dynamical systems and ergodic theory (37-XX) 416 Mechanics of particles and systems (70-XX) 398 Fluid mechanics (76-XX) 242 Probability theory and stochastic processes (60-XX) 219 Mechanics of deformable solids (74-XX) 191 Biology and other natural sciences (92-XX) 145 Systems theory; control (93-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 119 Statistical mechanics, structure of matter (82-XX) 104 Quantum theory (81-XX) 92 Computer science (68-XX) 92 Optics, electromagnetic theory (78-XX) 74 Classical thermodynamics, heat transfer (80-XX) 69 Integral equations (45-XX) 64 Operations research, mathematical programming (90-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 54 Approximations and expansions (41-XX) 52 Operator theory (47-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Statistics (62-XX) 47 Differential geometry (53-XX) 46 Information and communication theory, circuits (94-XX) 36 Geophysics (86-XX) 31 Combinatorics (05-XX) 30 Real functions (26-XX) 27 Difference and functional equations (39-XX) 21 History and biography (01-XX) 21 Associative rings and algebras (16-XX) 21 Relativity and gravitational theory (83-XX) 20 Nonassociative rings and algebras (17-XX) 19 Astronomy and astrophysics (85-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Geometry (51-XX) 13 Topological groups, Lie groups (22-XX) 13 Special functions (33-XX) 13 Integral transforms, operational calculus (44-XX) 11 General and overarching topics; collections (00-XX) 11 Functional analysis (46-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Number theory (11-XX) 6 Algebraic geometry (14-XX) 4 Functions of a complex variable (30-XX) 4 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mathematics education (97-XX) 1 (04-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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