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Gear, Charles William (b. 1935 d. 2022)

Author ID: gear.charles-william Recent zbMATH articles by "Gear, Charles William"
Published as: Gear, C. W.; Gear, C. William; Gear, Charles William; Gear, Charles W.; Gear, C.
Homepage: http://www.princeton.edu/~wgear/
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Serials

8 SIAM Journal on Numerical Analysis
6 Journal of Computational and Applied Mathematics
4 Journal of Computational Physics
3 SIAM Journal on Scientific and Statistical Computing
3 Applied Numerical Mathematics
3 SIAM Review
2 Physics Letters. A
2 Mathematics of Computation
2 ACM Transactions on Mathematical Software
2 BIT
2 Physica D
2 Communications of the ACM
2 SIAM Journal on Applied Dynamical Systems
2 Multiscale Modeling & Simulation
1 Applied Mathematics and Computation
1 Calcolo
1 The Computer Journal. Section A / Section B
1 Journal of the Association for Computing Machinery
1 Numerische Mathematik
1 SIAM Journal on Algebraic and Discrete Methods
1 Parallel Computing
1 Journal of Scientific Computing
1 Journal of Non-Newtonian Fluid Mechanics
1 SIAM Journal on Scientific Computing
1 Discrete and Continuous Dynamical Systems
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Mathematical Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Journal of Mathematics and Physics
1 Lecture Notes in Mathematics
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Mathematical Modelling of Natural Phenomena
1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
1 Proceedings in Applied Mathematics
1 McGraw-Hill Computer Science Series

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 2,314 times in 1,748 Documents Cited by Year
Numerical initial value problems in ordinary differential equations. Zbl 1145.65316
Gear, C. William
367
1971
The automatic integration of ordinary differential equations. Zbl 0217.21701
Gear, C. W.
331
1971
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
185
2003
Automatic integration of Euler-Lagrange equations with constraints. Zbl 0576.65072
Gear, C. W.; Leimkuhler, B.; Gupta, G. K.
105
1985
ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053
Gear, C. W.; Petzold, L. R.
100
1984
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
87
1984
The index of general nonlinear DAEs. Zbl 0844.34007
Campbell, Stephen L.; Gear, C. William
71
1995
Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum. Zbl 1034.65056
Gear, C. W.; Kevrekidis, Ioannis G.
66
2003
Differential-algebraic equation index transformations. Zbl 0637.65072
Gear, C. W.
66
1988
Hybrid methods for initial value problems in ordinary differential equations. Zbl 0173.44403
Gear, C. W.
55
1965
Projecting to a slow manifold: singularly perturbed systems and legacy codes. Zbl 1170.34343
Gear, C. W.; Kaper, T. J.; Kevrekidis, I. G.; Zagaris, A.
53
2005
Differential algebraic equations, indices, and integral algebraic equations. Zbl 0732.65061
Gear, C. W.
44
1990
The effect of variable mesh size on the stability of multistep methods. Zbl 0292.65041
Gear, C. W.; Tu, K. W.
44
1974
A user’s view of solving stiff ordinary differential equations. Zbl 0415.65038
Shampine, L. F.; Gear, C. W.
41
1979
s-step iterative methods for symmetric linear systems. Zbl 0669.65021
Chronopoulos, A. T.; Gear, C. W.
35
1989
Iterative solution of linear equations in ODE codes. Zbl 0541.65051
Gear, C. W.; Saad, Y.
32
1983
Differential/algebraic systems and matrix pencils. Zbl 0494.65038
Gear, C. W.; Petzold, L. R.
31
1983
The automatic integration of stiff ordinary differential equations. Zbl 0195.45702
Gear, C. W.
31
1969
Constraint-defined manifolds: a legacy code approach to low-dimensional computation. Zbl 1203.37005
Gear, C. William; Kevrekidis, Ioannis G.
30
2005
Maintaining solution invariants in the numerical solution of ODEs. Zbl 0614.65076
Gear, C. W.
26
1986
Parallel methods for ordinary differential equations. Zbl 0675.65068
Gear, C. W.
24
1988
The numerical integration of ordinary differential equations. Zbl 0155.20601
Gear, C. W.
23
1967
On the efficient implementation of preconditioned s-step conjugate gradient methods on multiprocessors with memory hierarchy. Zbl 0679.65020
Chronopoulos, A. T.; Gear, C. W.
21
1989
Stability and convergence of variable order multistep methods. Zbl 0294.65041
Gear, C. W.; Watanabe, D. S.
21
1974
Solving ordinary differential equations with discontinuities. Zbl 0553.65050
Gear, C. W.; Østerby, O.
20
1984
Second-order accurate projective integrators for multiscale problems. Zbl 1110.65063
Lee, Steven L.; Gear, C. William
19
2007
Telescopic projective methods for parabolic differential equations. Zbl 1018.65116
Gear, C. W.; Kevrekidis, Ioannis G.
19
2003
Analysis of the accuracy and convergence of equation-free projection to a slow manifold. Zbl 1194.35077
Zagaris, Antonios; Gear, C. William; Kaper, Tasso J.; Kevrekidis, Yannis G.
19
2009
Runge-Kutta starters for multistep methods. Zbl 0455.65051
Gear, C. W.
18
1980
Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076
Leimkuhler, B.; Petzold, L. R.; Gear, C. W.
18
1991
Coarse projective kMC integration: Forward/reverse initial and boundary value problems. Zbl 1053.65005
Rico-Martínez, R.; Gear, C. W.; Kevrekidis, Ioannis G.
18
2004
The stability of numerical methods for second order ordinary differential equations. Zbl 0388.65030
Gear, C. William
16
1978
The analysis of generalized backwards difference formula methods applied to Hessenberg form differential-algebraic equations. Zbl 0731.65056
Keiper, J. B.; Gear, C. W.
16
1991
Numerical solution of ordinary differential equations: is there anything left to do? Zbl 0473.65039
Gear, C. W.
14
1981
The gap-tooth method in particle simulations. Zbl 1031.82024
Gear, C. William; Li, Ju; Kevrekidis, Ioannis G.
14
2003
Application of coarse integration to bacterial chemotaxis. Zbl 1082.92012
Setayeshgar, S.; Gear, C. W.; Othmer, H. G.; Kevrekidis, I. G.
13
2005
Computing the structural index. Zbl 0619.65064
Duff, I. S.; Gear, C. W.
13
1986
Data-driven reduction for a class of multiscale fast-slow stochastic dynamical systems. Zbl 1353.37151
Dsilva, Carmeline J.; Talmon, Ronen; Gear, C. William; Coifman, Ronald R.; Kevrekidis, Ioannis G.
13
2016
Deciding the nature of the coarse equation through microscopic simulations: the baby-bathwater scheme. Zbl 1147.82347
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G.
12
2007
Equation-free modelling of evolving diseases: coarse-grained computations with individual-based models. Zbl 1063.92046
Cisternas, Jaime; Gear, C. William; Levin, Simon; Kevrekidis, Ioannis G.
12
2004
Invariants and numerical methods for ODEs. Zbl 0779.34012
Gear, C. W.
10
1992
The potential for parallelism in ordinary differential equations. Zbl 0668.65057
Gear, C. W.
10
1987
Massive parallelism across space in ODEs. Zbl 0798.65075
Gear, C. W.
9
1993
Does variable step size ruin a symplectic integrator? Zbl 0779.58020
Skeel, Robert D.; Gear, C. W.
9
1992
Analysis and computation of a discrete KdV-Burgers type equation with fast dispersion and slow diffusion. Zbl 1245.34063
Artstein, Zvi; Gear, C. William; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
9
2011
Projective and coarse projective integration for problems with continuous symmetries. Zbl 1122.65091
Kavousanakis, M. E.; Erban, R.; Boudouvis, A. G.; Gear, C. W.; Kevrekidis, I. G.
8
2007
Simulation: conflicts between real-time and software. Zbl 0407.68031
Gear, C. W.
8
1977
Manifold learning for parameter reduction. Zbl 1452.37090
Holiday, Alexander; Kooshkbaghi, Mahdi; Bello-Rivas, Juan M.; Gear, C. William; Zagaris, Antonios; Kevrekidis, Ioannis G.
8
2019
Parallelism across time in ODEs. Zbl 0798.65076
Gear, C. W.; Xu, Xuhai
7
1993
A simple set of test matrices for eigenvalue programs. Zbl 0182.49101
Gear, C. W.
7
1969
Computing in the past with forward integration. Zbl 1118.81352
Gear, C. W.; Kevrekidis, Ioannis G.
6
2004
Waveform methods for space and time parallelism. Zbl 0747.65051
Gear, C. W.
6
1991
Deciding the nature of the coarse equation through microscopic simulations: The baby-bathwater scheme. Zbl 1031.65019
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G.
6
2003
A graphical search for stiffly stable methods for ordinary differential equations. Zbl 0224.65022
Dill, C.; Gear, C. W.
6
1971
From molecular dynamics to coarse self-similar solutions: a simple example using equation-free computation. Zbl 1143.76381
Chen, L.; Debenedetti, P. G.; Gear, C. W.; Kevrekidis, I. G.
6
2004
Towards explicit methods for differential algebraic equations. Zbl 1102.65089
Gear, C. W.
5
2006
Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold. Zbl 1245.65102
Zagaris, Antonios; Vandekerckhove, Christophe; Gear, C. William; Kaper, Tasso J.; Kevrekidis, Ioannis G.
5
2012
Automatic methods for highly oscillatory ordinary differential equations. Zbl 0475.65050
Gear, C. W.; Gallivan, K. A.
4
1982
Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations. Zbl 0503.65050
Gear, C. W.
4
1982
Differential-algebraic equations. Zbl 0567.70002
Gear, C. W.
4
1984
Estimation of errors and derivatives in ordinary differential equations. Zbl 0312.65052
Gear, C. William
4
1974
The speed of waveform methods for ODEs. Zbl 0731.65054
Gear, C. W.; Juang, Fen-Lien
4
1991
On the acceleration of spatially distributed agent-based computations: a patch dynamics scheme. Zbl 1326.91009
Liu, Ping; Samaey, Giovanni; Gear, C. William; Kevrekidis, Ioannis G.
4
2015
Singular implicit ordinary differential equations and constraints. Zbl 0513.65047
Gear, C. W.; Petzold, L. R.
3
1983
An introduction to numerical methods for ODEs and DAEs. Zbl 0763.65054
Gear, C. W.
3
1991
Parallel solution of ODEs. Zbl 0763.65055
Gear, C. W.
3
1991
Equation-free model reduction in agent-based computations: coarse-grained bifurcation and variable-free rare event analysis. Zbl 1325.35233
Liu, Ping; Siettos, C. I.; Gear, C. W.; Kevrekidis, I. G.
3
2015
Initial value problems: Practical theoretical developments. Zbl 0473.65040
Gear, C. W.
2
1980
Treating a single, stiff, second-order ODE directly. Zbl 0685.65082
Suleiman, M. B.; Gear, C. W.
2
1989
The numerical solution of problems which may have high frequency components. Zbl 0606.70023
Gear, C. W.
2
1984
Smooth numerical solutions of ordinary differential equations. Zbl 0515.65058
Gear, C. W.; Vu, Thu
1
1983
DAEs: ODEs with constraints and invariants. Zbl 0676.65077
Gear, C. W.
1
1989
Introduction to computer science. Instructor’s guide. Zbl 0327.68001
Gear, C. W.
1
1973
Computing on virtual slow manifolds of fast stochastic systems. Zbl 1432.65088
Gear, C. W.; Givon, D.; Kevrekidis, I. G.
1
2010
Manifold learning for parameter reduction. Zbl 1452.37090
Holiday, Alexander; Kooshkbaghi, Mahdi; Bello-Rivas, Juan M.; Gear, C. William; Zagaris, Antonios; Kevrekidis, Ioannis G.
8
2019
Data-driven reduction for a class of multiscale fast-slow stochastic dynamical systems. Zbl 1353.37151
Dsilva, Carmeline J.; Talmon, Ronen; Gear, C. William; Coifman, Ronald R.; Kevrekidis, Ioannis G.
13
2016
On the acceleration of spatially distributed agent-based computations: a patch dynamics scheme. Zbl 1326.91009
Liu, Ping; Samaey, Giovanni; Gear, C. William; Kevrekidis, Ioannis G.
4
2015
Equation-free model reduction in agent-based computations: coarse-grained bifurcation and variable-free rare event analysis. Zbl 1325.35233
Liu, Ping; Siettos, C. I.; Gear, C. W.; Kevrekidis, I. G.
3
2015
Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold. Zbl 1245.65102
Zagaris, Antonios; Vandekerckhove, Christophe; Gear, C. William; Kaper, Tasso J.; Kevrekidis, Ioannis G.
5
2012
Analysis and computation of a discrete KdV-Burgers type equation with fast dispersion and slow diffusion. Zbl 1245.34063
Artstein, Zvi; Gear, C. William; Kevrekidis, Ioannis G.; Slemrod, Marshall; Titi, Edriss S.
9
2011
Computing on virtual slow manifolds of fast stochastic systems. Zbl 1432.65088
Gear, C. W.; Givon, D.; Kevrekidis, I. G.
1
2010
Analysis of the accuracy and convergence of equation-free projection to a slow manifold. Zbl 1194.35077
Zagaris, Antonios; Gear, C. William; Kaper, Tasso J.; Kevrekidis, Yannis G.
19
2009
Second-order accurate projective integrators for multiscale problems. Zbl 1110.65063
Lee, Steven L.; Gear, C. William
19
2007
Deciding the nature of the coarse equation through microscopic simulations: the baby-bathwater scheme. Zbl 1147.82347
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G.
12
2007
Projective and coarse projective integration for problems with continuous symmetries. Zbl 1122.65091
Kavousanakis, M. E.; Erban, R.; Boudouvis, A. G.; Gear, C. W.; Kevrekidis, I. G.
8
2007
Towards explicit methods for differential algebraic equations. Zbl 1102.65089
Gear, C. W.
5
2006
Projecting to a slow manifold: singularly perturbed systems and legacy codes. Zbl 1170.34343
Gear, C. W.; Kaper, T. J.; Kevrekidis, I. G.; Zagaris, A.
53
2005
Constraint-defined manifolds: a legacy code approach to low-dimensional computation. Zbl 1203.37005
Gear, C. William; Kevrekidis, Ioannis G.
30
2005
Application of coarse integration to bacterial chemotaxis. Zbl 1082.92012
Setayeshgar, S.; Gear, C. W.; Othmer, H. G.; Kevrekidis, I. G.
13
2005
Coarse projective kMC integration: Forward/reverse initial and boundary value problems. Zbl 1053.65005
Rico-Martínez, R.; Gear, C. W.; Kevrekidis, Ioannis G.
18
2004
Equation-free modelling of evolving diseases: coarse-grained computations with individual-based models. Zbl 1063.92046
Cisternas, Jaime; Gear, C. William; Levin, Simon; Kevrekidis, Ioannis G.
12
2004
Computing in the past with forward integration. Zbl 1118.81352
Gear, C. W.; Kevrekidis, Ioannis G.
6
2004
From molecular dynamics to coarse self-similar solutions: a simple example using equation-free computation. Zbl 1143.76381
Chen, L.; Debenedetti, P. G.; Gear, C. W.; Kevrekidis, I. G.
6
2004
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
185
2003
Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum. Zbl 1034.65056
Gear, C. W.; Kevrekidis, Ioannis G.
66
2003
Telescopic projective methods for parabolic differential equations. Zbl 1018.65116
Gear, C. W.; Kevrekidis, Ioannis G.
19
2003
The gap-tooth method in particle simulations. Zbl 1031.82024
Gear, C. William; Li, Ju; Kevrekidis, Ioannis G.
14
2003
Deciding the nature of the coarse equation through microscopic simulations: The baby-bathwater scheme. Zbl 1031.65019
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G.
6
2003
The index of general nonlinear DAEs. Zbl 0844.34007
Campbell, Stephen L.; Gear, C. William
71
1995
Massive parallelism across space in ODEs. Zbl 0798.65075
Gear, C. W.
9
1993
Parallelism across time in ODEs. Zbl 0798.65076
Gear, C. W.; Xu, Xuhai
7
1993
Invariants and numerical methods for ODEs. Zbl 0779.34012
Gear, C. W.
10
1992
Does variable step size ruin a symplectic integrator? Zbl 0779.58020
Skeel, Robert D.; Gear, C. W.
9
1992
Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076
Leimkuhler, B.; Petzold, L. R.; Gear, C. W.
18
1991
The analysis of generalized backwards difference formula methods applied to Hessenberg form differential-algebraic equations. Zbl 0731.65056
Keiper, J. B.; Gear, C. W.
16
1991
Waveform methods for space and time parallelism. Zbl 0747.65051
Gear, C. W.
6
1991
The speed of waveform methods for ODEs. Zbl 0731.65054
Gear, C. W.; Juang, Fen-Lien
4
1991
An introduction to numerical methods for ODEs and DAEs. Zbl 0763.65054
Gear, C. W.
3
1991
Parallel solution of ODEs. Zbl 0763.65055
Gear, C. W.
3
1991
Differential algebraic equations, indices, and integral algebraic equations. Zbl 0732.65061
Gear, C. W.
44
1990
s-step iterative methods for symmetric linear systems. Zbl 0669.65021
Chronopoulos, A. T.; Gear, C. W.
35
1989
On the efficient implementation of preconditioned s-step conjugate gradient methods on multiprocessors with memory hierarchy. Zbl 0679.65020
Chronopoulos, A. T.; Gear, C. W.
21
1989
Treating a single, stiff, second-order ODE directly. Zbl 0685.65082
Suleiman, M. B.; Gear, C. W.
2
1989
DAEs: ODEs with constraints and invariants. Zbl 0676.65077
Gear, C. W.
1
1989
Differential-algebraic equation index transformations. Zbl 0637.65072
Gear, C. W.
66
1988
Parallel methods for ordinary differential equations. Zbl 0675.65068
Gear, C. W.
24
1988
The potential for parallelism in ordinary differential equations. Zbl 0668.65057
Gear, C. W.
10
1987
Maintaining solution invariants in the numerical solution of ODEs. Zbl 0614.65076
Gear, C. W.
26
1986
Computing the structural index. Zbl 0619.65064
Duff, I. S.; Gear, C. W.
13
1986
Automatic integration of Euler-Lagrange equations with constraints. Zbl 0576.65072
Gear, C. W.; Leimkuhler, B.; Gupta, G. K.
105
1985
ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053
Gear, C. W.; Petzold, L. R.
100
1984
Multirate linear multistep methods. Zbl 0555.65046
Gear, C. W.; Wells, D. R.
87
1984
Solving ordinary differential equations with discontinuities. Zbl 0553.65050
Gear, C. W.; Østerby, O.
20
1984
Differential-algebraic equations. Zbl 0567.70002
Gear, C. W.
4
1984
The numerical solution of problems which may have high frequency components. Zbl 0606.70023
Gear, C. W.
2
1984
Iterative solution of linear equations in ODE codes. Zbl 0541.65051
Gear, C. W.; Saad, Y.
32
1983
Differential/algebraic systems and matrix pencils. Zbl 0494.65038
Gear, C. W.; Petzold, L. R.
31
1983
Singular implicit ordinary differential equations and constraints. Zbl 0513.65047
Gear, C. W.; Petzold, L. R.
3
1983
Smooth numerical solutions of ordinary differential equations. Zbl 0515.65058
Gear, C. W.; Vu, Thu
1
1983
Automatic methods for highly oscillatory ordinary differential equations. Zbl 0475.65050
Gear, C. W.; Gallivan, K. A.
4
1982
Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations. Zbl 0503.65050
Gear, C. W.
4
1982
Numerical solution of ordinary differential equations: is there anything left to do? Zbl 0473.65039
Gear, C. W.
14
1981
Runge-Kutta starters for multistep methods. Zbl 0455.65051
Gear, C. W.
18
1980
Initial value problems: Practical theoretical developments. Zbl 0473.65040
Gear, C. W.
2
1980
A user’s view of solving stiff ordinary differential equations. Zbl 0415.65038
Shampine, L. F.; Gear, C. W.
41
1979
The stability of numerical methods for second order ordinary differential equations. Zbl 0388.65030
Gear, C. William
16
1978
Simulation: conflicts between real-time and software. Zbl 0407.68031
Gear, C. W.
8
1977
The effect of variable mesh size on the stability of multistep methods. Zbl 0292.65041
Gear, C. W.; Tu, K. W.
44
1974
Stability and convergence of variable order multistep methods. Zbl 0294.65041
Gear, C. W.; Watanabe, D. S.
21
1974
Estimation of errors and derivatives in ordinary differential equations. Zbl 0312.65052
Gear, C. William
4
1974
Introduction to computer science. Instructor’s guide. Zbl 0327.68001
Gear, C. W.
1
1973
Numerical initial value problems in ordinary differential equations. Zbl 1145.65316
Gear, C. William
367
1971
The automatic integration of ordinary differential equations. Zbl 0217.21701
Gear, C. W.
331
1971
A graphical search for stiffly stable methods for ordinary differential equations. Zbl 0224.65022
Dill, C.; Gear, C. W.
6
1971
The automatic integration of stiff ordinary differential equations. Zbl 0195.45702
Gear, C. W.
31
1969
A simple set of test matrices for eigenvalue programs. Zbl 0182.49101
Gear, C. W.
7
1969
The numerical integration of ordinary differential equations. Zbl 0155.20601
Gear, C. W.
23
1967
Hybrid methods for initial value problems in ordinary differential equations. Zbl 0173.44403
Gear, C. W.
55
1965
all top 5

Cited by 2,465 Authors

47 Kevrekidis, Ioannis George
21 Shampine, Lawrence Fred
18 Gear, Charles William
16 Campbell, Stephen LaVern
16 Samaey, Giovanni
14 Siettos, Constantinos I.
13 Butcher, John C.
13 Jator, Samuel N.
13 Zlatev, Zahari
12 März, Roswitha
12 Sandu, Adrian
10 Engquist, Bjorn E.
10 Mehrmann, Volker
10 Petzold, Linda Ruth
10 Suleiman, Mohamed Bin
9 Cash, Jeff R.
9 Gerdts, Matthias
9 Günther, Michael
9 Lamour, René
9 Roberts, Anthony John
9 Söderlind, Gustaf
8 Attia, Hazem Ali
8 Goussis, Dimitris A.
8 Ikhile, Monday Ndidi Oziegbe
8 Kutz, J. Nathan
7 Abdulle, Assyr
7 Bunder, J. E.
7 Burrage, Kevin
7 Calvo, Manuel
7 Carson, Erin Claire
7 Jackiewicz, Zdzislaw
7 Karniadakis, George Em
7 Montijano, Juan Ignacio
7 Pishbin, Saeed
7 Rández, Luis
7 Roberts, Sanford M.
6 Bartel, Andreas
6 Blajer, Wojciech
6 Brunton, Steven L.
6 Hairer, Ernst
6 Kacewicz, Bolesław Z.
6 Kunkel, Peter
6 Roose, Dirk
6 Simeon, Bernd
6 Skeel, Robert D.
6 Tischendorf, Caren
6 Tsai, Yen-Hsi Richard
6 van der Houwen, Pieter J.
6 Wang, Junjun
6 Weiner, Rüdiger
6 Wu, Xinyuan
5 Ariel, Gil
5 Brüls, Olivier
5 Cardona, Alberto
5 Clark, Kenneth D.
5 Constantinescu, Emil M.
5 Duran, Angel
5 Enright, Wayne H.
5 Erban, Radek
5 Flaherty, Joseph E.
5 Gupta, Gopal K.
5 Kavousanakis, Michail E.
5 Lebiedz, Dirk
5 Liu, Xingping
5 Lu, Daixing
5 Lubich, Christian
5 Mazzia, Francesca
5 Ngwane, Fidele F.
5 Okunuga, Solomon A.
5 Runborg, Olof
5 Russo, Lucia
5 Sanz-Serna, Jesús María
5 Schweizer, Bernhard
5 Sommeijer, Ben P.
5 Tamma, Kumar K.
5 Trenchea, Catalin
5 Vabishchevich, Pëtr Nikolaevich
5 Valorani, Mauro
5 Vanroose, Wim
5 Xiu, Dongbin
5 Yee, Helen C.
5 Zielinski, Przemyslaw
4 Acary, Vincent
4 Altmann, Robert
4 Axelsson, Axel Owe Holger
4 Bayram, Mustafa
4 Bu, Sunyoung
4 Byrne, Helen Mary
4 Çelik, Ercan
4 Chartier, Philippe
4 Dietrich, Felix
4 Estévez Schwarz, Diana
4 Ghanbari, Fariba
4 Gottwald, Georg A.
4 Greenberg, Jerrold Barry
4 Helenbrook, Brian T.
4 Ibrahim, Zarina Bibi Binti
4 Iwata, Satoru
4 Kim, Philsu
4 Koutsourelakis, Phaedon-Stelios
...and 2,365 more Authors
all top 5

Cited in 263 Serials

169 Journal of Computational Physics
113 Journal of Computational and Applied Mathematics
111 Applied Numerical Mathematics
83 Computer Methods in Applied Mechanics and Engineering
79 Applied Mathematics and Computation
51 Computers & Mathematics with Applications
44 Numerische Mathematik
42 Mathematics of Computation
34 SIAM Journal on Scientific Computing
33 BIT
33 International Journal of Computer Mathematics
29 Numerical Algorithms
27 Journal of Scientific Computing
25 Computing
24 Physica D
24 Multibody System Dynamics
23 Applied Mathematical Modelling
20 Mathematics and Computers in Simulation
20 Linear Algebra and its Applications
19 Journal of Optimization Theory and Applications
19 BIT. Nordisk Tidskrift for Informationsbehandling
17 Mathematical Biosciences
17 Multiscale Modeling & Simulation
16 Journal of Mathematical Biology
16 International Journal for Numerical Methods in Engineering
15 Computer Physics Communications
15 Computational and Applied Mathematics
13 Bulletin of Mathematical Biology
13 Nonlinear Dynamics
12 Computers and Fluids
12 Circuits, Systems, and Signal Processing
11 Journal of Mathematical Analysis and Applications
10 Automatica
10 Calcolo
10 Mathematical and Computer Modelling
10 SIAM Journal on Applied Dynamical Systems
9 Journal of the Franklin Institute
9 SIAM Journal on Numerical Analysis
9 Computational Mechanics
8 Applied Mathematics Letters
8 Combustion Theory and Modelling
7
7 Mathematical Problems in Engineering
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Computational Dynamics
6 International Journal of Systems Science
6 Journal of Fluid Mechanics
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Chaos, Solitons and Fractals
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Numerical Linear Algebra with Applications
6 Communications in Nonlinear Science and Numerical Simulation
5 Journal of the Nigerian Mathematical Society
5 Computing and Visualization in Science
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Chaos
5 Afrika Matematika
4 Journal of Engineering Mathematics
4 Nonlinearity
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Molecular Simulation
4 Journal of Differential Equations
4 SIAM Journal on Matrix Analysis and Applications
4 SIAM Review
4 Journal of Nonlinear Science
4 Applied and Computational Harmonic Analysis
4 Advances in Computational Mathematics
4 Journal of Mathematical Chemistry
4 European Journal of Mechanics. A. Solids
4 Computational Geosciences
4 Advances in Difference Equations
4 Journal of Theoretical Biology
4 SIAM/ASA Journal on Uncertainty Quantification
3 Acta Mechanica
3 Applicable Analysis
3 Astrophysics and Space Science
3 Biological Cybernetics
3 International Journal of Engineering Science
3 International Journal of Mathematical Education in Science and Technology
3 International Journal for Numerical Methods in Fluids
3 Moscow University Mathematics Bulletin
3 Physics of Fluids
3 Meccanica
3 Journal of Symbolic Computation
3 Journal of Complexity
3 Numerical Methods for Partial Differential Equations
3 MCSS. Mathematics of Control, Signals, and Systems
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal of Dynamics and Differential Equations
3 Cybernetics and Systems Analysis
3 Journal of Vibration and Control
3 Mathematical and Computer Modelling of Dynamical Systems
3 Discrete Dynamics in Nature and Society
3 International Journal of Applied Mathematics and Computer Science
3 Mathematical Modelling and Analysis
3 Archives of Computational Methods in Engineering
3 Computational Methods in Applied Mathematics
3 Journal of Applied Mathematics
3 Acta Numerica
3 International Journal of Applied and Computational Mathematics
...and 163 more Serials
all top 5

Cited in 47 Fields

1,176 Numerical analysis (65-XX)
546 Ordinary differential equations (34-XX)
220 Fluid mechanics (76-XX)
213 Partial differential equations (35-XX)
148 Mechanics of particles and systems (70-XX)
128 Biology and other natural sciences (92-XX)
119 Dynamical systems and ergodic theory (37-XX)
112 Mechanics of deformable solids (74-XX)
85 Systems theory; control (93-XX)
84 Computer science (68-XX)
65 Statistical mechanics, structure of matter (82-XX)
63 Classical thermodynamics, heat transfer (80-XX)
51 Probability theory and stochastic processes (60-XX)
38 Integral equations (45-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
25 Geophysics (86-XX)
24 Statistics (62-XX)
23 Optics, electromagnetic theory (78-XX)
23 Operations research, mathematical programming (90-XX)
21 Information and communication theory, circuits (94-XX)
18 Quantum theory (81-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Approximations and expansions (41-XX)
9 Operator theory (47-XX)
7 History and biography (01-XX)
7 Combinatorics (05-XX)
7 Real functions (26-XX)
7 Differential geometry (53-XX)
6 Field theory and polynomials (12-XX)
6 Astronomy and astrophysics (85-XX)
4 General and overarching topics; collections (00-XX)
4 Functions of a complex variable (30-XX)
3 Number theory (11-XX)
3 Commutative algebra (13-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Mathematical logic and foundations (03-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Relativity and gravitational theory (83-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

Citations by Year

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