Edit Profile (opens in new tab) Gear, Charles William (b. 1935 d. 2022) Co-Author Distance Author ID: gear.charles-william Published as: Gear, C. W.; Gear, C. William; Gear, Charles William; Gear, Charles W.; Gear, C. more...less Homepage: http://www.princeton.edu/~wgear/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 83 Publications since 1964, including 3 Books and 1 Additional arXiv Preprint 5 Contributions as Editor Software Indexed: 1 Package Biographic References: 1 Publication Co-Authors: 57 Co-Authors with 52 Joint Publications 2,265 Co-Co-Authors all top 5 Co-Authors 34 single-authored 25 Kevrekidis, Ioannis George 4 Petzold, Linda Ruth 4 Zagaris, Antonios 3 Kaper, Tasso J. 3 Kevrekidis, Panayotis G. 3 Li, Ju 3 Voigt, Robert G. 2 Chronopoulos, Anthony Theodore 2 Dsilva, Carmeline J. 2 Givon, Dror 2 Leimkuhler, Benedict J. 2 Liu, Ping 1 Artstein, Zvi 1 Bellen, Alfredo 1 Bello-Rivas, Juan M. 1 Boudouvis, Andreas G. 1 Campbell, Stephen LaVern 1 Chen, Ligang 1 Chiavazzo, Eliodoro 1 Cisternas, Jaime E. 1 Coifman, Ronald Raphaël 1 Debenedetti, Pablo G. 1 Dill, C. 1 Duff, Iain S. 1 Erban, Radek 1 Gallivan, Kyle A. 1 Holiday, Alexander 1 Hyman, James M. 1 Jamshidi, Arta A. 1 Juang, Fen-Lien 1 Kavousanakis, Michail E. 1 Keiper, Jerry B. 1 Kooshkbaghi, Mahdi 1 Lee, Steven L. 1 Levin, Simon Asher 1 Østerby, Ole 1 Othmer, Hans G. 1 Rabin, Neta 1 Rico-Martínez, R. 1 Runborg, Olof 1 Russo, Elvira 1 Saad, Yousef 1 Samaey, Giovanni 1 Setayeshgar, S. 1 Shampine, Lawrence Fred 1 Siettos, Constantinos I. 1 Skeel, Robert D. 1 Slemrod, Marshall 1 Suleiman, Mohamed Bin 1 Talmon, Ronen 1 Theodoropoulos, Constantinos 1 Titi, Edriss Saleh 1 Tu, Kewei 1 Vandekerckhove, Christophe 1 Wang, Dianhan 1 Watanabe, Daniel S. 1 Xu, Xuhai 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 all top 5 Fields 65 Numerical analysis (65-XX) 33 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Computer science (68-XX) 5 General and overarching topics; collections (00-XX) 5 Biology and other natural sciences (92-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 2,544 times in 1,926 Documents Cited by ▼ Year ▼ Numerical initial value problems in ordinary differential equations. Zbl 1145.65316 Gear, C. William 425 1971 The automatic integration of ordinary differential equations. Zbl 0217.21701 Gear, C. W. 334 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 216 2003 Automatic integration of Euler-Lagrange equations with constraints. Zbl 0576.65072 Gear, C. W.; Leimkuhler, B.; Gupta, G. K. 115 1985 ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053 Gear, C. W.; Petzold, L. R. 105 1984 Multirate linear multistep methods. Zbl 0555.65046 Gear, C. W.; Wells, D. R. 88 1984 The index of general nonlinear DAEs. Zbl 0844.34007 Campbell, Stephen L.; Gear, C. William 77 1995 Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum. Zbl 1034.65056 Gear, C. W.; Kevrekidis, Ioannis G. 73 2003 Differential-algebraic equation index transformations. Zbl 0637.65072 Gear, C. W. 70 1988 Hybrid methods for initial value problems in ordinary differential equations. Zbl 0173.44403 Gear, C. W. 60 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. 55 2005 Differential algebraic equations, indices, and integral algebraic equations. Zbl 0732.65061 Gear, C. W. 50 1990 A user’s view of solving stiff ordinary differential equations. Zbl 0415.65038 Shampine, L. F.; Gear, C. W. 48 1979 The effect of variable mesh size on the stability of multistep methods. Zbl 0292.65041 Gear, C. W.; Tu, K. W. 47 1974 s-step iterative methods for symmetric linear systems. Zbl 0669.65021 Chronopoulos, A. T.; Gear, C. W. 44 1989 The automatic integration of stiff ordinary differential equations. Zbl 0195.45702 Gear, C. W. 36 1969 Iterative solution of linear equations in ODE codes. Zbl 0541.65051 Gear, C. W.; Saad, Y. 36 1983 Differential/algebraic systems and matrix pencils. Zbl 0494.65038 Gear, C. W.; Petzold, L. R. 31 1983 Constraint-defined manifolds: a legacy code approach to low-dimensional computation. Zbl 1203.37005 Gear, C. William; Kevrekidis, Ioannis G. 29 2005 Maintaining solution invariants in the numerical solution of ODEs. Zbl 0614.65076 Gear, C. W. 28 1986 Solving ordinary differential equations with discontinuities. Zbl 0553.65050 Gear, C. W.; Østerby, O. 25 1984 Parallel methods for ordinary differential equations. Zbl 0675.65068 Gear, C. W. 25 1988 The numerical integration of ordinary differential equations. Zbl 0155.20601 Gear, C. W. 24 1967 Stability and convergence of variable order multistep methods. Zbl 0294.65041 Gear, C. W.; Watanabe, D. S. 22 1974 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. 22 2009 Second-order accurate projective integrators for multiscale problems. Zbl 1110.65063 Lee, Steven L.; Gear, C. William 21 2007 Telescopic projective methods for parabolic differential equations. Zbl 1018.65116 Gear, C. W.; Kevrekidis, Ioannis G. 20 2003 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. 20 1989 Runge-Kutta starters for multistep methods. Zbl 0455.65051 Gear, C. W. 19 1980 Coarse projective kMC integration: Forward/reverse initial and boundary value problems. Zbl 1053.65005 Rico-Martínez, R.; Gear, C. W.; Kevrekidis, Ioannis G. 19 2004 The gap-tooth method in particle simulations. Zbl 1031.82024 Gear, C. William; Li, Ju; Kevrekidis, Ioannis G. 18 2003 Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076 Leimkuhler, B.; Petzold, L. R.; Gear, C. W. 18 1991 The stability of numerical methods for second order ordinary differential equations. Zbl 0388.65030 Gear, C. William 16 1978 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. 16 2016 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. 15 1981 Application of coarse integration to bacterial chemotaxis. Zbl 1082.92012 Setayeshgar, S.; Gear, C. W.; Othmer, H. G.; Kevrekidis, I. G. 14 2005 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. 13 2007 Computing the structural index. Zbl 0619.65064 Duff, I. S.; Gear, C. W. 13 1986 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. 12 1992 Manifold learning for parameter reduction. Zbl 1452.37090 Holiday, Alexander; Kooshkbaghi, Mahdi; Bello-Rivas, Juan M.; Gear, C. William; Zagaris, Antonios; Kevrekidis, Ioannis G. 11 2019 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. 9 2007 Does variable step size ruin a symplectic integrator? Zbl 0779.58020 Skeel, Robert D.; Gear, C. W. 9 1992 Massive parallelism across space in ODEs. Zbl 0798.65075 Gear, C. W. 9 1993 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 The potential for parallelism in ordinary differential equations. Zbl 0668.65057 Gear, C. W. 9 1987 Simulation: conflicts between real-time and software. Zbl 0407.68031 Gear, C. W. 8 1977 Parallelism across time in ODEs. Zbl 0798.65076 Gear, C. W.; Xu, Xuhai 8 1993 A simple set of test matrices for eigenvalue programs. Zbl 0182.49101 Gear, C. W. 7 1969 Differential-algebraic equations. Zbl 0567.70002 Gear, C. W. 7 1984 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 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 A graphical search for stiffly stable methods for ordinary differential equations. Zbl 0224.65022 Dill, C.; Gear, C. W. 6 1971 Automatic methods for highly oscillatory ordinary differential equations. Zbl 0475.65050 Gear, C. W.; Gallivan, K. A. 5 1982 Towards explicit methods for differential algebraic equations. Zbl 1102.65089 Gear, C. W. 5 2006 Estimation of errors and derivatives in ordinary differential equations. Zbl 0312.65052 Gear, C. William 5 1974 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 The speed of waveform methods for ODEs. Zbl 0731.65054 Gear, C. W.; Juang, Fen-Lien 5 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. 5 2015 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. 5 2015 Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations. Zbl 0503.65050 Gear, C. W. 4 1982 An introduction to numerical methods for ODEs and DAEs. Zbl 0763.65054 Gear, C. W. 4 1991 Parallel solution of ODEs. Zbl 0763.65055 Gear, C. W. 3 1991 The numerical solution of problems which may have high frequency components. Zbl 0606.70023 Gear, C. W. 3 1984 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 3 1983 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 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 DAEs: ODEs with constraints and invariants. Zbl 0676.65077 Gear, C. W. 1 1989 Manifold learning for parameter reduction. Zbl 1452.37090 Holiday, Alexander; Kooshkbaghi, Mahdi; Bello-Rivas, Juan M.; Gear, C. William; Zagaris, Antonios; Kevrekidis, Ioannis G. 11 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. 16 2016 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. 5 2015 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. 5 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. 22 2009 Second-order accurate projective integrators for multiscale problems. Zbl 1110.65063 Lee, Steven L.; Gear, C. William 21 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. 13 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. 9 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. 55 2005 Constraint-defined manifolds: a legacy code approach to low-dimensional computation. Zbl 1203.37005 Gear, C. William; Kevrekidis, Ioannis G. 29 2005 Application of coarse integration to bacterial chemotaxis. Zbl 1082.92012 Setayeshgar, S.; Gear, C. W.; Othmer, H. G.; Kevrekidis, I. G. 14 2005 Coarse projective kMC integration: Forward/reverse initial and boundary value problems. Zbl 1053.65005 Rico-Martínez, R.; Gear, C. W.; Kevrekidis, Ioannis G. 19 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 216 2003 Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum. Zbl 1034.65056 Gear, C. W.; Kevrekidis, Ioannis G. 73 2003 Telescopic projective methods for parabolic differential equations. Zbl 1018.65116 Gear, C. W.; Kevrekidis, Ioannis G. 20 2003 The gap-tooth method in particle simulations. Zbl 1031.82024 Gear, C. William; Li, Ju; Kevrekidis, Ioannis G. 18 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 77 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 8 1993 Invariants and numerical methods for ODEs. Zbl 0779.34012 Gear, C. W. 12 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 5 1991 An introduction to numerical methods for ODEs and DAEs. Zbl 0763.65054 Gear, C. W. 4 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. 50 1990 s-step iterative methods for symmetric linear systems. Zbl 0669.65021 Chronopoulos, A. T.; Gear, C. W. 44 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. 20 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. 70 1988 Parallel methods for ordinary differential equations. Zbl 0675.65068 Gear, C. W. 25 1988 The potential for parallelism in ordinary differential equations. Zbl 0668.65057 Gear, C. W. 9 1987 Maintaining solution invariants in the numerical solution of ODEs. Zbl 0614.65076 Gear, C. W. 28 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. 115 1985 ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053 Gear, C. W.; Petzold, L. R. 105 1984 Multirate linear multistep methods. Zbl 0555.65046 Gear, C. W.; Wells, D. R. 88 1984 Solving ordinary differential equations with discontinuities. Zbl 0553.65050 Gear, C. W.; Østerby, O. 25 1984 Differential-algebraic equations. Zbl 0567.70002 Gear, C. W. 7 1984 The numerical solution of problems which may have high frequency components. Zbl 0606.70023 Gear, C. W. 3 1984 Iterative solution of linear equations in ODE codes. Zbl 0541.65051 Gear, C. W.; Saad, Y. 36 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 3 1983 Automatic methods for highly oscillatory ordinary differential equations. Zbl 0475.65050 Gear, C. W.; Gallivan, K. A. 5 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. 15 1981 Runge-Kutta starters for multistep methods. Zbl 0455.65051 Gear, C. W. 19 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. 48 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. 47 1974 Stability and convergence of variable order multistep methods. Zbl 0294.65041 Gear, C. W.; Watanabe, D. S. 22 1974 Estimation of errors and derivatives in ordinary differential equations. Zbl 0312.65052 Gear, C. William 5 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 425 1971 The automatic integration of ordinary differential equations. Zbl 0217.21701 Gear, C. W. 334 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. 36 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. 24 1967 Hybrid methods for initial value problems in ordinary differential equations. Zbl 0173.44403 Gear, C. W. 60 1965 all cited Publications top 5 cited Publications all top 5 Cited by 2,771 Authors 57 Kevrekidis, Ioannis George 22 Gear, Charles William 21 Shampine, Lawrence Fred 20 Siettos, Constantinos I. 16 Campbell, Stephen LaVern 16 Samaey, Giovanni 15 Arnold, Martin 14 Zlatev, Zahari 13 Butcher, John C. 13 Jator, Samuel N. 12 März, Roswitha 12 Petzold, Linda Ruth 12 Sandu, Adrian 11 Engquist, Bjorn E. 10 Cash, Jeff R. 10 Günther, Michael 10 Mehrmann, Volker 10 Roberts, Anthony John 10 Suleiman, Mohamed Bin 10 Wang, Junjun 9 Gerdts, Matthias 9 Ikhile, Monday Ndidi Oziegbe 9 Karniadakis, George Em 9 Kutz, J. Nathan 9 Lamour, René 9 Söderlind, Gustaf 8 Attia, Hazem Ali 8 Bunder, Judith E. 8 Burrage, Kevin 8 Carson, Erin Claire 8 Goussis, Dimitris A. 8 Pishbin, Saeed 8 Russo, Lucia 7 Abdulle, Assyr 7 Calvo, Manuel 7 Jackiewicz, Zdzislaw 7 Montijano, Juan Ignacio 7 Rández, Luis 7 Roberts, Sanford M. 7 Skeel, Robert D. 7 Xiu, Dongbin 6 Bartel, Andreas 6 Blajer, Wojciech 6 Brunton, Steven L. 6 Cardona, Alberto 6 Chronopoulos, Anthony Theodore 6 Hairer, Ernst 6 Kacewicz, Bolesław Z. 6 Kunkel, Peter 6 Okunuga, Solomon A. 6 Roose, Dirk 6 Simeon, Bernd 6 Talmon, Ronen 6 Tamma, Kumar K. 6 Tischendorf, Caren 6 Tsai, Yen-Hsi Richard 6 Vabishchevich, Pëtr Nikolaevich 6 van der Houwen, Pieter J. 6 Weiner, Rüdiger 6 Wu, Xinyuan 5 Abdi, Ali 5 Ariel, Gil 5 Axelsson, Axel Owe Holger 5 Betsch, Peter 5 Brüls, Olivier 5 Clark, Kenneth D. 5 Constantinescu, Emil M. 5 Dietrich, Felix 5 Duran, Angel 5 Enright, Wayne H. 5 Erban, Radek 5 Flaherty, Joseph E. 5 Hosseini, Mohammad-Mehdi 5 Kavousanakis, Michail E. 5 Lebiedz, Dirk 5 Liu, Xingping 5 Lu, Daixing 5 Lubich, Christian 5 Mattheij, Robert M. M. 5 Mazzia, Francesca 5 Ngwane, Fidele F. 5 Runborg, Olof 5 Sanz-Serna, Jesús María 5 Schweizer, Bernhard 5 Shi, Dongyang 5 Sommeijer, Ben P. 5 Trenchea, Catalin 5 Valorani, Mauro 5 Vanroose, Wim 5 Yee, Helen C. 5 Zhang, Zhiwen 5 Zhou, Xiangmin 5 Zielinski, Przemyslaw 4 Abdulganiy, Ridwanulahi Iyanda 4 Acary, Vincent 4 Allahviranloo, Tofigh 4 Altmann, Robert 4 Ambrósio, Jorge A. C. 4 Bayram, Mustafa 4 Berkowicz, Ruwim ...and 2,671 more Authors all top 5 Cited in 279 Serials 182 Journal of Computational Physics 118 Journal of Computational and Applied Mathematics 115 Applied Numerical Mathematics 93 Computer Methods in Applied Mechanics and Engineering 81 Applied Mathematics and Computation 55 Computers & Mathematics with Applications 45 Numerische Mathematik 42 Mathematics of Computation 38 SIAM Journal on Scientific Computing 37 Numerical Algorithms 34 BIT 34 International Journal of Computer Mathematics 28 International Journal for Numerical Methods in Engineering 28 Journal of Scientific Computing 28 Multibody System Dynamics 26 Applied Mathematical Modelling 25 Computing 25 Physica D 22 Mathematics and Computers in Simulation 21 Computer Physics Communications 20 Linear Algebra and its Applications 19 Journal of Optimization Theory and Applications 19 BIT. Nordisk Tidskrift for Informationsbehandling 18 Computational and Applied Mathematics 18 Multiscale Modeling & Simulation 17 Computers and Fluids 17 Mathematical Biosciences 16 Journal of Mathematical Biology 15 Nonlinear Dynamics 15 Chaos 13 Bulletin of Mathematical Biology 12 Circuits, Systems, and Signal Processing 12 SIAM Journal on Applied Dynamical Systems 11 Journal of Mathematical Analysis and Applications 11 Computational Mechanics 11 Mathematical and Computer Modelling 10 Journal of the Franklin Institute 10 Automatica 10 Calcolo 10 Numerical Linear Algebra with Applications 9 SIAM Journal on Numerical Analysis 9 Applied Mathematics Letters 9 Communications in Nonlinear Science and Numerical Simulation 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Journal of Computational Dynamics 8 Combustion Theory and Modelling 7 Physics Letters. A 7 Mathematical Problems in Engineering 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 5 Journal of the Nigerian Mathematical Society 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Mathematical Chemistry 5 Computing and Visualization in Science 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Afrika Matematika 5 Journal of Theoretical Biology 5 International Journal of Applied and Computational Mathematics 4 International Journal for Numerical Methods in Fluids 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Physica A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Molecular Simulation 4 Journal of Differential Equations 4 Numerical Methods for Partial Differential Equations 4 SIAM Review 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 Applied and Computational Harmonic Analysis 4 Advances in Computational Mathematics 4 Journal of Computational Neuroscience 4 European Journal of Mechanics. A. Solids 4 Computational Geosciences 4 Archives of Computational Methods in Engineering 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 Advances in Difference Equations 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 Moscow University Mathematics Bulletin 3 Physics of Fluids 3 ACM Transactions on Mathematical Software 3 Meccanica 3 Journal of Symbolic Computation 3 Journal of Complexity 3 MCSS. Mathematics of Control, Signals, and Systems 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Computational Mathematics and Mathematical Physics 3 Cybernetics and Systems Analysis 3 Journal of Vibration and Control ...and 179 more Serials all top 5 Cited in 47 Fields 1,285 Numerical analysis (65-XX) 578 Ordinary differential equations (34-XX) 242 Fluid mechanics (76-XX) 231 Partial differential equations (35-XX) 168 Mechanics of particles and systems (70-XX) 144 Biology and other natural sciences (92-XX) 136 Mechanics of deformable solids (74-XX) 135 Dynamical systems and ergodic theory (37-XX) 101 Computer science (68-XX) 95 Systems theory; control (93-XX) 72 Statistical mechanics, structure of matter (82-XX) 70 Classical thermodynamics, heat transfer (80-XX) 54 Probability theory and stochastic processes (60-XX) 43 Integral equations (45-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 29 Statistics (62-XX) 29 Geophysics (86-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 25 Operations research, mathematical programming (90-XX) 23 Optics, electromagnetic theory (78-XX) 21 Information and communication theory, circuits (94-XX) 18 Quantum theory (81-XX) 14 Approximations and expansions (41-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Operator theory (47-XX) 8 Real functions (26-XX) 7 History and biography (01-XX) 7 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 6 Differential geometry (53-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) 2 Mathematical logic and foundations (03-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-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 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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