Keyword

linear multistep methods

Description: Linear multistep methods are numerical techniques for approximating solutions to ordinary differential equations using values from multiple successive steps.

Primary topic: Numerical methods for differential equations (82%)

Wikidata ID: wiki/Q1462003

OpenAlex ID: keywords/linear-multistep-methods

Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

1995 · K. E. Brenan, S. L. Campbell, et al. · Society for Industrial and Applied Mathematics eBooks · 3,411

SUNDIALS

2005 · Alan C. Hindmarsh, Peter N. Brown, et al. · ACM Transactions on Mathematical Software · 2,561

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A special stability problem for linear multistep methods

1963 · Germund G. Dahlquist · BIT Numerical Mathematics · 1,274

Numerical Methods for Ordinary Differential Systems: The Initial Value Problem

1991 · J. D. Lambert · 1,011

Discretized Fractional Calculus

1986 · Ch. Lubich · SIAM Journal on Mathematical Analysis · 982

Convolution quadrature and discretized operational calculus. I

1988 · C. Lubich · Numerische Mathematik · 727

Convergence of the generalized-α scheme for constrained mechanical systems

2007 · Martin Arnold, Olivier Brüls · Multibody System Dynamics · 432

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P-stable linear symmetric multistep methods for periodic initial-value problems

2005 · Zhongcheng Wang · Computer Physics Communications · 310

Chebyshevian multistep methods for ordinary differential equations

1972 · Tom Lyche · Numerische Mathematik · 290

Multirate linear multistep methods

1984 · C. W. Gear, D. R. Wells · BIT Numerical Mathematics · 271

Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations

2005 · D. Breda, S. Maset, et al. · SIAM Journal on Scientific Computing · 257

An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations

1975 · K. C. Park · Journal of Applied Mechanics · 246

Numerical methods for ordinary differential equations in the 20th century

2000 · J.C. Butcher · Journal of Computational and Applied Mathematics · 230

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Non-linear stability of a general class of differential equation methods

1980 · Kevin Burrage, J. C. Butcher · BIT Numerical Mathematics · 222

G-stability is equivalent toA-stability

1978 · Germund Dahlquist · BIT Numerical Mathematics · 221

P-stability and exponential-fitting methods for y'' = f(x,y)

1996 · J. Coleman · IMA Journal of Numerical Analysis · 212

Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics

2003 · X. Zhou, K. K. Tamma · International Journal for Numerical Methods in Engineering · 196

Pseudo Numerical Methods for Diffusion Models on Manifolds

2022 · Liu, Luping, Ren, Yi, et al. · arXiv (Cornell University) · 188

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General linear methods for ordinary differential equations

2007 · John Butcher · Mathematics and Computers in Simulation · 188

High-order P-stable multistep methods

1990 · J.M. Franco, M. Palacios · Journal of Computational and Applied Mathematics · 183

On the stability of implicit-explicit linear multistep methods

1997 · J. Frank, W. Hundsdorfer, et al. · Applied Numerical Mathematics · 182

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Unconditionally stable methods for second order differential equations

1979 · E. Hairer · Numerische Mathematik · 161

Behind and beyond the Matlab ODE suite

2000 · R. Ashino, M. Nagase, et al. · Computers & Mathematics with Applications · 150

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Numerical Simulation of Time-Dependent Contact and Friction Problems in Rigid Body Mechanics

1984 · Per Lötstedt · SIAM Journal on Scientific and Statistical Computing · 139

On accuracy and unconditional stability of linear multistep methods for second order differential equations

1978 · Germund Dahlquist · BIT Numerical Mathematics · 132

Works count: 1,269

Citation count: 25,900