On the contractivity of implicit-explicit linear multistep methods

DOI10.1016/S0168-9274(01)00151-9zbMath1001.65090OpenAlexW2015218960MaRDI QIDQ1612458

Karel J. in 't Hout

Publication date: 22 August 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00151-9

zbMATH Keywords

stabilitynumerical examplesinitial value problemsstiff systemscontractivityimplicit-explicit linear multistep methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems, Stability of ADI schemes applied to convection--diffusion equations with mixed derivative terms, Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations, Operator splitting schemes for the two-asset Merton jump-diffusion model, Canonical Euler splitting method for nonlinear composite stiff evolution equations, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Stability analysis of implicit-explicit \(\theta\)-methods for composite stiff neutral functional differential equations in Banach space, Implicit-explicit one-leg methods for nonlinear stiff neutral equations, Additive Runge-Kutta schemes for convection-diffusion-reaction equations

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