The Dynamics of the Theta Method

DOI10.1137/0912074zbMath0737.65061OpenAlexW1977656453MaRDI QIDQ3982110

Andrew M. Stuart, Andrew T. Peplow

Publication date: 26 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/78155/

zbMATH Keywords

spurious solutionstime discretizationtheta methodsemi-linear parabolic equationsasymptotic instabilitiesdynamics of numerical methodssemiimplicit procedurespurious asymptotic states

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (6)

Basic Concepts of Numerical Analysis of Stochastic Differential Equations Explained by Balanced Implicit Theta Methods ⋮ Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay ⋮ Transient source current formulation for the analysis of arbitrarily shaped dielectric/conducting composite structures ⋮ DYNAMICS OF LINEAR MULTISTEP METHODS FOR DELAY DIFFERENTIAL EQUATIONS ⋮ Theta Method Dynamics ⋮ Spurious behavior of a symplectic integrator

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