Semi-implicit integral deferred correction constructed with additive Runge-Kutta methods

DOI10.4310/CMS.2011.v9.n3.a10zbMath1271.65109MaRDI QIDQ357481

Jing-Mei Qiu, Andrew J. Christlieb, Maureen Morton, Benjamin W. Ong

Publication date: 30 July 2013

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsimplicit-explicit methodsadditive Runge-Kutta methodsdefect correction methodsintegral deferred correction methodssemi-implicit methodsspectral deferred correction methodsstiff initial value problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

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High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations ⋮ A spectral deferred correction method for incompressible flow with variable viscosity ⋮ Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ Asymptotic error analysis of an IMEX Runge-Kutta method ⋮ High order operator splitting methods based on an integral deferred correction framework ⋮ A fast and stable algorithm for linear parabolic partial differential equations ⋮ Deferred correction methods for ordinary differential equations ⋮ Implicit parallel time integrators ⋮ Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear Pdes ⋮ Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems ⋮ Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations ⋮ Low-Storage Integral Deferred Correction Methods for Scientific Computing ⋮ A Class of Exponential Integrators Based on Spectral Deferred Correction ⋮ A multi-level spectral deferred correction method ⋮ Error estimates of the integral deferred correction method for stiff problems ⋮ On the convergence of spectral deferred correction methods

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