Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature

DOI10.2307/2153158zbMath0795.65062OpenAlexW4248693355MaRDI QIDQ4293960

Christian Lubich, Alexander Ostermann

Publication date: 10 July 1994

Full work available at URL: https://doi.org/10.2307/2153158

zbMATH Keywords

Laplace transformconvergenceincompressible Navier-Stokes equationsintegral equationserror boundssemilinear parabolic equationsconvolution integralsconvolution quadraturesRunge-Kutta time discretizationsdiscrete operational calculus

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Numerical methods for integral equations (65R20) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Discrete operational calculus (44A55)

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Uses Software

• RODAS

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