Galerkin/Runge–Kutta Discretizations for Semilinear Parabolic Equations

DOI10.1137/0727024zbMath0697.65083OpenAlexW2058396451MaRDI QIDQ3474862

Stephen L. Keeling

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727024

zbMATH Keywords

error estimatesparallel computingcomputational resultsorder reductionhigh-order convergencefully discrete Galerkin/Runge-Kutta methodssemilinear initial-boundary value problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Fully discrete methods for the nonlinear Schrödinger equation ⋮ Error estimates for single step fully discrete approximations for nonlinear second order hyperbolic equations ⋮ Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation ⋮ High-order adaptive finite element-singly implicit Runge-Kutta methods for parabolic differential equations ⋮ Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature ⋮ Linearly implicit methods for nonlinear parabolic equations ⋮ Rational methods with optimal order of convergence for partial differential equations ⋮ Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems ⋮ Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

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