Generalized convolution quadrature based on Runge-Kutta methods

DOI10.1007/s00211-015-0761-2zbMath1348.65181OpenAlexW1200686439MaRDI QIDQ303646

Maria Lopez-Fernandez, Stefan A. Sauter

Publication date: 22 August 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/124958/1/06_14.pdf

zbMATH Keywords

Runge-Kutta methodconvolution equationstability function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for inverse problems for integral equations (65R32)

Related Items (8)

A posteriori error analysis for approximations of time-fractional subdiffusion problems ⋮ Convolution quadrature for the wave equation with impedance boundary conditions ⋮ A convolution quadrature using derivatives and its application ⋮ Runge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equations ⋮ Numerical solutions of viscoelastic bending wave equations with two term time kernels by Runge-Kutta convolution quadrature ⋮ Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods ⋮ An overview on a time discrete convolution -- space collocation BEM for 2D exterior wave propagation problems ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation

Uses Software

• RODAS

Cites Work

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