A spectral method for the time evolution in parabolic problems

DOI10.1007/s10915-005-9001-8zbMath1129.65073OpenAlexW2062502986MaRDI QIDQ861716

A. Y. Suhov

Publication date: 30 January 2007

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-005-9001-8

zbMATH Keywords

stabilityparabolic initial-boundary value problemspectral methodsChebyshev expansionexponential time differencing methodsquasi-linear parabolic evolution problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for higher-order parabolic equations (35K30)

Related Items (10)

A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation ⋮ Spectral collocation in space and time for linear PDEs ⋮ Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation ⋮ New analysis of the Du Fort-Frankel methods ⋮ Efficient inversion of matrix \(\varphi \)-functions of low order ⋮ Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives ⋮ Space-time spectral method for the Stokes problem ⋮ Chebyshev spectral collocation in space and time for the heat equation ⋮ An accurate polynomial approximation of exponential integrators ⋮ An accurate approximation of exponential integrators for the Schrödinger equation

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