Convergence analysis of Krylov subspace spectral methods for reaction-diffusion equations

DOI10.1007/s10915-018-0824-5zbMath1502.65164OpenAlexW2889993509MaRDI QIDQ1999884

Somayyeh Sheikholeslami, James V. Lambers, Carley Walker

Publication date: 27 June 2019

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

Full work available at URL: https://doi.org/10.1007/s10915-018-0824-5

zbMATH Keywords

Gauss quadratureLanczos algorithmspectral methodsFRAPphotobleaching kinetics equation

Mathematics Subject Classification ID

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)

Cites Work

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• Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method
• Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
• Solution of time-dependent PDE through rapid estimation of block Gaussian quadrature nodes
• Spectral Methods for Time-Dependent Problems
• A Spectral Time-Domain Method for Computational Electrodynamics

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