Numerical stability in the presence of variable coefficients

DOI10.1007/s10208-015-9263-yzbMath1347.65144OpenAlexW1966396299MaRDI QIDQ300891

Arieh Iserles, Ernst Hairer

Publication date: 29 June 2016

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-015-9263-y

zbMATH Keywords

stabilityfinite difference methodsorder conditionsconvection-diffusion equationsskew-symmetric differentiation matrices

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical differentiation (65D25)

Related Items (8)

High-order skew-symmetric differentiation matrix on symmetric grid ⋮ Approximation of wave packets on the real line ⋮ A nonconventional stability approach for a nonlinear Crank-Nicolson method solving degenerate Kawarada problems ⋮ An endeavor from the Glowinski-Le Tallec splitting for approximating the solution of Kawarada equation ⋮ The joy and pain of skew symmetry ⋮ Orthogonal systems with a skew-symmetric differentiation matrix ⋮ A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix ⋮ A stable, positivity-preserving scheme for cross-diffusion source term in RANS turbulence models: application to \(k\)-\(\omega\) turbulence models

Uses Software

• Eigtool

Cites Work

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