Compact Difference Schemes for the Diffusion and Schröodinger Equations Approximation, Stability, Convergence, Effectiveness, Monotony

DOI10.4208/jcm.1403-CR14zbMath1313.65214MaRDI QIDQ5499144

Eugeny A. Tsymbalov, Vladimir A. Gordin

Publication date: 11 February 2015

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

zbMATH Keywords

Cauchy problemnumerical experimentsdiffusion equationSchrödinger equationorder of convergencestabilitiescompact difference schemesmonotonyoptimal Courant numberpairs of test functions

Mathematics Subject Classification ID

Heat equation (35K05) 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) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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