Improved ADI scheme for linear hyperbolic equations: extension to nonlinear cases and compact ADI schemes

DOI10.1007/s10915-017-0366-2zbMath1377.65113OpenAlexW2580059061MaRDI QIDQ1676903

Geng Zhang, Yong Du, Dan Cai

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0366-2

zbMATH Keywords

finite difference methodnonlinearnumerical stabilitylinearnumerical experimenthyperbolic equationsboundary conditionalternating direction implicit schemesnumerical efficiency

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) 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)

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