The Lanczos optimization of a splitting-up method to solve homogeneous evolutionary equations

DOI10.1016/0377-0427(92)90076-AzbMath0770.65044MaRDI QIDQ1200188

Vladimir Druskin, Leonid Knizhnerman

Publication date: 17 January 1993

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

zbMATH Keywords

Cauchy problemnumerical experimentsLanczos methodevolutionary equationssplitting methodsalternating direction difference schemeseigenproblem for symmetrical matrices

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

On application of the Lanczos method to solution of some partial differential equations

Cites Work

• An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Lanczos method for heat conduction analysis
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