On the Roles of "Stability" and "Convergence" in Semidiscrete Projection Methods for Initial-Value Problems

DOI10.2307/2006224zbMath0424.65044OpenAlexW4232363795MaRDI QIDQ3859212

Seymour V. Parter

Publication date: 1980

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

Full work available at URL: http://digital.library.wisc.edu/1793/58048

zbMATH Keywords

semigroupsinitial value problemBanach spacelinear operatorLaplace transform methodssemidiscrete numerical methods

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for linear higher-order PDEs (35G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order parabolic equations (35K25)

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An error propagation in the numerical literature ⋮ The Trotter-Kato theorem and approximation of PDEs ⋮ Progress in computational physics

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