Fully Discrete Approximation Methods for Parabolic Poblems with Nonsmooth Initial Data

DOI10.1137/0720031zbMath0523.65069OpenAlexW2074805015MaRDI QIDQ3673983

P. H. Sammon

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0720031

zbMATH Keywords

error estimateGalerkin methodstime dependent coefficientsnonsmooth initial datafully discrete methodsbackwards differentiation multistep methodscombined space-time discretization scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Comparing the performance of linear and nonlinear principal components in the context of high-dimensional genomic data integration ⋮ Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems ⋮ Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping ⋮ Weak Galerkin Finite Element Methods for Parabolic Problems With $L^2$ Initial Data ⋮ Subdiffusion with a time-dependent coefficient: Analysis and numerical solution ⋮ Cosine methods for nonlinear second-order hyperbolic equations ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data ⋮ On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data ⋮ On the smoothing property of the crank-nicolson scheme ⋮ Finite element solution of diffusion problems with irregular data ⋮ Cosine Methods for Nonlinear Second-Order Hyperbolic Equations ⋮ Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control