Optimal error estimates of a locally one-dimensional method for the multidimensional heat equation

DOI10.1007/BF02305177zbMath0896.65059OpenAlexW2021493267MaRDI QIDQ1387313

S. B. Zajtseva, Alexander Zlotnik

Publication date: 23 September 1998

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02305177

zbMATH Keywords

difference schemesoptimal error estimateslocally one-dimensional methodmultidimensional heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

The convergence and stability of splitting finite-difference schemes for nonlinear evolutionary equations ⋮ Efficient iterative method for solving optimal control problem governed by diffusion equation with time fractional derivative

Cites Work

• Alternating Direction Methods on Multiprocessors
• The rate of convergence of a difference scheme using the sun approximation method for generalized solutions
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