Part IV Parallel algorithms for partial differential equations

DOI10.1007/BF02925098zbMath0840.65088OpenAlexW4242712664MaRDI QIDQ4866736

David J. Evans

Publication date: 30 June 1996

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925098

zbMATH Keywords

stabilitysecond-order parabolic equationsoperator splittingparallel algorithmsCrank-Nicolson methodAGE methodalternating group explicit iterative method

Mathematics Subject Classification ID

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) Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Shape Optimization for Variational Inequalities of Obstacle Type: Regularized and Unregularized Computational Approaches ⋮ Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics ⋮ Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains ⋮ THE EFFECTS OF INVASIVE EPIBIONTS ON CRAB–MUSSEL COMMUNITIES: A THEORETICAL APPROACH TO UNDERSTAND MUSSEL POPULATION DECLINE ⋮ Peano's kernel theorem for vector-valued functions and some applications ⋮ Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints ⋮ Suitable spaces for shape optimization ⋮ A shape optimization algorithm for interface identification allowing topological changes

Cites Work

• The Numerical Solution of Parabolic and Elliptic Differential Equations
• The Solution of Two-Point Boundary Value Problems by the Alternating Group Explicit (AGE) Method

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