Algorithms composition approach based on difference potentials method for parabolic problems

DOI10.4310/CMS.2014.v12.n4.a7zbMath1305.65184OpenAlexW2326040821MaRDI QIDQ471967

Yekaterina Epshteyn

Publication date: 18 November 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2014.v12.n4.a7

zbMATH Keywords

heat equationnumerical examplesdomain decompositionparabolic equationfinite differenceparallel computationscurvilinear boundariesCartesian meshesalgorithms compositionCalderon's boundary equations with projectionsCalderon's potentialscomplex and composite domainsdifference potentials methods

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (11)

High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces ⋮ High order numerical simulation of the transmission and scattering of waves using the method of difference potentials ⋮ High-order numerical methods for 2D parabolic problems in single and composite domains ⋮ Difference potentials method for models with dynamic boundary conditions and bulk-surface problems ⋮ Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials ⋮ A method of boundary equations for unsteady hyperbolic problems in 3D ⋮ Numerical method and convergence order for second-order impulsive differential equations ⋮ On the Solution of the Elliptic Interface Problems by Difference Potentials Method ⋮ Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D ⋮ High-order difference potentials methods for 1D elliptic type models ⋮ High-order accurate difference potentials methods for parabolic problems

Uses Software

• IIMPACK

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