High-order accurate difference potentials methods for parabolic problems

DOI10.1016/j.apnum.2014.08.002zbMath1326.65103OpenAlexW2003261837MaRDI QIDQ2343596

Jason Albright, Yekaterina Epshteyn, Kyle R. Steffen

Publication date: 6 May 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.7689

zbMATH Keywords

heterogeneous mediaparallel algorithmsimmersed interface methodvariable coefficientsparabolic problemsnon-matching gridsboundary projectionsdifference potentialshigh-order finite difference schemesdifference potentials methodCauchy's type integralinterface/composite domain problemsnon-matching interface conditions

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)

Related Items (13)

High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces ⋮ Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity ⋮ High-order numerical methods for 2D parabolic problems in single and composite domains ⋮ Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients ⋮ Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces ⋮ 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 ⋮ Spectral element method for parabolic interface problems ⋮ Unnamed Item ⋮ A method of boundary equations for unsteady hyperbolic problems in 3D ⋮ On the Solution of the Elliptic Interface Problems by Difference Potentials Method ⋮ Meshless and multi-resolution collocation techniques for parabolic interface models

Uses Software

• IIMPACK

Cites Work

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