A high-order meshless Galerkin method for semilinear parabolic equations on spheres

DOI10.1007/s00211-018-01021-7zbMath1411.65130OpenAlexW2912564288MaRDI QIDQ1740640

Joseph D. Ward, Holger Wendland, Francis J. Narcowich, Jens Künemund

Publication date: 2 May 2019

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-018-01021-7

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Semilinear parabolic equations (35K58)

Related Items

Error analysis of an implicit Galerkin meshfree scheme for general second-order parabolic problems, A Kernel-Based Meshless Conservative Galerkin Method for Solving Hamiltonian Wave Equations, A radial basis function approximation method for conservative Allen-Cahn equations on surfaces, A Kernel-Based Least-Squares Collocation Method for Surface Diffusion, Solving partial differential equations on (evolving) surfaces with radial basis functions, Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs

Uses Software

• Matlab

Cites Work

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