Meshfree semi-Lagrangian methods for solving surface advection PDEs

DOI10.1007/s10915-022-01966-wzbMath1497.65132OpenAlexW4292651623WikidataQ114225527 ScholiaQ114225527MaRDI QIDQ2674280

A. Petras, Steven J. Ruuth, Leevan Ling

Publication date: 22 September 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01966-w

zbMATH Keywords

radial basis functionssemi-Lagrangian methodclosest point methodsurface conservation laws

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Geometric theory, characteristics, transformations in context of PDEs (35A30) Methods of ordinary differential equations applied to PDEs (35A24) Pattern formations in context of PDEs (35B36) Numerical radial basis function approximation (65D12)

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