A non-stiff summation-by-parts finite difference method for the scalar wave equation in second order form: characteristic boundary conditions and nonlinear interfaces

DOI10.1007/s10915-022-01961-1zbMath1497.65121arXiv2106.00706OpenAlexW4293567396WikidataQ113901114 ScholiaQ113901114MaRDI QIDQ2674163

Brittany A. Erickson, Tobias Harvey, Jeremy Edward Kozdon

Publication date: 22 September 2022

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

Full work available at URL: https://arxiv.org/abs/2106.00706

zbMATH Keywords

second-order wave equationnon-stiffsummation-by-partscharacteristic variables

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Finite difference methods for boundary value problems involving PDEs (65N06) First-order hyperbolic equations (35L02)

Related Items (1)

Simulation of flexural-gravity wave propagation for elastic plates in shallow water using an energy-stable finite difference method with weakly enforced boundary and interface conditions

Uses Software

• Julia

Cites Work

• Unnamed Item
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