HPS accelerated spectral solvers for time dependent problems. I: Algorithms

DOI10.1007/978-3-030-39647-3_11zbMath1484.65243OpenAlexW3048656786MaRDI QIDQ2054310

Tracy Babb, Daniel Appelö, Per-Gunnar Martinsson

Publication date: 2 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-39647-3_11

zbMATH Keywords

Schrödinger equationBurgers' equationRunge-Kutta methodshierarchial Poincaré-Steklov (HSP) solver

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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