HPS accelerated spectral solvers for time dependent problems. II: Numerical experiments

DOI10.1007/978-3-030-39647-3_9zbMath1484.65242arXiv1811.04555OpenAlexW3048586144MaRDI QIDQ2054308

Tracy Babb, Per-Gunnar Martinsson, Daniel Appelö

Publication date: 2 December 2021

Full work available at URL: https://arxiv.org/abs/1811.04555

zbMATH Keywords

Schrödinger equationBurgers' equationRunge-Kutta methodhierarchial Poincaré-Steklov (HPS) method

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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