Summation-by-Parts Approximations of the Second Derivative: Pseudoinverse and Revisitation of a High Order Accurate Operator

DOI10.1137/20M1379083zbMath1483.65132arXiv2011.03776OpenAlexW3205075084WikidataQ114074136 ScholiaQ114074136MaRDI QIDQ5164011

Sofia Eriksson, Si Yang Wang

Publication date: 9 November 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03776

zbMATH Keywords

finite difference methodssingular operatorsfree parameterpseudoinversessummation-by-parts

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

An energy-based summation-by-parts finite difference method for the wave equation in second order form ⋮ A Finite Difference–Discontinuous Galerkin Method for the Wave Equation in Second Order Form

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