A convergent numerical algorithm for \(\alpha\)-dissipative solutions of the Hunter-Saxton equation
DOI10.1007/s10915-024-02479-4arXiv2303.08763MaRDI QIDQ6196229
Thomas Christiansen, Susanne Solem, Anders Nordli, Katrin Grunert
Publication date: 14 March 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.08763
convergencenumerical methodprojection operatorHunter-Saxton equationconservative solutions\(\alpha\)-dissipative solutions
PDEs in connection with fluid mechanics (35Q35) 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) Liquid crystals (76A15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite difference methods for boundary value problems involving PDEs (65N06) Weak solutions to PDEs (35D30) Integro-partial differential equations (35R09)
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