Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments

DOI10.1137/18M1180748zbMath1516.65066arXiv1804.04985WikidataQ128724096 ScholiaQ128724096MaRDI QIDQ6300325

Espen R. Jakobsen, Félix del Teso, Jørgen Endal

Publication date: 13 April 2018

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Numerical methods for integral equations (65R20) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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