Numerical solutions in chromatography using large time step and overlapping grids methods

DOI10.1007/s40314-020-01282-9zbMath1463.65266OpenAlexW3048017626MaRDI QIDQ2204159

Ilija Jegdić

Publication date: 15 October 2020

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01282-9

zbMATH Keywords

hyperbolic conservation lawslarge time stepfinite volumeoverlapping gridschromatography

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Exact delta shock wave solution to the Riemann problem for the three-component chromatography model

Cites Work

• Singular shocks in a chromatography model
• One-dimensional nonlinear chromatography system and delta-shock waves
• The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Spaces of weighted measures for conservation laws with singular shock solutions
• Interactions of delta shock waves for the chromatography equations
• Delta shock waves for the chromatography equations as self-similar viscosity limits
• Singular shock waves in interactions
• One-Sided Difference Approximations for Nonlinear Conservation Laws
• H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
• Distribution solutions of nonlinear systems of conservation laws
• Systems of conservation laws
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