On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation

DOI10.1007/S00574-016-0130-5zbMath1338.65223OpenAlexW2335605885MaRDI QIDQ285332

Luis Miguel Villada, Raimund Bürger, Sebastiano Boscarino, Pep Mulet

Publication date: 19 May 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0130-5

zbMATH Keywords

numerical examplesemidiscretizationdegenerate convection-diffusion equationsimplicit-explicit Runge-Kutta schemeslinearly implicit methodspolydisperse sedimentation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Suspensions (76T20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Geological problems (86A60)

Related Items (11)

All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics ⋮ When and how to split? A comparison of two IMEX splitting techniques for solving advection-diffusion-reaction equations ⋮ High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics ⋮ Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography ⋮ High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives ⋮ A multilayer shallow water approach for polydisperse sedimentation with sediment compressibility and mixture viscosity ⋮ A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system ⋮ A comparative analysis of explicit, IMEX and implicit strong stability preserving Runge-Kutta schemes ⋮ Numerical solution of a multi-class model for batch settling in water resource recovery facilities ⋮ Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour ⋮ High order semi-implicit multistep methods for time-dependent partial differential equations

Uses Software

• RODAS

Cites Work

• High order semi-implicit schemes for time dependent partial differential equations
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• On the implementation of WENO schemes for a class of polydisperse sedimentation models
• Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
• Some techniques for improving the resolution of finite difference component-wise WENO schemes for polydisperse sedimentation models
• Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models
• High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems
• Solving Ordinary Differential Equations I
• Neumann Problems for Quasi-linear Parabolic Systems Modeling Polydisperse Suspensions
• Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
• Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems

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