Algorithm 758: VLUGR2

DOI10.1145/232826.232850zbMath0884.65094OpenAlexW2064069759WikidataQ113310384 ScholiaQ113310384MaRDI QIDQ4371099

R. A. Trompert, Joke G. Blom, Jan G. Verwer

Publication date: 2 April 1998

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1996-22/

zbMATH Keywords

method of linesnonsymmetric sparse linear systemsadaptive-grid finitedifference solverANSI Fortran 77 codegroundwater-flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots, Cops-on-the-dots: The linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime, Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain, Zigzag and Breakup Instabilities of Stripes and Rings in the Two‐Dimensional Gray–Scott Model, Tensor-product adaptive grids based on coordinate transformations., Unstable van der Waals driven line rupture in Marangoni driven thin viscous films, How we solve PDEs, A simple numerical approach for assessing coupled transport processes in partitioning systems, Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol, Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems, VLUGR2, Designing an efficient solution strategy for fluid flows. II: Stable high-order central finite difference schemes on composite adaptive grids with sharp shock resolution