Software considerations for the “black box” solver FIDISOL for partial differential equations

DOI10.1145/35078.35080zbMath0636.65109OpenAlexW2062049344MaRDI QIDQ3776553

Eric Schnepf, Willi Schönauer

Publication date: 1987

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/1987-13/

zbMATH Keywords

consistencyfinite difference methoderror controlstep size controlvectorizationorder controlprogram packagevector computersFIDISOLself-adaptive difference method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

Exploring the small mass limit of stationary black holes in theories with Gauss–Bonnet terms ⋮ Efficient vectorizable PDE solvers ⋮ A new approach and code for spinning black holes in modified gravity ⋮ Abelian Hopfions of the \(\mathbb{CP}^n\) model on \(\mathbb{R}^{2n+1}\) and a fractionally powered topological lower bound ⋮ \(d=4+1\) gravitating non-abelian solutions with bi-azimuthal symmetry ⋮ Self-dual instanton and non-self-dual instanton-antiinstanton solutions in \(\mathrm{SU}(2)\) Yang-Mills theory ⋮ Computing brine transport in porous media with an adaptive‐grid method

Uses Software

• FIDISOL