FIDISOL swMATH ID: 288 Software Authors: Schönauer, Willi; Schnepf, Eric Description: FIDISOL (Finite difference solver) is a program package for the solution of nonlinear systems of 2-D and 3-D elliptic and parabolic differential equations subject to arbitrary nonlinear boundary conditions on a rectangular domain. The solution method is a variable stepsize/variable order finite difference method. This paper is a survey of the project at the University of Karlsruhe in which the principles of developing a fully vectorized program package designed as a data flow algorithm for vector computers are obtained. Included are iterative solvers for large sparse linear systems. For details the reader is referred to a paper by the authors and {\it H. Muller} [The FIDISOL program package, Internal Report No.27/85, Computer Center, University of Karlsruhe, 75 Karlsruhe, FRG (1985)]. Homepage: http://www.sai.msu.su/sal/B/2/FIDISOL.html Programming Languages: FORTRAN Keywords: data flow algorithm; black box solver; FIDISOL; Finite difference solver; program package; nonlinear boundary conditions; variable stepsize/variable order finite difference method; vector computers; iterative solvers for large sparse linear systems Related Software: ELLPACK; PELLPACK; PDECOL; Madpack; FDEM; VECFEM; LINSOL; MeshTV; CADSOL; PATRAN; GAMS; PVM; Maxima; ITPACK 2C; GEOMPACK; CMRH; na1; ILUT; CGS; BiCGstab Cited in: 12 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year FIDISOL: A ‘black box’ solver for partial differential equations. Zbl 0633.65100Schönauer, Willi; Schnepf, Eric 1988 all top 5 Cited by 20 Authors 6 Schönauer, Willi 4 Weiss, Rüdiger 2 Catlin, Ann Christine 2 Gaitatzes, Margaret 2 Houstis, Elias N. 2 Papachiou, P. N. 2 Rice, John R. 2 Schnepf, Eric 2 Wang, KoYang 2 Weerawarana, Sanjiva 1 Cross, Mark 1 Häfner, Hartmut 1 Heyouni, Mohammed 1 Ierotheou, Constantinos S. 1 Ortega, James M. 1 Richards, C. W. 1 Romine, Charles H. 1 Sadok, Hassane 1 Sternecker, Peter 1 Voigt, Robert G. all top 5 Cited in 7 Serials 2 ACM Transactions on Mathematical Software 2 Applied Numerical Mathematics 1 Journal of Computational and Applied Mathematics 1 Parallel Computing 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Numerical Linear Algebra with Applications Cited in 4 Fields 12 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year