twpbvpl swMATH ID: 10053 Software Authors: Jeff Cash; Margaret Wright Description: Algorithms for the Solution of Two-Point Boundary Value Problems: The Fortran 77 code TWPBVP was originally developed by Jeff Cash and Margaret Wright and is a global method to compute the numerical solution of two point boundary value problems (either linear or non-linear) with separated boundary conditions. In the code TWPBVP, MIRK schemes of orders 4, 6 and 8 are solved in a deferred correction framework in an attempt to give a solution accurate to a prescribed local tolerance at a discrete set of mesh points. TWPBVP has been found to be especially effective at solving non-stiff and mildly-stiff ODEs efficiently. For problems of a greater stiffness, fully implicit Runge Kutta schemes have been found to be more suitable (although requiring more work per step) than MIRK schemes. A deferred correction code TWPBVPL based on Lobatto IIIA schemes of orders 4, 6 and 8 has been developed. For stiff problems it is recommended that this code should be tried first. ... Homepage: http://wwwf.imperial.ac.uk/~jcash/BVP_software/twpbvp.php Dependencies: Fortran Related Software: acdc; twpbvp; bvptwp.m; BvpSolve; bvp4c; Matlab; COLNEW; diffEq; MIRKDC; COLSYS; HOFiD_UP; PMIRKDC; deTestSet; RODAS; ALCON; AUTO-07P; AUTO; ARCELO; COLROW; deSolve Cited in: 11 Publications all top 5 Cited by 24 Authors 5 Mazzia, Francesca 3 Cash, Jeff R. 2 Amodio, Pierluigi 2 Giordano, Domenico 2 Iavernaro, Felice 2 Labianca, Arcangelo 2 Lazzo, Monica 2 Nagy, Abdelhameed M. 2 Pisani, Lorenzo 1 Ansari, Ali R. 1 Ben-Romdhane, Mohamed 1 Brdar, Mirjana 1 Hollevoet, D. 1 Khenissi, Moez 1 McLachlan, Robert I. 1 Naceur, Nahed 1 Offen, Christian 1 Ramos, Higinio 1 Roche, Jean Rodolphe 1 Shishkin, Grigoriĭ Ivanovich 1 Singh, Gurjinder 1 Soetaert, Karline 1 Temimi, Helmi 1 Zarin, Helena all top 5 Cited in 8 Serials 3 Applied Mathematics and Computation 2 Opuscula Mathematica 1 Applicable Analysis 1 ACM Transactions on Mathematical Software 1 Calcolo 1 Numerical Algorithms 1 European Journal of Mechanics. B. Fluids 1 Communications in Computational Physics all top 5 Cited in 8 Fields 8 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year