SPRINT2D swMATH ID: 904 Software Authors: Berzins, M.; Fairlie, R.; Pennington, S.V.; Ware, J.M.; Scales, L.E. Description: SPRINT2D is a set of software tools for solving both steady and unsteady partial differential equations (PDEs) in two-space variables. The software consists of a set of coupled modules for mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization. The software uses unstructured triangular meshes and adaptive local error control in both space and time. The class of problems solved includes systems of parabolic, elliptic, and hyperbolic equations; for the latter by use of Riemann-solver-based methods. This article describes the software and shows how the adaptive techniques may be used to increase the reliability of the solution procedure for a Burgers’ equations problem, an electrostatics problem from elastohydrodynamic lubrication, and a challenging gas jet problem. Homepage: http://dl.acm.org/citation.cfm?id=293696 Keywords: adaptive software; method of lines; hyperbolic equations; adaptivity; error control; finite-volume methods; mesh generation; Burgers’ equations; electrostatics; elastohydrodynamic lubrication; challenging gas jet problem Related Software: DASSL; LSODE; GEOMPACK; RODAS; PLTMG; CHEMKIN; FLUENT; YSMP; ODEPACK; LINPACK; ELEMD; Kaskade7; Blitz++ library; UG; ELLPACK; P2MESH; Diffpack; Uintah; Overture; DIFSUB Cited in: 25 Publications Further Publications: http://www.comp.leeds.ac.uk/cpde/projects/sprint_publications.html Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SPRINT2D: Adaptive software for PDEs. Zbl 0934.65107Berzins, M.; Fairlie, R.; Pennington, S. V.; Ware, J. M.; Scales, L. E. 1998 all top 5 Cited by 44 Authors 8 Berzins, Martin 3 Blom, Joke G. 3 Pennington, S. V. 3 Ware, J. Mark 3 Zegeling, Paul Andries 2 Furzeland, R. M. 2 Jimack, Peter K. 1 Bertolazzi, Enrico 1 Bharat, V. 1 Bruel, Pascal 1 Buzzi-Ferraris, Guido 1 Bykov, Viatcheslav 1 Capon, Philip J. 1 Dew, Peter M. 1 Fairlie, R. 1 Faravelli, Tiziano 1 Griffiths, J. F. 1 Hairer, Ernst 1 Jackson, Kenneth R. 1 Lehnasch, Guillaume 1 Lubich, Christian 1 Manca, Davide 1 Manzini, Gianmarco 1 McFarlane, Keith 1 Neumeyer, Thomas 1 Pai, Prasad 1 Parker, Steven G. 1 Piazzesi, R. 1 Pratt, P. R. 1 Rabier, Patrick J. 1 Ranzi, Eliseo 1 Ray, Asit K. 1 Rentrop, Peter 1 Rheinboldt, Werner C. 1 Roche, Michel 1 Sazhin, Sergei S. 1 Sazhina, E. M. 1 Scales, L. E. 1 Seward, Wendy L. 1 Skeel, Robert D. 1 Tsang, T. H. 1 Verwer, Jan G. 1 Walkley, Mark A. 1 Wathen, Andrew John all top 5 Cited in 13 Serials 5 Applied Numerical Mathematics 3 International Journal for Numerical Methods in Fluids 3 ACM Transactions on Mathematical Software 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 SIAM Journal on Scientific Computing 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Lecture Notes in Mathematics all top 5 Cited in 8 Fields 18 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 7 Ordinary differential equations (34-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Fluid mechanics (76-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) Citations by Year