Madpack swMATH ID: 4252 Software Authors: Douglas, C.C. Description: MADPACK: A family of abstract multigrid or multilevel solutions. The author gives a state-of-art description of the abstract multigrid package MADPACK (Multigrid-Aggregation-Disaggregation-PACKage). The package provides basic routines that allow us to build abstract multigrid methods for solving linear and nonlinear systems, possibly arizing from partial differential equations, possibly not. The author discusses three versions of the package, namely versions 2, 4, and 5. Version 2 is available through anonymous ftp from casper.cs.yale.edu in the directory mgnet/madpack2. The advantages and disadvantages of the use of FORTRAN, C, and C++ are also discussed. The author favours a mixed language programming approach. Homepage: http://www.mgnet.org/mgnet-codes.html Keywords: multigrid; multilevel solver; iterative methods for linear systems; sparse matrix; software package Madpack5 Related Software: PETSc; Utopia; PetIGA; Algorithm 682; UG; DUNE; FIDISOL; Matlab; Wesseling; CGS Cited in: 19 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A sparse matrix approach to abstract multilevel solvers on serial and parallel computers. Zbl 0890.65127Douglas, C. C. 1996 all top 5 Cited by 31 Authors 8 Douglas, Craig C. 2 Aimi, Alessandra 2 Diligenti, Mauro 2 Sheen, Dongwoo 1 Bassotti, Lucilla 1 Benedusi, Pietro 1 Borzì, Alfio 1 Dureisseix, David 1 Ferrari, Paola 1 Fish, Jacob 1 Fournier, Luc 1 Garoni, Carlo 1 Giddings, Thomas E. 1 Heise, Bodo 1 Jung, Michael 1 Kim, Imbunm 1 Krause, Rolf H. 1 Ladevèze, Pierre 1 Lanteri, Stéphane 1 Lass, Oliver 1 Lin, Tao 1 Lunardini, F. 1 Miranker, Willard Lee 1 Ortega, James M. 1 Romine, Charles H. 1 Serra-Capizzano, Stefano 1 Shaw, Gareth J. 1 Smith, Barry F. 1 Vallejos, Michelle 1 Voigt, Robert G. 1 Wieners, Christian all top 5 Cited in 14 Serials 2 Applied Numerical Mathematics 2 Computing and Visualization in Science 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 BIT 1 Computing 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Parallel Computing 1 Journal of Scientific Computing 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 1 International Journal of Numerical Analysis and Modeling all top 5 Cited in 9 Fields 18 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year