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Hopscotch

swMATH ID: 413
Software Authors: Gourlay, A.R.
Description: Hopscotch: a fast second order partial differential equations solver. An idea of Gordon for the numerical solution of evolutionary problems is reformulated and shown to be equivalent to a Peaceman-Rachford process. A fast computational process is then developed and applied to parabolic and elliptic problems, both linear and non-linear. This algorithm is very efficient with regard to computing time, storage requirements and ease of programming. Several fairly general conditions are given which ensure convergence for parabolic and elliptic problems.
Homepage: http://imamat.oxfordjournals.org/content/6/4/375.short
Related Software: COMSOL; DIMSYM; Matlab; Mathematica; Metro; MersenneTwister; MGOO; ALGOL 68; RODAS; HLLE; FIDAP
Cited in: 44 Documents
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Cited by 55 Authors

7 Gourlay, A. R.
4 Morris, John Ll.
4 Sommeijer, Ben P.
4 van der Houwen, Pieter J.
4 Verwer, Jan G.
2 Bell, Graham E.
2 Cooke, Charlie H.
2 Evans, N. T. S.
2 McGuire, G. R.
2 Ritchie, S. I. M.
2 Sleijpen, Gerard L. G.
2 ten Thije Boonkkamp, Jan H. M.
2 Wood, Alastair S.
1 Abrams, Cameron F.
1 Appadu, A. R.
1 Bae, Egil
1 Bhattacharya, M. C.
1 Bréchet, Yves
1 Broom, M. A.
1 Chapwanya, Michael
1 Danaee, A.
1 Davidson, Malcolm Roderick
1 de Vries, H. B.
1 Dendievel, Remy
1 Dew, Peter M.
1 Eilbeck, John Chris
1 Esen, Alaattin
1 Evans, David John
1 Fletcher, Clive A. J.
1 Gane, C. R.
1 Gottlieb, David I.
1 Gustafsson, Bertil
1 Harley, Charis
1 Hopkins, Tim R.
1 Hundsdorfer, Willem H.
1 Jabbarzadeh, Ehsan
1 Jejeniwa, O. A.
1 Kutluay, Selcuk
1 Li, Haitao
1 Lubuma, Jean Mbaro-Saman
1 Luchini, Paolo
1 Luo, Xiaolin
1 Lv, Junliang
1 Monroy, A.
1 Otaka, Masaaki
1 Parisi, E.
1 Qian, Hao
1 Randrianalisoa, Jaona
1 Scraton, R. E.
1 Shevchenko, Pavel V.
1 Soliman, Ahmed Abo-Elmagd
1 ter Maten, E. Jan W.
1 Weickert, Joachim
1 Wu, Dan
1 Yoshida, Toshihiro
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Cited in 24 Serials

6 Journal of Computational and Applied Mathematics
4 Applied Numerical Mathematics
3 Journal of the Institute of Mathematics and its Applications
3 Mathematics and Computers in Simulation
2 Journal of Computational Physics
2 Bulletin of Mathematical Biology
2 Applied Mathematics and Computation
2 Computing
2 International Journal for Numerical Methods in Engineering
1 Computers & Mathematics with Applications
1 International Journal of Heat and Mass Transfer
1 Mathematics of Computation
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Insurance Mathematics & Economics
1 Physica D
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 IBM Journal of Research and Development
1 International Journal of Computer Mathematics
1 Communications in Numerical Methods in Engineering
1 Abstract and Applied Analysis
1 Review of Derivatives Research
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Cited in 14 Fields

35 Numerical analysis (65-XX)
26 Partial differential equations (35-XX)
11 Fluid mechanics (76-XX)
6 Classical thermodynamics, heat transfer (80-XX)
3 Probability theory and stochastic processes (60-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Biology and other natural sciences (92-XX)
1 Ordinary differential equations (34-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

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