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1 - 10 of 32
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Solving third order differential equations with maximal symmetry group
Schwarz F. Computing 65(2): 155-167, 2000. Type: Article
This article builds on foundations laid by Lie, Olver, Bluman, Kumei, Ibragimov, Zorawski, Janet, and Loewy. It is a generalization ofSchwarz (1999) [1]...
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Dec 1 2001 |
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Application of computer algebra systems for stability analysis of difference schemes on curvilinear grids
Ganzha V., Vorozhtsov E. Journal of Symbolic Computation 28(3): 401-433, 1999. Type: Article
Most stability analyses for computational material dynamics schemes are difficult, tedious, and algebraically messy. This leads to the consideration of the use of algebraic manipulators. This paper gives the impression that using compu...
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Feb 1 2000 |
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Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions
Wolf T., Brand A., Mohammadzadeh M. Journal of Symbolic Computation 27(2): 221-238, 1999. Type: Article
Consider the standard continuum model for theone-dimensional motion of a material. Ifx is the position of particle &mgr; at time t, then let x=&khgr;(&mgr;...
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Jan 1 2000 |
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Energy optimization of algebraic multigrid bases
Mandel J., Brezina M., Vaněk P. Computing 62(3): 205-228, 1999. Type: Article
The authors present some results of their investigations of the design of algebraic multigrid methods. They are interested in applying these methods to solving linear systems arising from finite element discretizations of elliptic boun...
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Oct 1 1999 |
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An object-oriented framework for block preconditioning
Chow E., Heroux M. ACM Transactions on Mathematical Software 24(2): 159-183, 1998. Type: Article
The preconditioning referred to here is the transformation of problem (1) A x = b into problem (2) M -1 A x = M -1 b, where M -1 approximates A -1 and is called t...
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Mar 1 1999 |
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Numerical analysis
Gautschi W., Birkhäuser Boston Inc., Cambridge, MA, 1997. Type: Book (9780817638955)
The intended use for this book is in “a one- or two-semester graduate course in numerical analysis for students who have a good background in calculus and advanced calculus and some knowledge of linear algebra, complex analys...
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Mar 1 1998 |
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An introduction to the mathematical theory of inverse problems
Kirsch A., Springer-Verlag New York, Inc., New York, NY, 1996. Type: Book (9780387945309)
According to the preface, “This book arose from a number of graduate courses, lectures, and survey talks during my time at the universities of Göttingen and Erlangen/Nürnberg. It was my intention to present ...
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Aug 1 1997 |
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Data structures and concepts for adaptive finite element methods
Leinen P. Computing 55(4): 325-354, 1995. Type: Article
In designing a data structure for adaptive meshes, one of the first questions is how general it should be. This paper deals only with special triangular meshes. Further design decisions are implicit in this quote: “The data s...
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Oct 1 1996 |
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Moving finite elements
Baines M., Oxford University Press, Inc., New York, NY, 1994. Type: Book (9780198534679)
The first successful steep front method (SFM) was introduced in von Neumann and Richtmyer (1950). K. Miller (1981) introduced moving finite elements (MFEs) to compute solutions with steep moving fronts using finite element methods (FEM...
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Jul 1 1996 |
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Algebraic numbers
Duval D. Journal of Symbolic Computation 18(5): 429-445, 1994. Type: Article
Dynamic evaluation, a way to deal, for example, with algebraic numbers in computer algebra, was introduced by Della Dora, Dicrescenzo, and Duval [1]. Other applications of dynamic evaluation include computing the Jordan canonical form ...
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Jul 1 1996 |
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