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 Jitse Niesen

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Average citations per article5.00
Citation Count20
Publication count4
Publication years2004-2012
Available for download1
Average downloads per article410.00
Downloads (cumulative)410
Downloads (12 Months)61
Downloads (6 Weeks)1
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4 results found Export Results: bibtexendnoteacmrefcsv

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1 published by ACM
April 2012 ACM Transactions on Mathematical Software (TOMS): Volume 38 Issue 3, April 2012
Publisher: ACM
Bibliometrics:
Citation Count: 16
Downloads (6 Weeks): 1,   Downloads (12 Months): 61,   Downloads (Overall): 410

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We develop an algorithm for computing the solution of a large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent to computing the action of a certain matrix function on the vector representing the initial condition. The matrix function is a linear combination of the matrix ...
Keywords: exponential integrators, matrix exponential, Krylov subspace methods

2
June 2008 Foundations of Computational Mathematics: Volume 8 Issue 3, June 2008
Publisher: Springer-Verlag New York, Inc.
Bibliometrics:
Citation Count: 2

The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals the fundamental solution of the differential equation. The question considered in this paper is: When does the series converge? The main ...
Keywords: 34A30, 65L99

3
June 2008 Foundations of Computational Mathematics: Volume 8 Issue 3, June 2008
Publisher: Springer-Verlag New York, Inc.
Bibliometrics:
Citation Count: 0

The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals the fundamental solution of the differential equation. The question considered in this paper is: When does the series converge? The main ...
Keywords: Baker---Campbell---Hausdorff formula, Magnus series, Exponential Lie series, Linear ordinary differential equations, 34A30, 34A25, 65L99

4
December 2004 Journal of Symbolic Computation: Volume 38 Issue 6, December, 2004
Publisher: Academic Press, Inc.
Bibliometrics:
Citation Count: 1

A new technique for deriving the determining equations of nonclassical symmetries associated with a partial differential equation system is introduced. The problem is reduced to computing the determining equations of the classical symmetries associated with a related equation with coefficients which depend on the nonclassical symmetry operator. As a consequence, ...
Keywords: Symbolic computation, 35A30, 58J70, 68W30, 70G65, Classical and nonclassical symmetries



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