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M. N. Spijker

Marc Nico Spijker

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affiliation: University of Leiden, Department of Mathematics, Netherlands

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Journal Articles

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2017
[j10]
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M. N. Spijker:
Stability and boundedness in the numerical solution of initial value problems. Math. Comput. 86(308): 2777-2798 (2017)
2012
[j9]
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Willem Hundsdorfer, A. Mozartova, M. N. Spijker:
Stepsize Restrictions for Boundedness and Monotonicity of Multistep Methods. J. Sci. Comput. 50(2): 265-286 (2012)
2011
[j8]
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Willem Hundsdorfer, M. N. Spijker:
Boundedness and strong stability of Runge-Kutta methods. Math. Comput. 80(274): 863-886 (2011)
2009
[j7]
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Willem Hundsdorfer, A. Mozartova, M. N. Spijker:
Stepsize Conditions for Boundedness in Numerical Initial Value Problems. SIAM J. Numer. Anal. 47(5): 3797-3819 (2009)
2007
[j6]
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M. N. Spijker:
Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems. SIAM J. Numer. Anal. 45(3): 1226-1245 (2007)
2005
[j5]
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L. Ferracina, M. N. Spijker:
An extension and analysis of the Shu-Osher representation of Runge-Kutta methods. Math. Comput. 74(249): 201-219 (2005)
2004
[j4]
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L. Ferracina, M. N. Spijker:
Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge-Kutta Methods. SIAM J. Numer. Anal. 42(3): 1073-1093 (2004)
2003
[j3]
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Marc Nico Spijker, S. Tracogna, Bruno D. Welfert:
About the sharpness of the stability estimates in the Kreiss matrix theorem. Math. Comput. 72(242): 697-713 (2003)
2002
[j2]
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  - journals/appml/BorovykhDS02
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Natalia Borovykh, Driss Drissi, Marc Nico Spijker:
A bound on powers of linear operators, with relevance to numerical stability. Appl. Math. Lett. 15(1): 47-53 (2002)
1986
[j1]
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  - journals/computing/DekkerKS86
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K. Dekker, J. F. B. M. Kraaijevanger, M. N. Spijker:
The order of B-convergence of the Gaussian Runge-Kutta method. Computing 36(1-2): 35-41 (1986)

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