Strong Stability Preserving Properties of Composition Runge–Kutta Schemes-Reference-Cited by-同舟云学术

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Strong Stability Preserving Properties of Composition Runge–Kutta Schemes

Published:2019-04-09 Issue:2 Volume:80 Page:784-807
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Higueras I.,Roldán T.^ORCID

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-019-00956-9.pdf

Reference34 articles.

1. Calvo, M.P., Sanz-Serna, J.M.: Numerical Hamiltonian Problems. Chapman & Hall, London (1994)

2. Cavaglieri, D., Bewley, T.: Low-storage implicit/explicit Runge–Kutta schemes for the simulation of stiff high-dimensional ODE systems. J. Comput. Phys. 286, 172–193 (2015)

3. Ferracina, L., Spijker, M.N.: Stepsize restrictions for the total-variation-diminishing property in general Runge–Kutta methods. SIAM J. Numer. Anal. 42(3), 1073–1093 (2004)

4. Ferracina, L., Spijker, M.N.: An extension and analysis of the Shu–Osher representation of Runge–Kutta methods. Math. Comput. 74, 201–219 (2005)

5. Ferracina, L., Spijker, M.N.: Strong stability of singly-diagonally-implicit Runge–Kutta methods. Appl. Numer. Math. 58(11), 1675–1686 (2008)

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