Construction of Runge–Kutta type methods for solving ordinary differential equations

Author:

Tang Wensheng,Sun Yajuan

Funder

Foundation of the NNSFC

Foundation for Innovative Research Groups of the NNSFC

National Basic Research Program of China

ITER-China Program

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

1. Inherently energy conserving time finite elements for classical mechanics;Betsch;J. Comput. Phys.,2000

2. Hamiltonian boundary value methods: energy preserving discrete line integral methods;Brugnano;J. Numer. Anal. Ind. Appl. Math.,2010

3. Geometric integration by playing with matrices;Brugnano;AIP Conf. Proc.,2012

4. Energy and quadratic invariants preserving integrators based upon Gauss collocation formulae;Brugnano;SIAM J. Numer. Anal.,2012

5. L. Brugnano, F. Iavernaro, Line integral methods and their application to the numerical solution of conservative problems, Lecture notes of a course given by L. Brugnano on December 27, 2012–January 4, 2013, in Academy of Mathematics and Systems Science, Beijing.

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