Conservation properties of symmetric BVMs applied to linear Hamiltonian problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2331 LNCS, Issue PART 3, 2002, Pages 429-438

  Amodio, Pierluigi ^a   Iavernaro, Felice ^a   Trigiante, Donato ^b  

^a UNIVERSITY OF BARI   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; NUMERICAL METHODS;

BOUNDARY VALUE METHODS; CONSERVATION PROPERTIES; CONVERGENCE PROPERTIES; HAMILTONIAN PROBLEMS; HAMILTONIAN SYSTEMS; NATURAL PROJECTIONS; NUMERICAL APPROXIMATIONS; ORDER OF CONVERGENCE;

HAMILTONIANS;

EID: 23044534182     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-47789-6_45     Document Type: Conference Paper

References (5)

1. Aceto, L., Trigiante, D.: Symmetric schemes, time reversal symmetry and conservative methods for Hamiltonian systems, J. Comput. Appl. Math. 107 (1999) 257-274
2. Amodio, P., Brugnano, L.: On the conditioning of Toeplitz band matrices, Mathematical and Computer Modelling 23 (10) (1996) 29-42
3. Brugnano, L., Trigiante, D.: Solving ODEs by Linear Multistep Initial and Boundary Value Methods, Gordon & Breach, Amsterdam, 1998
4. Hairer, E., Lubich, Ch., Wanner, G.: Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations. Springer Series in Computational Mathematics 31, 2002
5. Sanz-Serna, J.M., Calvo, M.P.: Numerical Hamiltonian problems. Chapman and Hall, London, 1994