메뉴 건너뛰기




Volumn 26, Issue 6, 2005, Pages 1838-1851

Explicit, time reversible, adaptive step size control

Author keywords

Adaptive integration; Backward error analysis; Explicit and reversible step size control; Geometric integration; Hamiltonian systems; Reversible perturbation theory; St rmer Verlet method; Time reversible and symmetric methods

Indexed keywords

COMPUTATIONAL GEOMETRY; HAMILTONIANS; INFORMATION ANALYSIS; INTEGRATION; PERTURBATION TECHNIQUES;

EID: 27844551675     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/040606995     Document Type: Article
Times cited : (54)

References (11)
  • 1
    • 0041013927 scopus 로고
    • Variable steps for symplectic integrators
    • Numerical Analysis 1991, Pitman, Longman, Harlow, UK
    • M. P. CALVO AND J. M. SANZ-SERNA, Variable steps for symplectic integrators, in Numerical Analysis 1991, Pitman, Res. Notes Math. Ser. 260, Longman, Harlow, UK, 1992, pp. 34-48.
    • (1992) Res. Notes Math. Ser. , vol.260 , pp. 34-48
    • Calvo, M.P.1    Sanz-Serna, J.M.2
  • 2
    • 0002586723 scopus 로고    scopus 로고
    • Asymptotic error analysis of the adaptive Verlet method
    • S. CIRILLI, E. HAIRER, AND B. LEIMKUHLER, Asymptotic error analysis of the adaptive Verlet method, BIT, 39 (1999), pp. 25-33.
    • (1999) BIT , vol.39 , pp. 25-33
    • Cirilli, S.1    Hairer, E.2    Leimkuhler, B.3
  • 3
    • 0001724114 scopus 로고
    • Symplectic integrators for long-term integrations in celestial mechanics
    • B. GLADMAN, M. DUNCAN, AND J. CANDY, Symplectic integrators for long-term integrations in celestial mechanics, Celest. Mech. Dyn. Astr., 52 (1991), pp. 221-240.
    • (1991) Celest. Mech. Dyn. Astr. , vol.52 , pp. 221-240
    • Gladman, B.1    Duncan, M.2    Candy, J.3
  • 4
    • 0003835647 scopus 로고    scopus 로고
    • Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations
    • Springer, Berlin
    • E. HAIRER, C. LUBICH, AND G. WANNER, Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations, Springer Ser. Comput. Math. 31, Springer, Berlin, 2002.
    • (2002) Springer Ser. Comput. Math. , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 5
    • 0030621833 scopus 로고    scopus 로고
    • Reversible long-term integration with variable stepsizes
    • E. HAIRER AND D. STOFFER, Reversible long-term integration with variable stepsizes, SIAM J. Sci. Comput., 18 (1997), pp. 257-269.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 257-269
    • Hairer, E.1    Stoffer, D.2
  • 6
    • 0035546021 scopus 로고    scopus 로고
    • Explicit variable step-size and time-reversible integration
    • T. HOLDER, B. LEIMKUHLER, AND S. REICH, Explicit variable step-size and time-reversible integration, Appl. Numer. Math., 39 (2001), pp. 367-377.
    • (2001) Appl. Numer. Math. , vol.39 , pp. 367-377
    • Holder, T.1    Leimkuhler, B.2    Reich, S.3
  • 8
    • 11944261676 scopus 로고
    • Building a better leapfrog
    • P. HUT, J. MAKINO, AND S. MCMILLAN, Building a better leapfrog, Astrophys. J., 443 (1995), pp. 93-96.
    • (1995) Astrophys. J. , vol.443 , pp. 93-96
    • Hut, P.1    Makino, J.2    Mcmillan, S.3
  • 9
    • 0036441379 scopus 로고    scopus 로고
    • Automatic control and adaptive time-stepping
    • G. SÖDERLIND, Automatic control and adaptive time-stepping, Numer. Algorithms, 31 (2002), pp. 281-310.
    • (2002) Numer. Algorithms , vol.31 , pp. 281-310
    • Söderlind, G.1
  • 10
    • 3042616322 scopus 로고    scopus 로고
    • Digital filters in adaptive time-stepping
    • G. SÖDERLIND, Digital filters in adaptive time-stepping, ACM Trans. Math. Software, 29 (2003), pp. 1-26.
    • (2003) ACM Trans. Math. Software , vol.29 , pp. 1-26
    • Söderlind, G.1
  • 11
    • 0029229318 scopus 로고
    • Variable steps for reversible integration methods
    • D. STOFFER, Variable steps for reversible integration methods, Computing, 55 (1995), pp. 1-22.
    • (1995) Computing , vol.55 , pp. 1-22
    • Stoffer, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.