Cheap implicit symplectic integrators

Applied Numerical Mathematics

Volumn 25, Issue 2-3, 1997, Pages 297-302

  Zhang, Meiqing ^a   Skeel, Robert D ^b  

^a Univ Illinois at Urbana Champaign ^*  (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Hamiltonian systems; Implicit midpoint; Linearly implicit method; Stiff oscillatory; Symplectic integrator

Indexed keywords

FREQUENCY RESPONSE; INTEGRATION; MATRIX ALGEBRA; NONLINEAR EQUATIONS; STABILITY; TIME DOMAIN ANALYSIS;

SYMPLECTIC METHODS;

MATHEMATICAL OPERATORS;

EID: 0031268644     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00066-4     Document Type: Article

References (7)

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2. C.S. Peskin and T. Schlick, Molecular dynamics by the backward Euler method, Comm. Pure Appl. Math. 42 (1989) 1001-1031.
3. T. Schlick, M. Mandziuk, R.D. Skeel and K. Srinivas, Nonlinear resonance artifacts in molecular dynamics simulations, submitted.
4. J.C. Simo and N. Tarnow, The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics, Z. Angew. Math. Phys. 43 (1992) 757-793.
5. R.D. Skeel and J.J. Biesiadecki, Symplectic integration with variable stepsize, Ann. Numer. Math. 1 (1994) 191-198.
6. R.D. Skeel, G. Zhang and T. Schlick, A family of symplectic integrators: stability, accuracy, and molecular dynamics applications, SIAM J. Sci. Comput. 18 (1) (1997) 203-222.
7. G. Zhang and T. Schlick, LIN: a new algorithm to simulate the dynamics of biomolecules by combining implicit-integration and normal mode techniques, J. Comput. Chem. 14 (1993) 1212-1233.