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AAECC
1993
Springer
94views Algorithms» more  AAECC 1993»
14 years 1 months ago
Relations Among Lie Formal Series and Construction of Symplectic Integrators
Symplectic integrators are numerical integration schemes for hamiltonian systems. The integration step is an explicit symplectic map. We find symplectic integrators using universa...
Pierre-Vincent Koseleff
CDC
2008
IEEE
132views Control Systems» more  CDC 2008»
13 years 11 months ago
Global symplectic uncertainty propagation on SO(3)
Abstract-- This paper introduces a global uncertainty propagation scheme for the attitude dynamics of a rigid body, through a combination of numerical parametric uncertainty techni...
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
JSCIC
2008
134views more  JSCIC 2008»
13 years 9 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove
ICCS
2004
Springer
14 years 3 months ago
Improved Sampling for Biological Molecules Using Shadow Hybrid Monte Carlo
Shadow Hybrid Monte Carlo (SHMC) is a new method for sampling the phase space of large biological molecules. It improves sampling by allowing larger time steps and system sizes in ...
Scott S. Hampton, Jesús A. Izaguirre
IPPS
2007
IEEE
14 years 3 months ago
Performance Evaluation of two Parallel Programming Paradigms Applied to the Symplectic Integrator Running on COTS PC Cluster
There are two popular parallel programming paradigms available to high performance computing users such as engineering and physics professionals: message passing and distributed s...
Lorena B. C. Passos, Gerson H. Pfitscher, Tarcisio...