Symplectic integration without roundoff error

Ergodic Concepts in Stellar Dynamics - Lecture Notes in Physics ◽

10.1007/bfb0058098 ◽

2006 ◽

pp. 122-130 ◽

Cited By ~ 1

Author(s):

David J. D. Earn

Keyword(s):

Roundoff Error ◽

Symplectic Integration

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Roundoff error analysis of fast DCT algorithms in fixed point arithmetic

Numerical Algorithms ◽

10.1007/s11075-007-9123-1 ◽

2007 ◽

Vol 46 (1) ◽

pp. 1-22 ◽

Cited By ~ 1

Author(s):

Katja Ihsberner

Keyword(s):

Fixed Point ◽

Error Analysis ◽

Roundoff Error ◽

Roundoff Error Analysis ◽

Fixed Point Arithmetic ◽

Point Arithmetic

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Roundoff-error reduction for evaluation of a function by polynomial approximation with error feedback in fixed-point arithmetic

IEEE Transactions on Signal Processing ◽

10.1109/78.215314 ◽

1993 ◽

Vol 41 (5) ◽

pp. 1953-1955 ◽

Cited By ~ 1

Author(s):

N. Mikami ◽

M. Kobayashi ◽

Y. Yokoyama

Keyword(s):

Fixed Point ◽

Polynomial Approximation ◽

Error Reduction ◽

Roundoff Error ◽

Error Feedback ◽

Fixed Point Arithmetic ◽

Point Arithmetic

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MATHEMATICAL BASIS OF COMPUTATIONAL PHYSICS

International Journal of Modern Physics C ◽

10.1142/s0129183196000296 ◽

1996 ◽

Vol 07 (03) ◽

pp. 355-359 ◽

Cited By ~ 4

Author(s):

M. SUZUKI

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Quantum Monte Carlo ◽

Computational Physics ◽

Numerical Calculations ◽

Symplectic Integration ◽

Mathematical Basis ◽

Small Parameters ◽

Quantum Monte Carlo Simulations

The present paper explains some general basic formulas concerning quantum Monte Carlo simulations, symplectic integration and other numerical calculations. A generalization of the BCH formula is given with an application to the decomposition of exponential operators in the presence of small parameters.

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