Vector and parallel computers for quantum Monte Carlo computations
Monte Carlo simulations are inherently compute-bound. Although short computations may provide order-of-magnitude estimates, long CPU times are generally required to achieve the accuracy needed for reliable comparison of Monte Carlo results with experiment or theory. The advent of supercomputers, which have made possible significantly increased computer speeds for those applications which are amenable to vector or parallel processing, thus offers promise for Monte Carlo applications. In fact, Monte Carlo codes are often highly parallel, and offer multiple avenues for both parallelisation and vectorization. We explore the gains to be obtained with supercomputers for the quantum Monte Carlo (QMC) method. The QMC algorithm treated here is used in quantum mechanical molecular calculations, to obtain solutions to the Schroedinger equation. This approach has recently been shown to achieve high accuracy in electronic structure computations. QMC is here demonstrated to fully take advantage of parallel and vector processor systems. Levels of parallelism are discussed, and an overview of parallel computer architectures, as well as present vector supercomputers is given. We also discuss how one adapts QMC to these machines. Performance ratios (versus scalar operation) for a number of supercomputer systems are given. 37 refs., 2 tabs.
- Research Organization:
- Lawrence Berkeley Lab., CA (USA)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 6278073
- Report Number(s):
- LBL-20085; CONF-8508156-1; ON: DE86002955
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
990200* -- Mathematics & Computers
ALGORITHMS
CDC COMPUTERS
COMPUTERS
CRAY COMPUTERS
DEC COMPUTERS
DIFFERENTIAL EQUATIONS
DIGITAL COMPUTERS
EQUATIONS
MATHEMATICAL LOGIC
MECHANICS
MONTE CARLO METHOD
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PERFORMANCE
PROGRAMMING
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SUPERCOMPUTERS
VECTOR PROCESSING
WAVE EQUATIONS