By Arieh Iserles
Acta Numerica is an annual quantity proposing significant survey articles in numerical research and clinical computing. the topics and authors are selected through a exceptional overseas Editorial Board for you to document an important and well timed advancements within the topic in a fashion available to the broader neighborhood of execs with an curiosity in medical computing.
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Extra info for Acta Numerica 1998 (Volume 7)
Zinterhof, eds), Springer. Neunzert, J. Wiesen (1990), 'Application of welldistributed sequences to the numerical simulation of the Boltzmann equation', J. Comput. Appl. 31, 1522. Bardos, F. Formal derivations', J. Statist. 63, 323344. Bardos, F. Convergence proofs for the Boltzmann equation', Comm. Pure Appl. 46, 667753. Bird (1976), Molecular Gas Dynamics, Oxford University Press. G. A. Bird (1978), 'Monte Carlo simulation of gas flows', Ann. Rev. Fluid Mech. 10, 1131. Adams (1992), 'The asymptotic diffusion limit of a linear discontinuous discretization of a twodimensional linear transport equation', J.
Since there is no Central Limit Theorem for quasirandom sequences, there is no corresponding empirical error estimate for quasiMonte Carlo. On the other hand, confidence in the accuracy of quasiMonte Carlo integration comes from refining a set of computations. MONTE CARLO AND QUASIMONTE CARLO 31 Second, quasiMonte Carlo methods are designed for integration and are not directly applicable to simulation. This is because of the correlations between the points of a quasirandom sequence. However, in many simula tions the desired result is an expectation of some quantity, which can then be written as a highdimensional integral on which quasiMonte Carlo can be used.
Formal derivations', J. Statist. 63, 323344. Bardos, F. Convergence proofs for the Boltzmann equation', Comm. Pure Appl. 46, 667753. Bird (1976), Molecular Gas Dynamics, Oxford University Press. G. A. Bird (1978), 'Monte Carlo simulation of gas flows', Ann. Rev. Fluid Mech. 10, 1131. Adams (1992), 'The asymptotic diffusion limit of a linear discontinuous discretization of a twodimensional linear transport equation', J. Comput. 98, 285300. P. L. Fox and H. Niederreiter (1994), 'Algorithm 738 Programs to generate Niederreiter's discrepancy sequences', A CM Trans.