Monte Carlo and Quasi-Monte Carlo Methods 2004

This volume represents the refereed proceedings of the Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scienti?c Computing which was held in conjunction with the Second International C- ference on Monte Carlo and Probabilistic Methods for Partial Di?erential Equations at Juan-les-Pins, France, from 7-10 June 2004. The programme of this conference was arranged by a committee consisting of Henri Faure (U- versit¿ edeMarseille),PaulGlasserman(ColumbiaUniversity),StefanHeinrich (Universit¿ at Kaiserslautern), Fred J. Hickernell (Hong Kong Baptist Univ- sity), Damien Lamberton (Universit¿ e de Marne la Vall¿ ee), Bernard Lapeyre (ENPC-CERMICS), Pierre L'Ecuyer (Universit¿edeMontr¿ eal), Pierre-Louis Lions (Coll` ege de France), Harald Niederreiter (National University of S- gapore, co-chair), Erich Novak (Universit¿ at Jena), Art B. Owen (Stanford University), Gilles Pag` es (Universit¿ e Paris 6), Philip Protter (Cornell U- versity), Ian H. Sloan (University of New South Wales), Denis Talay (INRIA Sophia Antipolis, co-chair), Simon Tavar¿ e (University of Southern California) and Henryk Wo¿ zniakowski (Columbia University and University of Warsaw). The organization of the conference was arranged by a committee consisting of Mireille Bossy and Etienne Tanr¿ e (INRIA Sophia Antipolis), and Madalina Deaconu(INRIALorraine). LocalarrangementswereinthehandsofMonique Simonetti and Marie-Line Ramfos (INRIA Sophia Antipolis).

"This book represents the refereed proceedings of the Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing and of the Second International Conference on Monte Carlo and Probabilistic Methods for Partial Differential Equations. These conferences were held jointly at Juan-les-Pins (France) in June 2004. The proceedings include carefully selected papers on many aspects of Monte Carlo methods, quasi-Monte Carlo methods, and the numerical solution of partial differential equations. The reader will be informed about current research in these very active areas."

Invariance Principles with Logarithmic Averaging for Ergodic Simulations.- Technical Analysis Techniques versus Mathematical Models: Boundaries of Their Validity Domains.- Weak Approximation of Stopped Dffusions.- Approximation of Stochastic Programming Problems.- The Asymptotic Distribution of Quadratic Discrepancies.- Weighted Star Discrepancy of Digital Nets in Prime Bases.- Explaining Effective Low-Dimensionality.- Selection Criteria for (Random) Generation of Digital (0,s)-Sequences.- Imaging of a Dissipative Layer in a Random Medium Using a Time Reversal Method.- A Stochastic Numerical Method for Diffusion Equations and Applications to Spatially Inhomogeneous Coagulation Processes.- Non-Uniform Low-Discrepancy Sequence Generation and Integration of Singular Integrands.- Construction of Good Rank-1 Lattice Rules Based on the Weighted Star Discrepancy.- Probabilistic Approximation via Spatial Derivation of Some Nonlinear Parabolic Evolution Equations.- Myths of Computer Graphics.- Illumination in the Presence of Weak Singularities.- Irradiance Filtering for Monte Carlo Ray Tracing.- On the Star Discrepancy of Digital Nets and Sequences in Three Dimensions.- Lattice Rules for Multivariate Approximation in the Worst Case Setting.- Randomized Quasi-Monte Carlo Simulation of Markov Chains with an Ordered State Space.- Experimental Designs Using Digital Nets with Small Numbers of Points.- Concentration Inequalities for Euler Schemes.- Fast Component-by-Component Construction, a Reprise for Different Kernels.- A Reversible Jump MCMC Sampler for Object Detection in Image Processing.- Quasi-Monte Carlo for Integrands with Point Singularities at Unknown Locations.- Infinite-Dimensional Highly-Uniform Point Sets Defined via Linear Recurrences in $$mathbb{F}_{2^w } $$ .- Monte Carlo Studies of Effective Diffusivities for Inertial Particles.- An Adaptive Importance Sampling Technique.- MinT: A Database for Optimal Net Parameters.- On Ergodic Measures for McKean-Vlasov Stochastic Equations.- On the Distribution of Some New Explicit Inversive Pseudorandom Numbers and Vectors.- Error Analysis of Splines for Periodic Problems Using Lattice Designs.