Monte Carlo and Quasi-Monte Carlo Methods 2002: Proceedings of a Conference Held at the National University of Singapore, Republic of Singapore, Novem

ISBN-13: 9783540204664 / Angielski / Miękka / 2004 / 460 str.

Harald Niederreiter

Opis

This book represents the refereed proceedings of the Fifth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing which was held at the National University of Singapore in the year 2002. An important feature are invited surveys of the state of the art in key areas such as multidimensional numerical integration, low-discrepancy point sets, computational complexity, finance, and other applications of Monte Carlo and quasi-Monte Carlo methods. These proceedings also include carefully selected contributed papers on all aspects of Monte Carlo and quasi-Monte Carlo methods. The reader will be informed about current research in this very active area.

Spis treści

Invited Papers.- Finance: A Fertile Field for Applications of MC and QMC.- How Many Random Bits Do We Need for Monte Carlo Integration?.- On Tractability of Weighted Integration for Certain Banach Spaces of Functions.- Polynomial Integration Lattices.- Approximate Bayesian Computation and MCMC.- New Challenges for the Simulation of Stochastic Processes.- Stochastic Models and Monte Carlo Algorithms for Boltzmann Type Equations.- Digital Nets, Duality, and Algebraic Curves.- Contributed Papers.- Generalized Mersenne Prime Number and Its Application to Random Number Generation.- Constructing Good Lattice Rules with Millions of Points.- Lattice Structure of Nonlinear Pseudorandom Number Generators in Parts of the Period.- Simulation for American Options: Regression Now or Regression Later?.- Perturbation Monte Carlo Methods for the Solution of Inverse Problems.- Quantum Boolean Summation with Repetitions in the Worst-Average Setting.- The Strong Tractability of Multivariate Integration Using Lattice Rules.- Minimizing Effective Dimension Using Linear Transformation.- Component by Component Construction of Rank-1 Lattice Rules Having O(n-1(ln(n))d) Star Discrepancy.- Stratification by Rank-1 Lattices.- Walsh Series Analysis of the Star Discrepancy of Digital Nets and Sequences.- Quasi-Monte Carlo Methods for Estimating Transient Measures of Discrete Time Markov Chains.- Quasi-Monte Carlo Methods for Elliptic BVPs.- Stable Connectivity of Networks and Its Monte Carlo Estimation.- Random Number Generators Based on Linear Recurrences in % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbWexLMBb50ujbqegm0B % 1jxALjharqqr1ngBPrgifHhDYfgasaacH8srps0lbbf9q8WrFfeuY- % Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq % 0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciaacaGaaeqabaWaae % aaeaaakeaatuuDJXwAK1uy0HMmaeXbfv3ySLgzG0uy0HgiuD3BaGqb % biab-vi8gnaaBaaaleaacaaIYaWaaWbaaWqabeaaryqr1ngBPrgaiy % GacqGF3bWDaaaaleqaaaaa!4C2E! $$ \mathbb_{2^w } $$.- Using Quasi-Monte Carlo Scenarios in Risk Management.- Adaptive Quasi-Monte Carlo Integration Based on MISER and VEGAS.- When Does Monte Carlo Depend Polynomially on the Number of Variables?.- A New Adaptive Method for Geometric Convergence.- Polynomial Arithmetic Analogue of Hickernell Sequences.