Stochastic Numerical Methods: An Introduction For Students And Scientists

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    Stochastic Numerical Methods: An Introduction for Students and Scientists
    By: Toral, Ra?l; Colet, Pere
    Publisher:
    Wiley-VCH
    Print ISBN: 9783527411498, 3527411496
    eText ISBN: 9783527683123, 3527683127
    Edition: 1st
    Pages: 450
    Format: EPUB
    Available from $ 68.95 USD
    SKU 9783527683123
    Stochastic Numerical Methods introduces at Master level the numerical methods that use probability or stochastic concepts to analyze random processes. The book aims at being rather general and is addressed at students of natural sciences (Physics, Chemistry, Mathematics, Biology, etc.) and Engineering, but also social sciences (Economy, Sociology, etc.) where some of the techniques have been used recently to numerically simulate different agent-based models.

    Examples included in the book range from phase-transitions and critical phenomena, including details of data analysis (extraction of critical exponents, finite-size effects, etc.), to population dynamics, interfacial growth, chemical reactions, etc. Program listings are integrated in the discussion of numerical algorithms to facilitate their understanding.

    From the contents:
    Review of Probability Concepts
    Monte Carlo Integration
    Generation of Uniform and Non-uniform
    Random Numbers: Non-correlated Values
    Dynamical Methods
    Applications to Statistical Mechanics
    Introduction to Stochastic Processes
    Numerical Simulation of Ordinary and
    Partial Stochastic Differential Equations
    Introduction to Master Equations
    Numerical Simulations of Master Equations
    Hybrid Monte Carlo
    Generation of n-Dimensional Correlated
    Gaussian Variables
     

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