Monte-Carlo Methods and Stochastic Processes
eBook - ePub

Monte-Carlo Methods and Stochastic Processes

From Linear to Non-Linear

  1. 310 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Monte-Carlo Methods and Stochastic Processes

From Linear to Non-Linear

About this book

Developed from the author's course at the Ecole Polytechnique, Monte-Carlo Methods and Stochastic Processes: From Linear to Non-Linear focuses on the simulation of stochastic processes in continuous time and their link with partial differential equations (PDEs). It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also thoroughly develops the problem of numerical integration and computation of expectation by the Monte-Carlo method.

The book begins with a history of Monte-Carlo methods and an overview of three typical Monte-Carlo problems: numerical integration and computation of expectation, simulation of complex distributions, and stochastic optimization. The remainder of the text is organized in three parts of progressive difficulty. The first part presents basic tools for stochastic simulation and analysis of algorithm convergence. The second part describes Monte-Carlo methods for the simulation of stochastic differential equations. The final part discusses the simulation of non-linear dynamics.

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Yes, you can access Monte-Carlo Methods and Stochastic Processes by Emmanuel Gobet in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. List of Figures
  9. List of Algorithms
  10. INTRODUCTION: BRIEF OVERVIEW OF MONTE-CARLO METHODS
  11. PART A: TOOLBOX FOR STOCHASTIC SIMULATION
  12. PART B: SIMULATION OF LINEAR PROCESSES
  13. PART C: SIMULATION OF NON-LINEAR PROCESSES
  14. Appendix A: Reminders and complementary results
  15. Bibliography
  16. Index