The book provides an easily accessible computationally oriented introduction into the numerical solution of stochastic differential equations using computer experiments. It develops in the reader an ability to apply numerical methods solving stochastic differential equations in their own fields. Furthermore, it creates an intuitive understanding of the necessary theoretical background from stochastic and numeric analysis. The book is related to the more theoretical monograph P.E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations, 1992, but can be independently used. It provides solutions to over 100 exercises used in this monograph to illustrate the theory. Corresponding Turbo Pascal programs are given on a floppy disk; furthermore commentaries on the programs and their use are carefully worked out in the book.
Preface.- Legal Matters.- Introduction.- Background on Probability and Statistics.- Stochastic Differential Equations.- Introduction to Discrete Time Approximation.- Strong Approximations.- Weak Approximations.- Applications.- References.- Subject Index.- List of PC-Exercises.- Frequently Used Notations.
