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This 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. It also creates an intuitive understanding of the necessary theoretical background. Software containing programs for over 100 problems is available online.
Includes various departmental reports and reports of commissions. Cf. Gregory. Serial publications of foreign governments, 1815-1931.
This book describes a variety of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations. Such systems arise in many branches of science and engineering, and the examples in the book include systems from quantum physics, celestial mechanics and electronics. To accurately simulate the true behavior of such systems, a numerical algorithm must preserve as much as possible their key structural properties: time-reversibility, oscillation, symplecticity, and energy and momentum conservation. The book describes novel advances in RKN methods, ERKN methods, Filon-type asymptotic methods, AVF methods, and trigonometric Fourier collocation methods. The accuracy and efficiency of each of these algorithms are tested via careful numerical simulations, and their structure-preserving properties are rigorously established by theoretical analysis. The book also gives insights into the practical implementation of the methods. This book is intended for engineers and scientists investigating oscillatory systems, as well as for teachers and students who are interested in structure-preserving algorithms for differential equations.
The need for a Who's Who in mathematical sciences has always been felt by researchers working in mathematical sciences to keep liaison not only with the researchers working in their area but also to keep themselves abreast of the latest fields of research in mathematical sciences. The present book aims to fulfil this need of researchers. This volume contains some 505 entries and records in a unique form the biographical information of mathematical scientists from as many as 52 countries alongwith their fields of interest and specialization, the quantum of work done, their affiliations etc.