This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest
This comprehensive textbook describes and analyzes all available alternating projection methods for solving the general problem of finding a point in the intersection of several given sets that belong
A comprehensive exposition of a systematic theory of Taylor expansions of evolutionary-type stochastic partial differential equations (SPDEs). Applied and pure mathematicians interested in using and f
This comprehensive overview of numerical weather prediction (NWP) focuses on the application of the spectral method in NWP models. It provides readers with the information necessary to construct spect
This book provides a bridge between continuous optimization and PDE modelling and focuses on the numerical solution of the corresponding problems. Intended for graduate students in PDE-constrained opt
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, ma
This book is about some of the areas at the intersection of the key topics that form the foundations for high-school mathematics. Most importantly, the book is about some mathematical ways of thinking
The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima and minima other than the methods of calculus and linear programming. Each of th
This book introduces the ergodic theory behind common number expansions - decimal expansions, continued fractions and many others. It's aimed at introducing students with a background in real analysis
After ten years of research and development, the authors present their work on dynamic programming (DP) that can easily be applied to the reader's own situations, including those where the theoretical
This is the only book on spectral methods built around MATLAB programs. This hands-on introduction is built around forty short and powerful MATLAB programs, easily adaptable to the reader's own needs,
Surveys the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Offers a research-level presentation of the pri
This textbook develops the use of probability and statistics in engineering reliability and maintenance problems. The author uses probability models in the analysis of failure data, decision-making re
An undergraduate course on partial differential equations is found in almost every mathematics department, and this is an important offering to any student on such a course because of its fresh approa
Originally published in 1986, this valuable reference provides a detailed treatment of limit theorems and inequalities for empirical processes of real-valued random variables. This book is appropriate
Polynomial continuation is a numerical technique used to compute solutions to systems of polynomial equations. Originally published in 1987, this introduction to polynomial continuation remains a usef
