The Foundations of Computational Mathematics meetings serve as a platform for cross-fertilization between numerical analysis, mathematics and computer science. This volume contains the invited presentations given by some of the leading authorities in the world. Topics surveyed range from partial differential equations to image processing, biology, complexity, number theory and algebraic geometry.
The Foundations of Computational Mathematics meetings serve as a platform for cross-fertilization between numerical analysis, mathematics and computer...
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and...
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates...
Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential...
Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are natural...
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and...
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates...
