Analysis

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Tarek Mathew

<P>Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includ...

Advanced Courses Of Mathematical Analysis Iii - Proceedings Of The Third International School

Vanishing and Finiteness Results in Geometric Analysis

Marco Rigoli / Alberto G Setti / Stefano Pigola

<P>This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes...

Operator Algebras, Operator Theory and Applications

This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator T...

Scalar and Asymptotic Scalar Derivatives

Sándor Zoltán Németh / George Isac

<P>This extremely useful book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and appli...

Analysis 1

Otto Forster

Dieses seit über 30 Jahren bewährte Standardwerk ist gedacht als Begleittext zur Analysis-Vorlesung des ersten Semesters für Mathematiker, Physiker und Informatiker. Bei der Darstellung wurde b...

An Introduction to Nonlinear Partial Differential Equations

J. David Logan

Praise for the First Edition: <p>"This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also a...

Selfdual Gauge Field Vortices

Gabriella Tarantello

<P>This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The auth...

Handbook of Continued Fractions for Special Functions

Annie A.M. Cuyt / Vigdis Petersen / Brigitte Verdonk / Haakon Waadeland / William B. Jones

<P>Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Becau...

Data Manipulation with R

Phil Spector

The R language provides a rich environment for working with data, especially data to be used for statistical modeling or graphics. Coupled with the large variety of easily available packages, it a...

C*-algebras and Elliptic Theory II

<P>This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-comm...

Differential Equations, Chaos and Variational Problems

<P>This collection of original articles and surveys written by leading experts in their fields is dedicated to Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday. The v...

Seminar on Stochastic Analysis, Random Fields and Applications V

<P>This volume contains refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Fransc...

Functional Analysis and Evolution Equations

<P>Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the brea...

From Hyperbolic Systems to Kinetic Theory

Luc Tartar

<P>This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tar...

Hamiltonian Dynamical Systems and Applications

Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for...

Transport Equations and Multi-D Hyperbolic Conservation Laws

Gianluca Crippa / Felix Otto / Luigi Ambrosio / Camillo De Lellis / Michael Westdickenberg

<P>The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements. This volume provides an up-to-date overview of the status and persp...

Stochastic Calculus for Fractional Brownian Motion and Applications

Yaozhong Hu / Bernt Øksendal / Francesca Biagini / Tusheng Zhang

<P>The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular...

Partial Differential Equations in Action

Sandro Salsa

The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a sol...

Advances in Discrete Tomography and Its Applications

<P>The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-c...