Analysis

Numerical Mathematics and Advanced Applications

<P>These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 200...

Nonlinear Oscillations of Hamiltonian PDEs

Massimiliano Berti

<P>Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear o...

Biorthogonal Systems in Banach Spaces

Vaclav Zizler / Petr Hajek / Jon Vanderwerff / Vicente Montesinos Santalucia

This book introduces the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear ana...

Spectral Methods

Claudio Canuto / M. Yousuff Hussaini / Alfio Quarteroni / Thomas A. Zang

<P>Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation...

Spectral Theory of Infinite-Area Hyperbolic Surfaces

David Borthwick

<P>This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. By focusing on the scattering theory of hyperbolic surfac...

Mean Oscillations and Equimeasurable Rearrangements of Functions

Anatolii A. Korenovskii

<P>This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some v...

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians

Andrea Bonfiglioli / Ermanno Lanconelli / Francesco Uguzzoni

<P>This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups,...

Analysis of Lattice-Boltzmann Methods

Martin Rheinländer

Doctoral Thesis / Dissertation from the year 2007 in the subject Mathematics - Analysis, University of Constance (Fachbereich Mathematik & Statistik), language: English, abstract: Lattice-Bolt...

Averaging Methods in Nonlinear Dynamical Systems

Jan A. Sanders / Ferdinand Verhulst / James Murdock

<P>Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated...

Contributions to Nonlinear Analysis

This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u ?? u =|u| u in ? ×(0,+?) ? tt...

Algebraic Multiplicity of Eigenvalues of Linear Operators

Carlos Mora-Corral / Julián López-Gómez

<P>This book brings together all available results about the theory of algebraic multiplicities. It first offers a classic course on finite-dimensional spectral theory and then presents the ...

Control of Coupled Partial Differential Equations

Data Analysis, Classification and the Forward Search

<P>This book presents new developments in data analysis, classification and multivariate statistics, and in their algorithmic implementation. The volume offers contributions to the theory of...

Harmonic Analysis and Applications

<P>This self-contained volume in honor of John J. Benedetto covers a wide range of topics in harmonic analysis and related areas. These include weighted-norm inequalities, frame theory, wave...

Domain Decomposition Methods in Science and Engineering XVI

<P>Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models...

Weak Dependence: With Examples and Applications

Paul Doukhan / Sana Louhichi / Clémentine Prieur / Jérome Dedecker / Gabriel Lang / José Rafael Leon

<P>This book develops Doukhan/Louhichi's 1999 idea to measure asymptotic independence of a random process. The authors, who helped develop this theory, propose examples of models fitting...

The History of Approximation Theory

Karl-Georg Steffens

<P>* Exciting exposition integrates history, philosophy, and mathematics</P><P>* Combines a mathematical analysis of approximation theory with an engaging discussion of the diffe...

Complex, Contact and Symmetric Manifolds

<P>*&nbsp;Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology</P><P...

Polynomial Convexity

Edgar Lee Stout

<P>This comprehensive monograph details polynomially convex sets. It presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-d...

High Performance Computing in Science and Engineering ' 06

<P>This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) ...