Differential calculus and equations

The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics.

The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems.

This volume is the result of lectures delivered at the second meeting on the subject of nonlinear partial differential equations, held at Tohoku University, 27-29 February 1984.

Transmutation Theory and Applications

Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al.

This volume forms a record of the lectures given at this International Conference.

Differential Calculus and Holomorphy

Nonlinear Partial Differential Equations

Transmutation and Operator Differential Equations

Differential Equations and Applications

New Developments in Differential Equations

This handbook is the sixth and last volume in the series devoted to stationary partial differential equations.

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.

A collection of self contained state-of-the art surveys.

There is an ever increasing need for modelling complex processes reliably.

Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches.

Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery.

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the College de France in Paris, directed by Jacques-Louis Lions.

This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations.

Over the past fifty years, the development of chaotic dynamical systems theory and its subsequent wide applicability in science and technology has been an extremely important achievement of modern mathematics.

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories.

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject.

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations.

This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems.

The book contains seven survey papers about ordinary differential equations.

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order.

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions.

This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations.

Banach Spaces

This book has evolved from the lecture course on Functional Analysis I had given several times at the ETH.

General Theory of C*-Algebras

The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications.

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations.

This book is a compilation of several works from well-recognized figures in the field of Representation Theory.

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

A collection of self contained state-of-the art surveys.

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations.

Straightforward and easy to read, Zill's Differential Equations with Boundary-Value Problems, International Metric Edition, 10th Edition gives you a thorough overview of the topics typically taught in a differential equations first course as well as an introduction to boundary-value problems and partial differential equations.

Modeling has become an essential tool for the groundwater hydrologist.

The book could be a good companion for any graduate student in partial differential equations or in applied mathematics.

Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.

This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002.

The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems.

Boundary Value Problems, Fifth Edition, is the leading text on boundary value problems and Fourier series.

The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's.

This handbook is volume III in a series devoted to stationary partial differential quations.

This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area.

This book introduces the method of lower and upper solutions for ordinary differential equations.

This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time.