Search Results

ENGLISH

Singular Perturbations I - Spaces And Singular Perturbations On Manifolds Without Boundary

by L.S. Frank

58,29€ + 10% CARD

 Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order.
ENGLISH

Boundary Value Problems In Mechanics Of Nonhomogeneous Fluids

by A.V. Kazhiktov, S.N. Antontsev e V.N. Monakhov

58,29€ + 10% CARD

 The objective of this book is to report the results of investigations made by the authors into certain hydrodynamical models with nonlinear systems of partial differential equations.The investigations involve the results concerning Navier-Stokes equations of viscous heat-conductive gas, incompressible nonhomogeneous fluid and filtration of multi-phase mixture in a porous medium. The correctness of the initial boundary-value problems and the qualitative properties of solutions are also considered. The book is written for those who are interested in the theory of nonlinear partial differential equations and their applications in mechanics.
ENGLISH

Augmented Lagrangian Methods - Applications To The Numerical Solution Of Boundary-Value Problems

by M. Fortin e R. Glowinski

115,28€ + 10% CARD

 The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
ENGLISH

Enzyme Mathematics - Enzyme Mathematics

58,29€ + 10% CARD

 Enzyme Mathematics
ENGLISH

Asymptotic Analysis Of Singular Perturbations

by W. Eckhaus

113,95€ + 10% CARD

 Asymptotic Analysis of Singular Perturbations
ENGLISH

Mathematical Methods Of Game And Economic Theory

by J.-P. Aubin

58,29€ + 10% CARD

 This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.
ENGLISH

Theory Of Extremal Problems - Theory Of Extremal Problems

58,29€ + 10% CARD

 Theory of Extremal Problems
ENGLISH

Differential Forms In Mathematical Physics - Differential Forms In Mathematical Physics

58,29€ + 10% CARD

 Differential Forms in Mathematical Physics
ENGLISH

Convex Analysis And Variational Problems - Convex Analysis And Variational Problems

58,29€ + 10% CARD

 Convex Analysis and Variational Problems
ENGLISH

Computer Solution Of Large Linear Systems

by Gerard Meurant

178,88€ + 10% CARD

 A guide to numerical methods for solving large sparse linear systems of equations, in particular those arising from the discretization of partial differential equations. This text covers both direct and iterative methods, including Gaussian elimination and alternating directions algorithms.
ENGLISH

Mathematical Problems In Elasticity And Homogenization

by A.S. Shamaev, G.A. Yosifian e O.A. Oleinik

58,29€ + 10% CARD

 This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof.It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.
ENGLISH

Pseudo-Differential Operators On Manifolds With Singularities

by B.-W. Schulze

58,29€ + 10% CARD

 The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics.The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.
ENGLISH

Scattering Theory For Hyperbolic Operators

by V. Petkov

58,29€ + 10% CARD

 Scattering Theory for dissipative and time-dependent systems has been intensively studied in the last fifteen years. The results in this field, based on various tools and techniques, may be found in many published papers.This monograph presents an approach which can be applied to spaces of both even and odd dimension. The ideas on which the approach is based are connected with the RAGE type theorem, with Enss'' decomposition of the phase space and with a time-dependent proof of the existence of the operator W which exploits the decay of the local energy of the perturbed and free systems. Some inverse scattering problems for time-dependent potentials, and moving obstacles with an arbitrary geometry, are also treated in the book.
ENGLISH

Difference Schemes - An Introduction To The Underlying Theory

by S.K. Godunov e V.S. Ryabenkii

58,29€ + 10% CARD

 Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.
ENGLISH

Mathematical Models In Environmental Problems

by G.I. Marchuk

113,95€ + 10% CARD

 Mathematical Models in Environmental Problems
ENGLISH

Finite Element Method For Elliptic Problems

by P.G. Ciarlet

58,29€ + 10% CARD

 The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject.On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author''s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6.On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments should provide many suggestions for conducting seminars.
ENGLISH

Asymptotic Analysis For Periodic Structures

by A. Bensoussan, G. Papanicolau e J.-L. Lions

58,29€ + 10% CARD

 Asymptotic Analysis for Periodic Structures
ENGLISH

Patterns And Waves - Qualitative Analysis Of Nonlinear Differential Equations

115,28€ + 10% CARD

 Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.
ENGLISH

Applications Of Variational Inequalities In Stochastic Control

by A. Bensoussan e J.-L. Lions

115,28€ + 10% CARD

 Applications of Variational Inequalities in Stochastic Control
ENGLISH

Nonlinear Partial Differential Equations And Their Applications - College De France Seminar Volume Xiv

by Doina Cioranescu e Jaques-Louis Lions

145,75€ + 10% CARD

 This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions.The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computationsThe book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.
ENGLISH

Attractors Of Evolution Equations

by A.V. Babin e M.I. Vishik

58,29€ + 10% CARD

 Problems, ideas and notions from the theory of finite-dimensional dynamical systems have penetrated deeply into the theory of infinite-dimensional systems and partial differential equations. From the standpoint of the theory of the dynamical systems, many scientists have investigated the evolutionary equations of mathematical physics. Such equations include the Navier-Stokes system, magneto-hydrodynamics equations, reaction-diffusion equations, and damped semilinear wave equations. Due to the recent efforts of many mathematicians, it has been established that the attractor of the Navier-Stokes system, which attracts (in an appropriate functional space) as t - infinity all trajectories of this system, is a compact finite-dimensional (in the sense of Hausdorff) set. Upper and lower bounds (in terms of the Reynolds number) for the dimension of the attractor were found. These results for the Navier-Stokes system have stimulated investigations of attractors of other equations of mathematical physics. For certain problems, in particular for reaction-diffusion systems and nonlinear damped wave equations, mathematicians have established the existence of the attractors and their basic properties; furthermore, they proved that, as t - +infinity, an infinite-dimensional dynamics described by these equations and systems uniformly approaches a finite-dimensional dynamics on the attractor U, which, in the case being considered, is the union of smooth manifolds. This book is devoted to these and several other topics related to the behaviour as t - infinity of solutions for evolutionary equations.
ENGLISH

Mathematical Models And Finite Elements For Reservoir Simulation - Single Phase, Multiphase And Multicomponent Flows Through Porous Media

by G. Chavent e J. Jaffre

58,29€ + 10% CARD

 Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers.The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure'' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced.Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.
ENGLISH

Introduction To The Theory Of Linear Partial Differential Equations

by A. Piriou e J. Chazarain

115,28€ + 10% CARD

 Introduction to the Theory of Linear Partial Differential Equations
ENGLISH

Spectral Transform And Solitons

by A. Degasperis e F. Calogero

115,28€ + 10% CARD

 Spectral Transform and Solitons
Loading results...

View more results