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Author : Robert Dautray
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 1900
Category : Mathematical analysis
ISBN : LCCN:88015089
Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 45,9 Mb
Release : 1999-11-23
Category : Mathematics
ISBN : 3540660992
The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 734 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615276
These 6 volumes -- the result of a 10 year collaboration between the authors, both distinguished international figures -- compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way.
Author : Hervé Le Dret,Brigitte Lucquin
Publisher : Birkhäuser
Page : 395 pages
File Size : 41,8 Mb
Release : 2016-02-11
Category : Mathematics
ISBN : 9783319270678
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.
Author : Klaus Böhmer
Publisher : Oxford University Press
Page : 775 pages
File Size : 42,5 Mb
Release : 2010-10-07
Category : Computers
ISBN : 9780199577040
Boehmer systmatically handles the different numerical methods for nonlinear elliptic problems.
Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 847 pages
File Size : 41,6 Mb
Release : 2013-10-10
Category : Mathematics
ISBN : 9781611972580
This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.
Author : Robert Dautray,Jacques-Louis Lions
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 42,5 Mb
Release : 1999-11-23
Category : Mathematics
ISBN : 3540661026
These six volumes--the result of a ten year collaboration between two distinguished international figures--compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. It is a comprehensive and up-to-date publication that presents the mathematical tools needed in applications of mathematics.
Author : G. F. Roach,I. G. Stratis,A. N. Yannacopoulos
Publisher : Princeton University Press
Page : 399 pages
File Size : 45,5 Mb
Release : 2012-03-04
Category : Mathematics
ISBN : 9780691142173
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.
Author : Luc Tartar
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 55,5 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540714835
After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
Author : David Gottlieb,Steven A. Orszag
Publisher : SIAM
Page : 167 pages
File Size : 40,6 Mb
Release : 1977-01-01
Category : Technology & Engineering
ISBN : 9780898710236
A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Author : Peter Knabner,Lutz Angermann
Publisher : Springer Nature
Page : 811 pages
File Size : 53,5 Mb
Release : 2021-11-19
Category : Mathematics
ISBN : 9783030793852
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
Author : Luc Tartar
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 52,9 Mb
Release : 2006-08-25
Category : Mathematics
ISBN : 9783540365457
This text corresponds to a graduate mathematics course taught at Carnegie Mellon University in the spring of 1999. Included are comments added to the lecture notes, a bibliography containing 23 items, and brief biographical information for all scientists mentioned in the text, thus showing that the creation of scientific knowledge is an international enterprise.
Author : Wolfgang Arendt,Ralph Chill,Yuri Tomilov
Publisher : Birkhäuser
Page : 496 pages
File Size : 41,8 Mb
Release : 2015-12-10
Category : Mathematics
ISBN : 9783319184944
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers.
Author : Weijiu Liu
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 52,7 Mb
Release : 2009-12-01
Category : Mathematics
ISBN : 9783642046131
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Author : Lyle Albright
Publisher : CRC Press
Page : 1930 pages
File Size : 42,6 Mb
Release : 2008-11-20
Category : Science
ISBN : 9781420014389
Taking greater advantage of powerful computing capabilities over the last several years, the development of fundamental information and new models has led to major advances in nearly every aspect of chemical engineering. Albright's Chemical Engineering Handbook represents a reliable source of updated methods, applications, and fundamental co
