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Author : Tai-Wai Fung
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (183 download)
Download or read book Singular Parabolic First Initial-boundary Value Problems written by Tai-Wai Fung and published by . This book was released on 1987 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. C. Strikwerda
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.F/5 ( download)
Download or read book Initial Boundary Value Problems for Incompletely Parabolic Systems written by J. C. Strikwerda and published by . This book was released on 1976 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with initial boundary value problems for incompletely parabolic systems of partial differential equations. Such systems can be described as a second order Petrovskii parabolic system and a first order hyperbolic system coupled together by terms with first order spatial derivatives. The dependent variables are then of either parabolic or hyperbolic type. Examples are the equations for couple sound and heat flow and the viscous shallow water equations.
Author : Heinz-Otto Kreiss
Publisher : SIAM
ISBN 13 : 0898715652
Total Pages : 408 pages
Book Rating : 4.8/5 (987 download)
Download or read book Initial-Boundary Value Problems and the Navier-Stokes Equation written by Heinz-Otto Kreiss and published by SIAM. This book was released on 2004-01-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.
Author : Benedict Man Lam Wong
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (219 download)
Download or read book Singular Parabolic Boundary Value Problems written by Benedict Man Lam Wong and published by . This book was released on 1990 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Samuil D. Eidelman
Publisher : Birkhäuser
ISBN 13 : 3034887671
Total Pages : 307 pages
Book Rating : 4.0/5 (348 download)
Download or read book Parabolic Boundary Value Problems written by Samuil D. Eidelman and published by Birkhäuser. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph is devoted to the theory of general parabolic boundary value problems. The vastness of this theory forced us to take difficult decisions in selecting the results to be presented and in determining the degree of detail needed to describe their proofs. In the first chapter we define the basic notions at the origin of the theory of parabolic boundary value problems and give various examples of illustrative and descriptive character. The main part of the monograph (Chapters II to V) is devoted to a the detailed and systematic exposition of the L -theory of parabolic 2 boundary value problems with smooth coefficients in Hilbert spaces of smooth functions and distributions of arbitrary finite order and with some natural appli cations of the theory. Wishing to make the monograph more informative, we included in Chapter VI a survey of results in the theory of the Cauchy problem and boundary value problems in the traditional spaces of smooth functions. We give no proofs; rather, we attempt to compare different results and techniques. Special attention is paid to a detailed analysis of examples illustrating and complementing the results for mulated. The chapter is written in such a way that the reader interested only in the results of the classical theory of the Cauchy problem and boundary value problems may concentrate on it alone, skipping the previous chapters.
Author : Wojciech M. Zajączkowski
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (121 download)
Download or read book On an Initial-boundary Value Problem for the Parabolic System which Appears in Free Boundary Problems for Compressible Navier-Stokes Equations written by Wojciech M. Zajączkowski and published by . This book was released on 1990 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adelaida B. Vasil'eva
Publisher : SIAM
ISBN 13 : 0898713331
Total Pages : 231 pages
Book Rating : 4.8/5 (987 download)
Download or read book The Boundary Function Method for Singular Perturbed Problems written by Adelaida B. Vasil'eva and published by SIAM. This book was released on 1995-01-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted solely to the boundary function method, which is one of the asymptotic methods.
Author : Guochun Wen
Publisher :
ISBN 13 : 9787030091277
Total Pages : 238 pages
Book Rating : 4.0/5 (912 download)
Download or read book Initial-boundary Value Problems for Nonlinear Parabolic Equations in Higher Dimensional Domains written by Guochun Wen and published by . This book was released on 2002 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Myra L. Schrader
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (189 download)
Download or read book Some Initial-boundary Value Problems for a Singular Partial Differential Equation written by Myra L. Schrader and published by . This book was released on 1975 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chaohao Gu
Publisher : Springer Science & Business Media
ISBN 13 : 9401111987
Total Pages : 193 pages
Book Rating : 4.4/5 (11 download)
Download or read book Partial Differential Equations in China written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians from the People's Republic of China and the rest of the world. The goal of this collection of papers is to summarize and introduce the historical progress of the development of PDEs in China from the 1950s to the 1980s. The results presented here were mainly published before the 1980s, but, having been printed in the Chinese language, have not reached the wider audience they deserve. Topics covered include, among others, nonlinear hyperbolic equations, nonlinear elliptic equations, nonlinear parabolic equations, mixed equations, free boundary problems, minimal surfaces in Riemannian manifolds, microlocal analysis and solitons. For mathematicians and physicists interested in the historical development of PDEs in the People's Republic of China.
Author : Donal O'regan
Publisher : World Scientific
ISBN 13 : 9814502006
Total Pages : 173 pages
Book Rating : 4.8/5 (145 download)
Download or read book Theory Of Singular Boundary Value Problems written by Donal O'regan and published by World Scientific. This book was released on 1994-04-29 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys some topics in the rapidly developing areas of regular and singular boundary value problems. It also provides a detailed account of the current state of the literature on existence theory for ordinary differential equations. Results are presented for finite and semi-infinite intervals. Singularities in both independent and dependent variables are discussed.
Author : Grigory I. Shishkin
Publisher : CRC Press
ISBN 13 : 0203492412
Total Pages : 409 pages
Book Rating : 4.2/5 (34 download)
Download or read book Difference Methods for Singular Perturbation Problems written by Grigory I. Shishkin and published by CRC Press. This book was released on 2008-09-22 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. The first part of the book e
Author : A.K. Aziz
Publisher : Academic Press
ISBN 13 : 1483267997
Total Pages : 380 pages
Book Rating : 4.4/5 (832 download)
Download or read book Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations written by A.K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.
Author : John C. Strikwerda
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (257 download)
Download or read book Initial Boundary Value Problems for Incompletely Parabolic Systems written by John C. Strikwerda and published by . This book was released on 1992 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 008095636X
Total Pages : 343 pages
Book Rating : 4.0/5 (89 download)
Download or read book Singular and Degenerate Cauchy Problems written by and published by Academic Press. This book was released on 1977-01-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : Alfred Carasso
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (44 download)
Download or read book Improperly Posed Boundary Value Problems written by Alfred Carasso and published by Pitman Publishing. This book was released on 1975 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. G. Sigillito
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (227 download)
Download or read book Pointwise Bounds for Solutions of the Second Initial-boundary Value Problem for Parabolic Equations written by V. G. Sigillito and published by . This book was released on 1965 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extension is given of the method to obtain pointwise bounds for the solutions of the first initial-boundary value problem for a semilinear parabolic equation. A method is given for obtaining interior pointwise bounds for solutions of the second initial-boundary value problem. The bounds obtained are in terms of L(2) integrals of the initial-boundary data; thus close bounds may be obtained, in the linear case, by applying the Rayleigh-Ritz Technique. The approximating functions used in the procedure need not satisfy either the differential equation or the initial-boundary data but only certain regularity conditions. (Author).
