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On Boundary Layer Problems In The Theory Of Ordinary Differential Equations
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Book Synopsis On Boundary Layer Problems in the Theory of Ordinary Differential Equations by : Wolfgang Richard Wasow
Download or read book On Boundary Layer Problems in the Theory of Ordinary Differential Equations written by Wolfgang Richard Wasow and published by . This book was released on 1942 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research concerns linear ordinary differential equations depending in such a way on a parameter rho that the 'limit' differential equation obtained by letting rho tend to infinity in the differential equation is of lower order than the original one.
Book Synopsis On Boundary Layer Problems in the Theory of Ordinary Differential Equations by : Wolfgang Richard Wasow
Download or read book On Boundary Layer Problems in the Theory of Ordinary Differential Equations written by Wolfgang Richard Wasow and published by . This book was released on 1942 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations by : A.K. Aziz
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.
Book Synopsis Mathematical Models in Boundary Layer Theory by : V.N. Samokhin
Download or read book Mathematical Models in Boundary Layer Theory written by V.N. Samokhin and published by Routledge. This book was released on 2018-05-02 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. Mathematical Models in Boundary Layer Theory offers the first systematic exposition of the mathematical methods and main results of the theory. Beginning with the basics, the authors detail the techniques and results that reveal the nature of the equations that govern the flow within boundary layers and ultimately describe the laws underlying the motion of fluids with small viscosity. They investigate the questions of existence and uniqueness of solutions, the stability of solutions with respect to perturbations, and the qualitative behavior of solutions and their asymptotics. Of particular importance for applications, they present methods for an approximate solution of the Prandtl system and a subsequent evaluation of the rate of convergence of the approximations to the exact solution. Written by the world's foremost experts on the subject, Mathematical Models in Boundary Layer Theory provides the opportunity to explore its mathematical studies and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and muliphase media. With the theory's importance to a wide variety of applications, applied mathematicians-especially those in fluid dynamics-along with engineers of aeronautical and ship design will undoubtedly welcome this authoritative, state-of-the-art treatise.
Book Synopsis Mathematical Problems of Boundary Layer Theory by : O. A. Oleĭnik
Download or read book Mathematical Problems of Boundary Layer Theory written by O. A. Oleĭnik and published by . This book was released on 1969 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods and Applications of Singular Perturbations by : Ferdinand Verhulst
Download or read book Methods and Applications of Singular Perturbations written by Ferdinand Verhulst and published by Springer Science & Business Media. This book was released on 2006-06-04 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Book Synopsis The Theory of Singular Perturbations by : E.M. de Jager
Download or read book The Theory of Singular Perturbations written by E.M. de Jager and published by Elsevier. This book was released on 1996-11-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Gåding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises.
Book Synopsis On the Asymptotic Behavior of the Solutions of Boundary Problems for Quasilinear Differential Equations by : M. I. Vishik
Download or read book On the Asymptotic Behavior of the Solutions of Boundary Problems for Quasilinear Differential Equations written by M. I. Vishik and published by . This book was released on 1967 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Partial Differential Equations by : W. F. Ames
Download or read book Nonlinear Partial Differential Equations written by W. F. Ames and published by Academic Press. This book was released on 2014-05-12 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.
Book Synopsis Spectral Theory and Asymptotics of Differential Equations by :
Download or read book Spectral Theory and Asymptotics of Differential Equations written by and published by Elsevier. This book was released on 2011-09-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory and Asymptotics of Differential Equations
Book Synopsis Partial Differential Equations by : George F. Carrier
Download or read book Partial Differential Equations written by George F. Carrier and published by Academic Press. This book was released on 2014-05-10 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial Differential Equations: Theory and Technique provides formal definitions, notational conventions, and a systematic discussion of partial differential equations. The text emphasizes the acquisition of practical technique in the use of partial differential equations. The book contains discussions on classical second-order equations of diffusion, wave motion, first-order linear and quasi-linear equations, and potential theory. Certain chapters elaborate Green's functions, eigenvalue problems, practical approximation techniques, perturbations (regular and singular), difference equations, and numerical methods. Students of mathematics will find the book very useful.
Book Synopsis New Methods in Laminar Boundary-layer Theory by : D. Meksyn
Download or read book New Methods in Laminar Boundary-layer Theory written by D. Meksyn and published by Pergamon. This book was released on 1961 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Boundary Value Problems for Ordinary Differential Equations by : Uri M. Ascher
Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Book Synopsis The Boundary Layer Problem for Certain Non-linear Ordinary Differential Equations by : Howard Gordon Bergmann
Download or read book The Boundary Layer Problem for Certain Non-linear Ordinary Differential Equations written by Howard Gordon Bergmann and published by . This book was released on 1949 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular-Perturbation Theory by : Donald R. Smith
Download or read book Singular-Perturbation Theory written by Donald R. Smith and published by Cambridge University Press. This book was released on 1985-08-30 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to singular perturbation problems. Since the nature of the nonuniformity can vary from case to case, the author considers and solves a variety of problems, mostly for ordinary differential equations.
Book Synopsis Numerical Solution of Nonlinear Boundary Value Problems with Applications by : Milan Kubicek
Download or read book Numerical Solution of Nonlinear Boundary Value Problems with Applications written by Milan Kubicek and published by Courier Corporation. This book was released on 2008-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
Book Synopsis Numerical Analysis of Boundary Layer Problems by : William D. Murphy
Download or read book Numerical Analysis of Boundary Layer Problems written by William D. Murphy and published by . This book was released on 1966 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
