On the Conversion of Boundary-value Problems Into Stable Initial-value Problems Via Several Invariant Imbedding Algorithms

On the Conversion of Boundary-value Problems Into Stable Initial-value Problems Via Several Invariant Imbedding Algorithms PDF Author: Melvin R. Scott
Publisher:
ISBN:
Category :
Languages : en
Pages : 70

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On the Conversion of Boundary-value Problems Into Stable Initial-value Problems Via Several Invariant Imbedding Algorithms

On the Conversion of Boundary-value Problems Into Stable Initial-value Problems Via Several Invariant Imbedding Algorithms PDF Author: Melvin R. Scott
Publisher:
ISBN:
Category :
Languages : en
Pages : 70

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Book Description


Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations

Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations PDF Author: A.K. Aziz
Publisher: Academic Press
ISBN: 1483267997
Category : Mathematics
Languages : en
Pages : 380

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Book Description
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.

Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

Numerical Solution of Boundary Value Problems for Ordinary Differential Equations PDF Author: Uri M. Ascher
Publisher: SIAM
ISBN: 9781611971231
Category : Mathematics
Languages : en
Pages : 620

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Book Description
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.

Codes for Boundary-Value Problems in Ordinary Differential Equations

Codes for Boundary-Value Problems in Ordinary Differential Equations PDF Author: B. Childs
Publisher: Springer Science & Business Media
ISBN: 9783540095545
Category : Computers
Languages : en
Pages : 408

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Book Description
Conceptually, a database consists of objects and relationships. Object Relationship Notation (ORN) is a simple notation that more precisely defines relationships by combining UML multiplicities with uniquely defined referential actions. Object Relationship Notation (ORN) for Database Applications: Enhancing the Modeling and Implementation of Associations shows how ORN can be used in UML class diagrams & database definition languages (DDLs) to better model & implement relationships & thus more productively develop database applications. For the database developer, it presents many examples of relationships modeled using ORN-extended class diagrams & shows how these relationships are easily mapped to an ORN-extended SQL or Object DDL. For the DBMS developer, it presents the specifications & algorithms needed to implement ORN in a relational and object DBMS. This book also describes tools that can be downloaded or accessed via the Web. These tools allow databases to be modeled using ORN and implemented using automatic code generation that adds ORN support to Microsoft SQL Server and Progress Object Store.

Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding

Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding PDF Author:
Publisher: Academic Press
ISBN: 0080956092
Category : Mathematics
Languages : en
Pages : 237

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Book Description
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; andmethods 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 particularbranches, 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

Numerical Solution of Nonlinear Boundary Value Problems with Applications

Numerical Solution of Nonlinear Boundary Value Problems with Applications PDF Author: Milan Kubicek
Publisher: Courier Corporation
ISBN: 0486463001
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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.

Handbook of Differential Equations

Handbook of Differential Equations PDF Author: Daniel Zwillinger
Publisher: Academic Press
ISBN: 1483220966
Category : Mathematics
Languages : en
Pages : 694

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Book Description
Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 978

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SIAM Journal on Numerical Analysis

SIAM Journal on Numerical Analysis PDF Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 652

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Book Description
Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1036

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