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 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

Get Book Here

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.

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

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.

Handbook of Differential Equations

Handbook of Differential Equations PDF Author: Daniel Zwillinger
Publisher: Academic Press
ISBN: 1483263967
Category : Mathematics
Languages : en
Pages : 808

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Book Description
Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods. Topics covered range from transformations and constant coefficient linear equations to Picard iteration, along with conformal mappings and inverse scattering. Comprised of 192 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.

Solution Methods for Integral Equations

Solution Methods for Integral Equations PDF Author: M. A. Goldberg
Publisher: Springer Science & Business Media
ISBN: 1475714661
Category : Science
Languages : en
Pages : 351

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Book Description


Recent Developments in Theoretical and Experimental Fluid Mechanics

Recent Developments in Theoretical and Experimental Fluid Mechanics PDF Author: U. Müller
Publisher: Springer Science & Business Media
ISBN: 3642672205
Category : Science
Languages : en
Pages : 663

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Book Description
Dedicated to Prof. Dr.-Ing. J. Zierep

Transport Theory

Transport Theory PDF Author: Paul Nelson
Publisher: CRC Press
ISBN: 1000951502
Category : Mathematics
Languages : en
Pages : 482

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Book Description
This book includes seminal papers on technical subjects - transport theory, invariant imbedding, and integral equations - presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.

International Aerospace Abstracts

International Aerospace Abstracts PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1042

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Book Description


ASME Technical Papers

ASME Technical Papers PDF Author:
Publisher:
ISBN:
Category : Mechanical engineering
Languages : en
Pages : 908

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Book Description


Numerical Methods in Thermal Problems

Numerical Methods in Thermal Problems PDF Author:
Publisher:
ISBN:
Category : Heat engineering
Languages : en
Pages : 1078

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Book Description