A Method for Determining the Parameters of Ordinary Differential Equations PDF Download
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Author: Charles Eugene Knadler
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 58
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Book Description
The report presents a method for determining the parameters of ordinary differential equations, where it is not necessary that the equation have a closed-form solution. DIFRED, a computer data-reduction program utilizing the method, is also described. The program is written for an IBM 7090 computer operating under the IBSYS monitor. The mathematical formulation of the method is presented, and the FORTRAN listing of DIFRED and instructions for its use are included. (Author).
Author: Charles Eugene Knadler
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 58
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Book Description
The report presents a method for determining the parameters of ordinary differential equations, where it is not necessary that the equation have a closed-form solution. DIFRED, a computer data-reduction program utilizing the method, is also described. The program is written for an IBM 7090 computer operating under the IBSYS monitor. The mathematical formulation of the method is presented, and the FORTRAN listing of DIFRED and instructions for its use are included. (Author).
Author: Charles E Knadler (Jr)
Publisher:
ISBN:
Category :
Languages : en
Pages : 35
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Book Description
The report presents a method for determining the parameters of ordinary differential equations, where it is not necessary that the equation have a closed-form solution. DIFRED, a computer data-reduction program utilizing the method, is also described. The program is written for an IBM 7090 computer operating under the IBSYS monitor. The mathematical formulation of the method is presented, and the FORTRAN listing of DIFRED and instructions for its use are included. (Author).
Author: Kai Yao
Publisher: Springer
ISBN: 3662527294
Category : Technology & Engineering
Languages : en
Pages : 166
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Book Description
This book introduces readers to the basic concepts of and latest findings in the area of differential equations with uncertain factors. It covers the analytic method and numerical method for solving uncertain differential equations, as well as their applications in the field of finance. Furthermore, the book provides a number of new potential research directions for uncertain differential equation. It will be of interest to researchers, engineers and students in the fields of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, automation, economics, and management science.
Author: L. V. Ovsiannikov
Publisher: Academic Press
ISBN: 1483219062
Category : Mathematics
Languages : en
Pages : 433
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Book Description
Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie groups and Lie algebras and its application to creating algorithms for solving the problems of the group analysis of differential equations. This text is organized into eight chapters. Chapters I to III describe the one-parameter group with its tangential field of vectors. The nonstandard treatment of the Banach Lie groups is reviewed in Chapter IV, including a discussion of the complete theory of Lie group transformations. Chapters V and VI cover the construction of partial solution classes for the given differential equation with a known admitted group. The theory of differential invariants that is developed on an infinitesimal basis is elaborated in Chapter VII. The last chapter outlines the ways in which the methods of group analysis are used in special issues involving differential equations. This publication is a good source for students and specialists concerned with areas in which ordinary and partial differential equations play an important role.
Author: Pavel B. Bochev
Publisher: Springer Science & Business Media
ISBN: 0387689222
Category : Mathematics
Languages : en
Pages : 669
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Book Description
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
Author: Michael Edward McCrea
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 78
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Book Description
Author: Abraham Cohen
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 262
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Book Description
Author: T.P. Dreyer
Publisher: Routledge
ISBN: 1351430696
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
Author: Hans Petter Langtangen
Publisher: Springer
ISBN: 3319327267
Category : Mathematics
Languages : en
Pages : 149
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Book Description
The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.
Author: James Benson MicKlethwait
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 68
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Book Description
