1 edition of **Group Invariance in Engineering Boundary Value Problems** found in the catalog.

- 205 Want to read
- 39 Currently reading

Published
**1985**
by Springer New York in New York, NY
.

Written in English

- Engineering,
- Engineering design

**Edition Notes**

Statement | by R. Seshadri, T. Y. Na |

Contributions | Na, T. Y. |

Classifications | |
---|---|

LC Classifications | TA174 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (224p.) |

Number of Pages | 224 |

ID Numbers | |

Open Library | OL27041938M |

ISBN 10 | 1461295645, 1461251028 |

ISBN 10 | 9781461295648, 9781461251026 |

OCLC/WorldCa | 852788859 |

On the Nonlocal Symmetries, Group Invariant Solutions and Conservation Laws of the Equations of Nonlinear Dynamical Compressible Elasticity Chapter Full-text available. Group analysis in theory of distributions and boundary value problems; Invariance principles in nonlinear modelling; Classical heritage of Lie group analysis: Developments in history and language; II. Applications: Symmetries of differential and integro-differential equations and group methods of integration of systems of equations.

Variable illumination and invariant features for detecting and classifying varnish defects Author: Pérez Grassi, Ana Book Series: Forschungsberichte aus der Industriellen Informationstechnik / Institut für Industrielle Informationstechnik (IIIT), Karlsruher Institut für Technologie ISSN: ISBN: Year: Volume. A new definition of conditional invariance for boundary value problems involving a wide range of boundary conditions (including initial value problems as a special case) is proposed. It is shown that other definitions worked out in order to find Lie symmetries of boundary value problems with standard boundary conditions, followed as particular cases from our by:

03/11/20 - The aim of this work is to point out that the class of free boundary problems governed by second order autonomous ordinary differe. The unsteady incompressible laminar flow in a semi-infinite porous circular pipe with injection or suction through the pipe wall whose radius varies with time is considered. The present analysis simulates the flow field by the burning of inner surface of cylindrical grain in a solid rocket motor, in which the burning surface regresses with time. We apply Lie-group method for determining Cited by:

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Chapter 1 INTRODUCTION AND GENERAL OUTLINE Physical problems in engineering science are often described by dif ferential models either linear or nonlinear.

There is also an abundance of transformations of various types that appear in the literature of engineer ing and mathematics that are generally aimed at obtaining some sort of simplification of a differential by: Chapter 1 INTRODUCTION AND GENERAL OUTLINE Physical problems in engineering science are often described by dif ferential models either linear or nonlinear.

There is also an abundance of transformations of various types that appear in the literature of engineer ing and mathematics that are generally aimed at obtaining some sort of simplification of a differential : Springer-Verlag New York.

Group Invariance in Engineering Boundary Value Problems. Find all books from At you can find used, antique and new books, compare results and immediately purchase your selection at the best price.

REFEREN CES. 9 of a Boundary Value Problem Brand: Springer US. Group Invariance In Engineering Boundary Value Problems Home About The. Normalized Representation and Dimensional Consideration REFERENCES Problems. References.- 2 Concepts of Continuous Transformation Groups.- Introduction.- Group Approach.- Transformation Groups.- The Concept of an Infinitesimal Transformation.- Relation Between Global and Infinitesimal Groups Transformations.- The Concept of Invariance.- Invariance of Differential Equations Under Groups of Transformations.- The Extended.

Purchase Factorization of Boundary Value Problems Using the Invariant Embedding Method - 1st Edition. Print Book & E-Book. ISBNIn a transformation method, the numerical solution of a given boundary value problem is obtained by solving one or more related initial value problems.

ABSTRACTWe study boundary value problems for some differential operators on Euclidean space and the Heisenberg group which are invariant under the conformal group of a Euclidean subspace, respectively, Heisenberg subgroup. These operators are shown to be self-adjoint in certain Sobolev type spaces and the related boundary value problems are proven to have unique Cited by: 5.

Multiplicity Results for Integral Boundary Value Problems of Fractional Order with Parametric Dependence; Fractional Calculus and Applied Analysis, Vol Issue 1, Pages –, Mathematical Problems in Engineering,VolumePage 1. DOI: //Cited by: Get this from a library. Group Invariance in Engineering Boundary Value Problems.

[R Seshadri; T Y Na] -- REFEREN CES. 9 of a Boundary Value Problem to an Initial Value Problem. Introduction. Blasius Equation in Boundary Layer Flow. Group invariance in engineering boundary value problems.

[R Seshadri; T Y Na] Uniform Propagation Regime.- From Translation to Dimensional Group Invariance.- Summary.- References.- 9 Transformation of a Boundary Value Problem to an Initial Value Problem.- Introduction.- Blasius Equation in Boundary Layer Flow.- It is commonly believed that similarity analysis of boundary value problems in science and engineering is domain-and-boundary condition limited, in that semi-infinite or infinite domains are : R.

Seshadri, T. Book Reviews "Symposium Transsonicum II (IUTAM)", Canadian Aeronautics and Space Journal, 24 (), "Group Invariance in Engineering Boundary Value Problems", by R. Seshadri and T.Y. Na, SIAM Review, 28 (), Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

An elementary text should be written so the student can read it with comprehension without too much pain/5(7). Mathematics in Science and Engineering. Articles and issues. Latest volume All volumes. Search in this book series. Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding.

Edited by Gunter H. Meyer. VolumePages iii-xiii, (). Transforming Boundary Conditions to Initial Conditions for Ordinary Differential Equations. Related Databases. Web of Science Transformation of a Boundary Value Problem to an Initial Value Problem.

Group Invariance in Engineering Boundary Value Problems, Supplementary by: an initial value solver. In fact, the scaling invariance analysis allows us to reduce the original class of problems to a class of free boundary problems governed by ordinary differential equations.

As pointed out ﬁrst by Lan dau [23], free or mov-ing boundary problems are always non-linear, and thereforethey are often solved numerically.

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Book in given list is: 7-Fundamental Methods of Mathematical Economics 4ed, by Alpha C. > Boundary Value Problems and Partial Differential Equations 6e by David Powers >. In subsequent sections, the invariance group method is illustrated for a number of physical models and applied to a diversity of boundary value problems.

It is noted that much of the group analysis described herein can be conducted using symbolic computation packages such as MACSYMA, MAPLE, muMATH, REDUCE and SCRATCHPAD. Boundary value problems for singularly perturbed equations often have singular solutions with internal and boundary layers.

This paper addresses the question of when singular solutions to such problems correspond to nearby actual ones. We give a geometric method based on one version of the “exchange lemma,” which is used to track an invariant manifold (such as the manifold of solutions Cited by:.

"Differential Equations with Boundary-Value Problems" gives excellent explanations and examples for the techniques required to write and solve DE problems. This book is particularly good because it includes more solutions steps in the examples than many textbooks.

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This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples.