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Finite Element Exterior Calculus, Douglas N. Arnold


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Автор: Douglas N. Arnold
Название:  Finite Element Exterior Calculus
ISBN: 9781611975536
Издательство: Mare Nostrum (Eurospan)
Классификация:







ISBN-10: 1611975530
Обложка/Формат: Paperback
Страницы: 120
Вес: 0.28 кг.
Дата издания: 30.01.2019
Серия: Cbms-nsf regional conference series in applied mathematics
Язык: English
Размер: 177 x 256 x 7
Читательская аудитория: Professional and scholarly
Ключевые слова: Applied mathematics,Numerical analysis,Differential & Riemannian geometry,Calculus & mathematical analysis,Differential calculus & equations,Algebraic topology
Основная тема: Calculus & mathematical analysis,Differential calculus & equations,Numerical analysis,Differential & Riemannian geometry,Algebraic topology,Applied mathematics
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Поставляется из: Англии
Описание: Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world—wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more—are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Дополнительное описание: Applied mathematics|Numerical analysis|Differential and Riemannian geometry|Algebraic topology|Differential calculus and equations


Ansys mechanical apdl for finite element analysis

Автор: Thompson, Mary Kathryn Thompson, John Martin
Название: Ansys mechanical apdl for finite element analysis
ISBN: 0128129816 ISBN-13(EAN): 9780128129814
Издательство: Elsevier Science
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Цена: 98800.00 T
Наличие на складе: Поставка под заказ.
Описание: ANSYS Mechanical APDL for Finite Element Analysis provides a hands-on introduction to engineering analysis using one of the most powerful commercial general purposes finite element programs on the market. Students will find a practical and integrated approach that combines finite element theory with best practices for developing, verifying, validating and interpreting the results of finite element models, while engineering professionals will appreciate the deep insight presented on the program’s structure and behavior. Additional topics covered include an introduction to commands, input files, batch processing, and other advanced features in ANSYS. . The book is written in a lecture/lab style, and each topic is supported by examples, exercises and suggestions for additional readings in the program documentation. Exercises gradually increase in difficulty and complexity, helping readers quickly gain confidence to independently use the program. This provides a solid foundation on which to build, preparing readers to become power users who can take advantage of everything the program has to offer.

Exterior Differential Systems and the Calculus of Variations

Автор: P.A. Griffiths
Название: Exterior Differential Systems and the Calculus of Variations
ISBN: 0817631038 ISBN-13(EAN): 9780817631031
Издательство: Springer
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Цена: 74490.00 T
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Описание: Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn;

Exterior Differential Systems

Автор: Robert L. Bryant; S.S. Chern; Robert B. Gardner; H
Название: Exterior Differential Systems
ISBN: 1461397162 ISBN-13(EAN): 9781461397168
Издательство: Springer
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Цена: 111790.00 T
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Описание: An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system.

Exterior Differential Systems and Equivalence Problems

Автор: Kichoon Yang
Название: Exterior Differential Systems and Equivalence Problems
ISBN: 0792315936 ISBN-13(EAN): 9780792315933
Издательство: Springer
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Цена: 88500.00 T
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Описание: This monograph presents a concise account of exterior differential system theory so that it can be quickly applied to problems. The first part deals with the general theory, while the second part focuses on applications to problems in differential geometry.

Examples in Finite Differences, Calculus and Probability

Автор: Freeman
Название: Examples in Finite Differences, Calculus and Probability
ISBN: 1316612783 ISBN-13(EAN): 9781316612781
Издательство: Cambridge Academ
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Цена: 22170.00 T
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Описание: Originally published in 1936, this detailed textbook is a companion to the 1931 publication An Elementary Treatise on Actuarial Mathematics and is intended to provide further examples for learning, practice and revision. Contained is a vast selection of examples on finite differences, calculus and probability, in the hope `that the supplement will prove of value to students.

Exterior Algebras

Автор: Pavan, Vincent
Название: Exterior Algebras
ISBN: 1785482378 ISBN-13(EAN): 9781785482373
Издательство: Elsevier Science
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Цена: 101060.00 T
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Описание:

Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.


  • Presents a self-contained guide that does not require any specific algebraic background
  • Includes numerous examples and direct applications that are suited for beginners

Exterior Billiards

Автор: Alexander Plakhov
Название: Exterior Billiards
ISBN: 1489999132 ISBN-13(EAN): 9781489999139
Издательство: Springer
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Цена: 102480.00 T
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Описание: Surveying the nature of dynamical systems, in which a point particle alternates between free motion and specular reflections from the boundary of a domain, this book assesses the ways in which they can be applied to aerodynamics as well as geometrical optics.

Finite Element Methods for Engineers

Автор: Fenner Roger T
Название: Finite Element Methods for Engineers
ISBN: 1848168861 ISBN-13(EAN): 9781848168862
Издательство: World Scientific Publishing
Цена: 47520.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is intended as a textbook providing a deliberately simple introduction to finite element methods in a way that should be readily understandable to engineers, both students and practising professionals. Only the very simplest elements are considered, mainly two dimensional three-noded “constant strain triangles”, with simple linear variation of the relevant variables. Chapters of the book deal with structural problems (beams), classification of a broad range of engineering into harmonic and biharmonic types, finite element analysis of harmonic problems, and finite element analysis of biharmonic problems (plane stress and plane strain). Full FORTRAN programs are listed and explained in detail, and a range of practical problems solved in the text. Despite being somewhat unfashionable for general programming purposes, the FORTRAN language remains very widely used in engineering. The programs listed, which were originally developed for use on mainframe computers, have been thoroughly updated for use on desktops and laptops. Unlike the first edition, the new edition has problems (with solutions) at the end of each chapter.Electronic copies of all the computer programs displayed in the book can be downloaded at: http: //www.worldscientific.com/doi/suppl/10.1142/p847/suppl_file/p847_program.zip.


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