Mechanics From Theory To Computation

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Differential Equations, Mechanics, and Computation

Author : Richard S. Palais
Publisher : American Mathematical Soc.
ISBN 13 : 0821821385
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Equations, Mechanics, and Computation by : Richard S. Palais

Download or read book Differential Equations, Mechanics, and Computation written by Richard S. Palais and published by American Mathematical Soc.. This book was released on 2009-11-13 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.

Information, Physics, and Computation

Author : Marc Mézard
Publisher : Oxford University Press
ISBN 13 : 019857083X
Total Pages : 584 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Information, Physics, and Computation by : Marc Mézard

Download or read book Information, Physics, and Computation written by Marc Mézard and published by Oxford University Press. This book was released on 2009-01-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.

Computational Contact Mechanics

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 252 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Computational Contact Mechanics by : Peter Wriggers

Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Mechanics: From Theory to Computation

Author : Journal of Nonlinear Science
Publisher : Springer Science & Business Media
ISBN 13 : 1461212464
Total Pages : 533 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mechanics: From Theory to Computation by : Journal of Nonlinear Science

Download or read book Mechanics: From Theory to Computation written by Journal of Nonlinear Science and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting in 1996, a sequence of articles appeared in the Journal of Nonlinear Science dedicated to the memory of one of its original editors, Juan-Carlos Simo, Applied Me chanics, Stanford University. Sadly, Juan-Carlos passed away at an early age in 1994. We lost a brilliant colleague and a wonderful person. These articles are collected in the present volume. Many of them are updated and corrected especially for this occasion. These essays are in areas of scientific interest of Juan-Carlos, including mechanics (particles, rigid bodies, fluids, elasticity, plastic ity, etc.), geometry, applied dynamics, and, of course, computation. His interests were extremely broad-he did not see boundaries between computation, mathematics, me chanics, and dynamics, and, in that sense, he ideally reflected the spirit of the journal and many of the most exciting areas of current scientific interest. Juan-Carlos was one of those select and gifted people who could cross interdisci plinary boundaries with extremely high quality and productive interactions of lasting value. His contributions, ranging from concrete engineering problems to fundamental mathematical theorems in geometric mechanics, are remarkable. In current conferences as well as in scientific books and articles, and over a wide range of subjects, one frequently hears how his ideas as well as specific results are often used and quoted-this is one indication of just how profound and fundamental his work has impacted the community.

Mechanics: From Theory to Computation

Author : Juan Carlos Simo
Publisher : Springer Science & Business Media
ISBN 13 : 9780387986630
Total Pages : 546 pages
Book Rating : 4.9/5 (866 download)

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Book Synopsis Mechanics: From Theory to Computation by : Juan Carlos Simo

Download or read book Mechanics: From Theory to Computation written by Juan Carlos Simo and published by Springer Science & Business Media. This book was released on 2000 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers in honour of Juan-Carlos Simo cover subjects including: dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods; gravity waves on the surface of the sphere; and problems and progress in microswimming.

Theory and Computation in Hydrodynamic Stability

Author : W. O. Criminale
Publisher : Cambridge University Press
ISBN 13 : 1108475337
Total Pages : 565 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Theory and Computation in Hydrodynamic Stability by : W. O. Criminale

Download or read book Theory and Computation in Hydrodynamic Stability written by W. O. Criminale and published by Cambridge University Press. This book was released on 2018-12-06 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.

Introduction to the Theory of Computation

Author : Michael Sipser
Publisher : Cengage Learning
ISBN 13 : 9781133187790
Total Pages : 0 pages
Book Rating : 4.1/5 (877 download)

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Book Synopsis Introduction to the Theory of Computation by : Michael Sipser

Download or read book Introduction to the Theory of Computation written by Michael Sipser and published by Cengage Learning. This book was released on 2012-06-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now you can clearly present even the most complex computational theory topics to your students with Sipser’s distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today’s computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser’s well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a better understanding of parsing and LR(k) grammars. This edition’s refined presentation ensures a trusted accuracy and clarity that make the challenging study of computational theory accessible and intuitive to students while maintaining the subject’s rigor and formalism. Readers gain a solid understanding of the fundamental mathematical properties of computer hardware, software, and applications with a blend of practical and philosophical coverage and mathematical treatments, including advanced theorems and proofs. INTRODUCTION TO THE THEORY OF COMPUTATION, 3E’s comprehensive coverage makes this an ideal ongoing reference tool for those studying theoretical computing. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Computational Contact Mechanics

Author : Alexander Konyukhov
Publisher : Springer Science & Business Media
ISBN 13 : 3642315313
Total Pages : 446 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computational Contact Mechanics by : Alexander Konyukhov

Download or read book Computational Contact Mechanics written by Alexander Konyukhov and published by Springer Science & Business Media. This book was released on 2012-08-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation. The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics.

Computational Analysis of Randomness in Structural Mechanics

Author : Christian Bucher
Publisher : CRC Press
ISBN 13 : 0203876539
Total Pages : 248 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis Computational Analysis of Randomness in Structural Mechanics by : Christian Bucher

Download or read book Computational Analysis of Randomness in Structural Mechanics written by Christian Bucher and published by CRC Press. This book was released on 2009-03-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proper treatment of structural behavior under severe loading - such as the performance of a high-rise building during an earthquake - relies heavily on the use of probability-based analysis and decision-making tools. Proper application of these tools is significantly enhanced by a thorough understanding of the underlying theoretical and computation

Introduction to Computational Contact Mechanics

Author : Alexander Konyukhov
Publisher : John Wiley & Sons
ISBN 13 : 111877065X
Total Pages : 303 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Introduction to Computational Contact Mechanics by : Alexander Konyukhov

Download or read book Introduction to Computational Contact Mechanics written by Alexander Konyukhov and published by John Wiley & Sons. This book was released on 2015-06-15 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step-by-step manner, using examples of strict derivation from a mathematical point of view. The final goal of the theory is to construct in the independent approximation form /so-called covariant form, including application to high-order and isogeometric finite elements. The second part of a book is a practical guide for programming of contact elements and is written in such a way that makes it easy for a programmer to implement using any programming language. All programming examples are accompanied by a set of verification examples allowing the user to learn the research verification technique, essential for the computational contact analysis. Key features: Covers the fundamentals of computational contact mechanics Covers practical programming, verification and analysis of contact problems Presents the geometrically exact theory for computational contact mechanics Describes algorithms used in well-known finite element software packages Describes modeling of forces as an inverse contact algorithm Includes practical exercises Contains unique verification examples such as the generalized Euler formula for a rope on a surface, and the impact problem and verification of thå percussion center Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A Geometrical Approach is an ideal textbook for graduates and senior undergraduates, and is also a useful reference for researchers and practitioners working in computational mechanics.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

An Introduction to Theoretical and Computational Aerodynamics

Author : Jack Moran
Publisher : Courier Corporation
ISBN 13 : 0486317536
Total Pages : 480 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis An Introduction to Theoretical and Computational Aerodynamics by : Jack Moran

Download or read book An Introduction to Theoretical and Computational Aerodynamics written by Jack Moran and published by Courier Corporation. This book was released on 2013-04-22 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise text discusses properties of wings and airfoils in incompressible and primarily inviscid flow, viscid flows, panel methods, finite difference methods, and computation of transonic flows past thin airfoils. 1984 edition.

Fluid Dynamics

Author : Constantine Pozrikidis
Publisher : Springer Science & Business Media
ISBN 13 : 1475733232
Total Pages : 686 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fluid Dynamics by : Constantine Pozrikidis

Download or read book Fluid Dynamics written by Constantine Pozrikidis and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ready access to computers at an institutional and personal level has defined a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering disciplines into the realm of scientific computing has become not only desirable, but also necessary. Thanks to port ability and low overhead and operating costs, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experiment at ion. The new environment has motivated the writing of texts and mono graphs with a modern perspective that incorporates numerical and com puter programming aspects as an integral part of the curriculum: meth ods, concepts, and ideas should be presented in a unified fashion that motivates and underlines the urgency of the new elements, but does not compromise the rigor of the classical approach and does not oversimplify. Interfacing fundamental concepts and practical methods of scientific computing can be done on different levels. In one approach, theory and implement at ion are kept complementary and presented in a sequential fashion. In a second approach, the coupling involves deriving compu tational methods and simulation algorithms, and translating equations into computer code instructions immediately following problem formu lations. The author of this book is a proponent of the second approach and advocates its adoption as a means of enhancing learning: interject ing methods of scientific computing into the traditional discourse offers a powerful venue for developing analytical skills and obtaining physical insight.

Advances in Theory and Practice of Computational Mechanics

Author : Lakhmi C. Jain
Publisher : Springer Nature
ISBN 13 : 9811526001
Total Pages : 386 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Advances in Theory and Practice of Computational Mechanics by : Lakhmi C. Jain

Download or read book Advances in Theory and Practice of Computational Mechanics written by Lakhmi C. Jain and published by Springer Nature. This book was released on 2020-03-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses physical and mathematical models, numerical methods, computational algorithms and software complexes, which allow high-precision mathematical modeling in fluid, gas, and plasma mechanics; general mechanics; deformable solid mechanics; and strength, destruction and safety of structures. These proceedings focus on smart technologies and software systems that provide effective solutions to real-world problems in applied mechanics at various multi-scale levels. Highlighting the training of specialists for the aviation and space industry, it is a valuable resource for experts in the field of applied mathematics and mechanics, mathematical modeling and information technologies, as well as developers of smart applied software systems.

Introduction To The Theory Of Neural Computation

Author : John A. Hertz
Publisher : CRC Press
ISBN 13 : 0429968213
Total Pages : 352 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Introduction To The Theory Of Neural Computation by : John A. Hertz

Download or read book Introduction To The Theory Of Neural Computation written by John A. Hertz and published by CRC Press. This book was released on 2018-03-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to the neural network models currently under intensive study for computational applications. It also provides coverage of neural network applications in a variety of problems of both theoretical and practical interest.

Quantum Mechanics

Author : Leonard Susskind
Publisher : Basic Books (AZ)
ISBN 13 : 0465036678
Total Pages : 386 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Quantum Mechanics by : Leonard Susskind

Download or read book Quantum Mechanics written by Leonard Susskind and published by Basic Books (AZ). This book was released on 2014-02-25 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

Numerical Methods in Computational Mechanics

Author : Jamshid Ghaboussi
Publisher : CRC Press
ISBN 13 : 1498746780
Total Pages : 332 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Numerical Methods in Computational Mechanics by : Jamshid Ghaboussi

Download or read book Numerical Methods in Computational Mechanics written by Jamshid Ghaboussi and published by CRC Press. This book was released on 2016-11-25 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.