Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics

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  • Author: Kam Tim Chau
  • Publisher: CRC Press
  • ISBN: 0429894341
  • Category : Science
  • Languages : en
  • Pages : 902

This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.


APPLICATIONS OF DIFFERENTIAL EQUATIONS IN ENGINEERING AND MECHANICS.

APPLICATIONS OF DIFFERENTIAL EQUATIONS IN ENGINEERING AND MECHANICS.

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  • Author: K.T. CHAU
  • Publisher:
  • ISBN: 9781138746473
  • Category :
  • Languages : en
  • Pages :


Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics

PDF Applications of Differential Equations in Engineering and Mechanics Download

  • Author: Kam Tim Chau
  • Publisher: CRC Press
  • ISBN: 042989435X
  • Category : Science
  • Languages : en
  • Pages : 805

This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.


Partial Differential Equations in Mechanics 2

Partial Differential Equations in Mechanics 2

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  • Author: A.P.S. Selvadurai
  • Publisher: Springer Science & Business Media
  • ISBN: 3662092050
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 713

This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.


Ordinary Differential Equations with Applications to Mechanics

Ordinary Differential Equations with Applications to Mechanics

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  • Author: Mircea Soare
  • Publisher: Springer
  • ISBN: 9789048111107
  • Category : Mathematics
  • Languages : en
  • Pages : 488

This interdisciplinary work creates a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool. The present book is a new, English edition of the volume published in 1999. It contains many improvements, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach.


Partial Differential Equations in Mechanics 1

Partial Differential Equations in Mechanics 1

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  • Author: A.P.S. Selvadurai
  • Publisher: Springer Science & Business Media
  • ISBN: 3662040069
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 610

This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.


Differential Equations: Theory and Applications

Differential Equations: Theory and Applications

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  • Author: David Betounes
  • Publisher: Springer Science & Business Media
  • ISBN: 1475749716
  • Category : Mathematics
  • Languages : en
  • Pages : 686

This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.


Finite Elements

Finite Elements

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  • Author: Dietrich Braess
  • Publisher: Cambridge University Press
  • ISBN: 113946146X
  • Category : Mathematics
  • Languages : en
  • Pages : 348

This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.


Numerical Analysis with Applications in Mechanics and Engineering

Numerical Analysis with Applications in Mechanics and Engineering

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  • Author: Petre Teodorescu
  • Publisher: John Wiley & Sons
  • ISBN: 1118614623
  • Category : Computers
  • Languages : en
  • Pages : 458

A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.


Stochastic Differential Equations

Stochastic Differential Equations

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  • Author: Kazimierz Sobczyk
  • Publisher:
  • ISBN:
  • Category : Stochastic differential equations
  • Languages : en
  • Pages : 400