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Interval Finite Element Method With Matlab

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Interval Finite Element Method with MATLAB

Interval Finite Element Method with MATLAB Book
Author : Sukanta Nayak,Snehashish Chakraverty
Publisher : Academic Press
Release : 2018-02-05
ISBN : 0128129743
Language : En, Es, Fr & De

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Book Description :

Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data Describes the interval finite element method in detail Gives step-by-step instructions for how to use MATLAB code for IFEM Provides a range of examples of IFEM in use, with accompanying MATLAB codes

Advanced Numerical and Semi Analytical Methods for Differential Equations

Advanced Numerical and Semi Analytical Methods for Differential Equations Book
Author : Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao
Publisher : John Wiley & Sons
Release : 2019-03-20
ISBN : 1119423449
Language : En, Es, Fr & De

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Book Description :

Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along. Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganji's Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book: Discusses various methods for solving linear and nonlinear ODEs and PDEs Covers basic numerical techniques for solving differential equations along with various discretization methods Investigates nonlinear differential equations using semi-analytical methods Examines differential equations in an uncertain environment Includes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations Contains solved example problems, as well as some unsolved problems for self-validation of the topics covered Advanced Numerical and Semi Analytical Methods for Differential Equations is an excellent text for graduate as well as post graduate students and researchers studying various methods for solving differential equations, numerically and semi-analytically.

The Finite Element Method Using MATLAB

The Finite Element Method Using MATLAB Book
Author : Young W. Kwon,Hyochoong Bang
Publisher : CRC Press
Release : 1997
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The finite element method (FEM) has become one of the most important and useful tools for scientists and engineers. This new book features the use of MATLAB to present introductory and advanced finite element theories and formulations. MATLAB is especially convenient to write and understand finite element analysis programs because a MATLAB program manipulates matrices and vectors with ease. The book is suitable for introductory and advanced courses in the Finite Element Method, as well as a reference for practicing engineers.

Fundamentals of Optimization Techniques with Algorithms

Fundamentals of Optimization Techniques with Algorithms Book
Author : Sukanta Nayak
Publisher : Academic Press
Release : 2020-08-25
ISBN : 0128224924
Language : En, Es, Fr & De

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Book Description :

Optimization is a key concept in mathematics, computer science, and operations research, and is essential to the modeling of any system, playing an integral role in computer-aided design. Fundamentals of Optimization Techniques with Algorithms presents a complete package of various traditional and advanced optimization techniques along with a variety of example problems, algorithms and MATLAB© code optimization techniques, for linear and nonlinear single variable and multivariable models, as well as multi-objective and advanced optimization techniques. It presents both theoretical and numerical perspectives in a clear and approachable way. In order to help the reader apply optimization techniques in practice, the book details program codes and computer-aided designs in relation to real-world problems. Ten chapters cover, an introduction to optimization; linear programming; single variable nonlinear optimization; multivariable unconstrained nonlinear optimization; multivariable constrained nonlinear optimization; geometric programming; dynamic programming; integer programming; multi-objective optimization; and nature-inspired optimization. This book provides accessible coverage of optimization techniques, and helps the reader to apply them in practice. Presents optimization techniques clearly, including worked-out examples, from traditional to advanced Maps out the relations between optimization and other mathematical topics and disciplines Provides systematic coverage of algorithms to facilitate computer coding Gives MATLAB© codes in relation to optimization techniques and their use in computer-aided design Presents nature-inspired optimization techniques including genetic algorithms and artificial neural networks

Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Reviews book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB Book
Author : Alexander Stanoyevitch
Publisher : John Wiley & Sons
Release : 2011-10-14
ISBN : 1118031504
Language : En, Es, Fr & De

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Book Description :

Download Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB book written by Alexander Stanoyevitch, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Numerical Methods in Engineering with MATLAB

Numerical Methods in Engineering with MATLAB   Book
Author : Jaan Kiusalaas
Publisher : Cambridge University Press
Release : 2005-08
ISBN : 9780521852883
Language : En, Es, Fr & De

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Book Description :

Numerical Methods in Engineering with MATLAB®, a student text, and a reference for practicing engineers.

Proceedings of the 13th International Modal Analysis Conference

Proceedings of the 13th International Modal Analysis Conference Book
Author : Dominick J. DeMichele
Publisher : Unknown
Release : 1995
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Proceedings of the 13th International Modal Analysis Conference book written by Dominick J. DeMichele, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Cumulative Book Index

The Cumulative Book Index Book
Author : Anonim
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Cumulative Book Index book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

SIAM Journal on Scientific Computing

SIAM Journal on Scientific Computing Book
Author : Anonim
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download SIAM Journal on Scientific Computing book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mechanical Engineering Materials and Energy

Mechanical Engineering  Materials and Energy Book
Author : Grace Chang
Publisher : Trans Tech Publications Ltd
Release : 2011-12-22
ISBN : 3038137286
Language : En, Es, Fr & De

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Book Description :

These are selected papers from the 2011 International Conference on Mechanical Engineering, Materials and Energy, ICMEME2011, held in Dalian. The papers reveal the latest developments, in the field of Mechanical Engineering, Materials and Energy ... from fundamentals to new technologies and applications. In particular, they cover the topics of Mechatronics and Automation, Mechanical Manufacturing Systems, Signal Processing, Manufacturing Technology and Processing and Materials Science and Technology.

The Numerical Solution of Ordinary and Partial Differential Equations

The Numerical Solution of Ordinary and Partial Differential Equations Book
Author : Granville Sewell
Publisher : World Scientific
Release : 2014-12-16
ISBN : 9814635111
Language : En, Es, Fr & De

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Book Description :

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A. The book contains the relevant theory and error analysis for most of the methods studied, but also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs (FORTRAN or MATLAB) for solving ordinary and partial differential equations, using both finite differences and finite elements. In addition, they will be able to solve very difficult partial differential equations using the software PDE2D, presented in Appendix A. PDE2D solves very general steady-state, time-dependent and eigenvalue PDE systems, in 1D intervals, general 2D regions, and a wide range of simple 3D regions. Contents:Direct Solution of Linear SystemsInitial Value Ordinary Differential EquationsThe Initial Value Diffusion ProblemThe Initial Value Transport and Wave ProblemsBoundary Value ProblemsThe Finite Element MethodsAppendix A — Solving PDEs with PDE2DAppendix B — The Fourier Stability MethodAppendix C — MATLAB ProgramsAppendix D — Answers to Selected Exercises Readership: Undergraduate, graduate students and researchers. Key Features:The discussion of stability, absolute stability and stiffness in Chapter 1 is clearer than in other textsStudents will actually learn to write programs solving a range of simple PDEs using the finite element method in chapter 5In Appendix A, students will be able to solve quite difficult PDEs, using the author's software package, PDE2D. (a free version is available which solves small to moderate sized problems)Keywords:Differential Equations;Partial Differential Equations;Finite Element Method;Finite Difference Method;Computational Science;Numerical AnalysisReviews: "This book is very well written and it is relatively easy to read. The presentation is clear and straightforward but quite rigorous. This book is suitable for a course on the numerical solution of ODEs and PDEs problems, designed for senior level undergraduate or beginning level graduate students. The numerical techniques for solving problems presented in the book may also be useful for experienced researchers and practitioners both from universities or industry." Andrzej Icha Pomeranian Academy in Słupsk Poland

Partial Differential Equations

Partial Differential Equations Book
Author : Mark S. Gockenbach
Publisher : SIAM
Release : 2010
ISBN : 0898719488
Language : En, Es, Fr & De

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Book Description :

Partial differential equations (PDEs) are essential for modeling many physical phenomena. This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis.

Methods of Applied Mathematics with a MATLAB Overview

Methods of Applied Mathematics with a MATLAB Overview Book
Author : Jon H. Davis
Publisher : Birkhauser
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Methods of Applied Mathematics with a MATLAB Overview is devoted to the applications of Fourier analysis, topics encompass the classical applications in partial differential equations and boundary value problems as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are covered, along with the necessary background in complex variables and Sturm-Liouville theory. The final chapter provides an examination of wavelets, short-time Fourier analysis, and geometrically-based transforms. The use of the computer program MATLAB has been integrated throughout the text, with particular emphasis on the program's numerical and graphing capabilities. Requiring only familiarity with calculus and linear algebra and some introductory acquaintance with differential equations and vector calculus, this work can be used flexibly, either for a one-semester survey or an in-depth, year-long course. With its broad scope and careful pedagogy, this treatment will serve students in pure and applied mathematics, physical sciences, and engineering. Book jacket.

Smart Structures and Integrated Systems

Smart Structures and Integrated Systems Book
Author : Society of Photo-optical Instrumentation Engineers,Society for Experimental Mechanics (U.S.)
Publisher : Society of Photo Optical
Release : 2000
ISBN : 9780819436030
Language : En, Es, Fr & De

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Book Description :

Download Smart Structures and Integrated Systems book written by Society of Photo-optical Instrumentation Engineers,Society for Experimental Mechanics (U.S.), available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Government Reports Announcements Index

Government Reports Announcements   Index Book
Author : Anonim
Publisher : Unknown
Release : 1996
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Government Reports Announcements Index book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Rarefied Gas Dynamics

Rarefied Gas Dynamics Book
Author : M. Capitelli
Publisher : Amer Inst of Physics
Release : 2005-06-21
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The book contains papers presented at the 24th International Symposium on Rarefied Gas Dynamics, a conference that is recognized as the principal forum for the presentation of recent advances in the field of rarefied gas dynamics. The topics include fundamental aspects of Boltzmann and related equations, transport theory, Monte Carlo methods, kinetic theory, gas phase molecular collision dynamics, gas surface interaction, state to state kinetics, rarefied plasmas, and non-equilibrium plasma kinetics. Applications in the fields of internal flows, vacuum systems, rarefied jets, plumes, molecular beams, scamjets and hypersonics, microflows, granular gases, electrical thrusters are discussed. Researchers in the fields of mathematics, physics, chemistry and engineering can strongly benefit from the interdisciplinary nature of the book.

Applied Numerical Analysis Using MATLAB

Applied Numerical Analysis Using MATLAB Book
Author : Laurene V. Fausett
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Each chapter uses introductory problems from specific applications. These easy-to-understand problems clarify for the reader the need for a particular mathematical technique. Numerical techniques are explained with an emphasis on why they work. FEATURES Discussion of the contexts and reasons for selection of each problem and solution method. Worked-out examples are very realistic and not contrived. MATLAB code provides an easy test-bed for algorithmic ideas.

Mechatronic systems 2004

Mechatronic systems 2004 Book
Author : S. O. Reza Moheimani
Publisher : Unknown
Release : 2005
ISBN : 9780080449418
Language : En, Es, Fr & De

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Book Description :

Download Mechatronic systems 2004 book written by S. O. Reza Moheimani, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.