Analytical and Approximate Methods in Transport Phenomena

Analytical and Approximate Methods in Transport Phenomena PDF Author: Marcio L. de Souza-Santos
Publisher: CRC Press
ISBN: 1420016539
Category : Mathematics
Languages : en
Pages : 592

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Book Description
On the job or in the field, when facing a problem with differential equations and boundary conditions, most likely you don't have time to read through several publications in search of a method that may or may not solve your problem. Organized for quick and easy access to practical solutions, Analytical and Approximate Methods in Transport Pheno

Analytical and Approximate Methods in Transport Phenomena

Analytical and Approximate Methods in Transport Phenomena PDF Author: Marcio L. de Souza-Santos
Publisher: CRC Press
ISBN: 1420016539
Category : Mathematics
Languages : en
Pages : 592

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Book Description
On the job or in the field, when facing a problem with differential equations and boundary conditions, most likely you don't have time to read through several publications in search of a method that may or may not solve your problem. Organized for quick and easy access to practical solutions, Analytical and Approximate Methods in Transport Pheno

Approximate Analytical Methods for Solving Ordinary Differential Equations

Approximate Analytical Methods for Solving Ordinary Differential Equations PDF Author: T.S.L Radhika
Publisher: CRC Press
ISBN: 1466588160
Category : Mathematics
Languages : en
Pages : 200

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Book Description
Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solut

Approximate Methods of Higher Analysis

Approximate Methods of Higher Analysis PDF Author: Leonid Vitalʹevich Kantorovich
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 708

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Book Description


Analysis of Approximation Methods for Differential and Integral Equations

Analysis of Approximation Methods for Differential and Integral Equations PDF Author: Hans-Jürgen Reinhardt
Publisher: Springer Science & Business Media
ISBN: 1461210801
Category : Mathematics
Languages : en
Pages : 412

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Book Description
This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite difference methods and of projection methods for approximating their variational formulations.

 PDF Author:
Publisher:
ISBN: 0486821609
Category :
Languages : en
Pages :

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Book Description


Approximation Methods in Science and Engineering

Approximation Methods in Science and Engineering PDF Author: Reza N. Jazar
Publisher:
ISBN: 9781071604793
Category : Approximation theory
Languages : en
Pages :

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Book Description
Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions. Covers practical model-prototype analysis and nondimensionalization of differential equations; Coverage includes approximate methods of responses of nonlinear differential equations; Discusses how to apply approximation methods to analysis, design, optimization, and control problems; Discusses how to implement approximation methods to new aspects of engineering and physics including nonlinear vibration and vehicle dynamics

Applied Functional Analysis. Approximation Methods and Computers

Applied Functional Analysis. Approximation Methods and Computers PDF Author: S.S. Kutateladze
Publisher: CRC Press
ISBN: 9781420050127
Category : Mathematics
Languages : en
Pages : 408

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Book Description
This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.

Applied Functional Analysis. Approximation Methods and Computers

Applied Functional Analysis. Approximation Methods and Computers PDF Author: S.S. Kutateladze
Publisher: CRC Press
ISBN: 1420050125
Category : Mathematics
Languages : en
Pages : 400

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Book Description
This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.

Approximate Methods in Structural Seismic Design

Approximate Methods in Structural Seismic Design PDF Author: A. Scarlat
Publisher: CRC Press
ISBN: 9780419187509
Category : Architecture
Languages : en
Pages : 296

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Book Description
This book examines the recent developments in computerized structural analysis and finite element analysis to re-appraise existing approximate techniques and to define their scope and limits more accurately. The book proposes new techniques and provides many numerical examples and comparisons with 'accurate' methods.

Practical Approximate Analysis of Beams and Frames

Practical Approximate Analysis of Beams and Frames PDF Author: Nabil Fares
Publisher: Amer Society of Civil Engineers
ISBN: 9780784412220
Category : Technology & Engineering
Languages : en
Pages : 378

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Book Description
Sponsored by the Engineering Mechanics Institute of ASCE Practical Approximate Analysis of Beams and Frames presents a new method for structural engineers to approximately analyze the mechanics of beams and frames. The approach, which complements the results produced by computer software, can be used to sketch deflected shapes and to estimate moment diagrams, deflections, influence lines, and moments of inertia, as well as to establish a framework for nondestructive evaluation of framed structures. This method is relatively short and simple, robust with good accuracy, memorable, and applicable to practical problems. With this approximate analysis method, engineers sketch the deformations of beams and frames, with an emphasis on qualitative precision. The resulting sketches reveal the behavior of structures in a visually rich and informative way. One advantage of this method is that it localizes all dimensional quantities in a few factors, so that only relative stiffness parameters need to be estimated. Each chapter contains examples of this method applied to produce summaries and ranges of behavior in a wide variety of realistic situations. For practicing structural engineers, the methods in this book are an illuminating and time-saving addition to traditional computer calculations. For engineering students, these methods emphasize the conceptual aspects of mechanical analysis, supplementing their training in structural analysis software programs.