A Practical Guide To Pseudospectral Methods

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A Practical Guide To Pseudospectral Methods

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Author : Bengt Fornberg
language : en
Publisher: Cambridge University Press
Release Date : 1998-10-28

A Practical Guide To Pseudospectral Methods written by Bengt Fornberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-28 with Mathematics categories.

This book explains how, when and why the pseudospectral approach works.

A Practical Guide Of Pseudospectral Methods

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Author : Bengt Fornberg
language : en
Publisher:
Release Date : 1998

A Practical Guide Of Pseudospectral Methods written by Bengt Fornberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

An Introductory Guide To Computational Methods For The Solution Of Physics Problems

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Author : George Rawitscher
language : en
Publisher: Springer
Release Date : 2018-10-24

An Introductory Guide To Computational Methods For The Solution Of Physics Problems written by George Rawitscher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Science categories.

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations. The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.

Chebyshev And Fourier Spectral Methods

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Author : John P. Boyd
language : en
Publisher: Courier Corporation
Release Date : 2001-12-03

Chebyshev And Fourier Spectral Methods written by John P. Boyd and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-03 with Mathematics categories.

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Spectral Methods In Matlab

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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2000-01-01

Spectral Methods In Matlab written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Mathematics categories.

This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web.

Spectra And Pseudospectra

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Author : Lloyd N. Trefethen
language : en
Publisher: Princeton University Press
Release Date : 2020-05-05

Spectra And Pseudospectra written by Lloyd N. Trefethen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-05 with Mathematics categories.

Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

Chemical Reactor Modeling

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Author : Hugo A. Jakobsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-02

Chemical Reactor Modeling written by Hugo A. Jakobsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-02 with Technology & Engineering categories.

Chemical Reactor Modeling closes the gap between Chemical Reaction Engineering and Fluid Mechanics. The second edition consists of two volumes: Volume 1: Fundamentals. Volume 2: Chemical Engineering Applications In volume 1 most of the fundamental theory is presented. A few numerical model simulation application examples are given to elucidate the link between theory and applications. In volume 2 the chemical reactor equipment to be modeled are described. Several engineering models are introduced and discussed. A survey of the frequently used numerical methods, algorithms and schemes is provided. A few practical engineering applications of the modeling tools are presented and discussed. The working principles of several experimental techniques employed in order to get data for model validation are outlined. The monograph is based on lectures regularly taught in the fourth and fifth years graduate courses in transport phenomena and chemical reactor modeling and in a post graduate course in modern reactor modeling at the Norwegian University of Science and Technology, Department of Chemical Engineering, Trondheim, Norway. The objective of the book is to present the fundamentals of the single-fluid and multi-fluid models for the analysis of single and multiphase reactive flows in chemical reactors with a chemical reactor engineering rather than mathematical bias. Organized into 13 chapters, it combines theoretical aspects and practical applications and covers some of the recent research in several areas of chemical reactor engineering. This book contains a survey of the modern literature in the field of chemical reactor modeling.

Numerical Methods For Atmospheric And Oceanic Sciences

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Author : A. Chandrasekar
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-10

Numerical Methods For Atmospheric And Oceanic Sciences written by A. Chandrasekar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-10 with Science categories.

A guide for atmospheric and oceanic sciences courses primarily and also for students of applied mathematics, mechanical & aerospace engineering.

Space Engineering

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Author : Giorgio Fasano
language : en
Publisher: Springer
Release Date : 2016-12-31

Space Engineering written by Giorgio Fasano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-31 with Mathematics categories.

This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools. Space engineering challenges are discussed in the following contexts: •Advanced Space Vehicle Design •Computation of Optimal Low Thrust Transfers •Indirect Optimization of Spacecraft Trajectories •Resource-Constrained Scheduling, •Packing Problems in Space •Design of Complex Interplanetary Trajectories •Satellite Constellation Image Acquisition •Re-entry Test Vehicle Configuration Selection •Collision Risk Assessment on Perturbed Orbits •Optimal Robust Design of Hybrid Rocket Engines •Nonlinear Regression Analysis in Space Engineering •Regression-Based Sensitivity Analysis and Robust Design •Low-Thrust Multi-Revolution Orbit Transfers •Modeling and Optimization of Balance Layout Problems •Pilot-Induced Oscillations Alleviation •Modeling and Optimization of Hybrid Transfers to Near-Earth Objects •Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite •Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity Operations The contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.

Fundamentals Of Numerical Computation

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Author : Tobin A. Driscoll
language : en
Publisher: SIAM
Release Date : 2017-12-21

Fundamentals Of Numerical Computation written by Tobin A. Driscoll and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-21 with Science categories.

Fundamentals of Numerical Computation?is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.?