spectral methods evolution to complex geometries and applications to fluid dynamics scientific computation

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Spectral Methods

Author : Claudio Canuto
ISBN : 9783540307280
Genre : Mathematics
File Size : 74. 24 MB
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Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting. This book is a companion to Spectral Methods: Fundamentals in Single Domains.

Spectral Methods

Author : Jie Shen
ISBN : 9783540710417
Genre : Mathematics
File Size : 41. 16 MB
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Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Numerical Mathematics And Advanced Applications Enumath 2017

Author : Florin Adrian Radu
ISBN : 9783319964157
Genre :
File Size : 25. 6 MB
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Scientific Computing With Matlab And Octave

Author : Alfio Quarteroni
ISBN : 9783642453670
Genre : Computers
File Size : 55. 36 MB
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This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.

Implementing Spectral Methods For Partial Differential Equations

Author : David A. Kopriva
ISBN : 9789048122615
Genre : Mathematics
File Size : 74. 1 MB
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This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.

Government Reports Announcements Index

Author :
ISBN : MINN:31951P003187327
Genre : Science
File Size : 37. 8 MB
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Scientific And Technical Aerospace Reports

Author :
ISBN : STANFORD:36105127343148
Genre : Aeronautics
File Size : 63. 72 MB
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Aiaa 27th Aerospace Sciences Meeting

Author :
ISBN : PSU:000016363557
Genre : Aeronautics
File Size : 45. 72 MB
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Siam Journal On Scientific Computing

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ISBN : UCSD:31822022865430
Genre : Science
File Size : 32. 25 MB
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Linear Theory Of Colombeau Generalized Functions

Author : M Nedeljkov
ISBN : 0582356830
Genre : Mathematics
File Size : 44. 4 MB
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Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.

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