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

Download Book Spectral Methods Evolution To Complex Geometries And Applications To Fluid Dynamics Scientific Computation in PDF format. You can Read Online Spectral Methods Evolution To Complex Geometries And Applications To Fluid Dynamics Scientific Computation here in PDF, EPUB, Mobi or Docx formats.

Spectral Methods

Author : Claudio Canuto
ISBN : 9783540307280
Genre : Mathematics
File Size : 67. 68 MB
Format : PDF, Kindle
Download : 606
Read : 511

Download Now


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 : 50. 53 MB
Format : PDF, Docs
Download : 924
Read : 1118

Download Now


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.

Scientific Computing With Matlab And Octave

Author : Alfio Quarteroni
ISBN : 9783642453670
Genre : Computers
File Size : 79. 79 MB
Format : PDF, Kindle
Download : 895
Read : 808

Download Now


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.

Numerical Mathematics And Advanced Applications Enumath 2017

Author : Florin Adrian Radu
ISBN : 9783319964157
Genre :
File Size : 84. 36 MB
Format : PDF, Kindle
Download : 672
Read : 1035

Download Now



Implementing Spectral Methods For Partial Differential Equations

Author : David A. Kopriva
ISBN : 9789048122615
Genre : Mathematics
File Size : 52. 8 MB
Format : PDF, Kindle
Download : 816
Read : 1220

Download Now


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:30000010393407
Genre : Science
File Size : 50. 6 MB
Format : PDF, ePub, Docs
Download : 421
Read : 1306

Download Now



Scientific And Technical Aerospace Reports

Author :
ISBN : STANFORD:36105127343148
Genre : Aeronautics
File Size : 46. 73 MB
Format : PDF
Download : 500
Read : 905

Download Now



Siam Journal On Scientific Computing

Author :
ISBN : UOM:39015057379367
Genre : Science
File Size : 79. 2 MB
Format : PDF, Kindle
Download : 103
Read : 232

Download Now



Spectra And Pseudospectra

Author : Lloyd Nicholas Trefethen
ISBN : 0691119465
Genre : Mathematics
File Size : 35. 30 MB
Format : PDF, ePub
Download : 499
Read : 1156

Download Now


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.

Star

Author :
ISBN : UIUC:30112075701687
Genre : Aeronautics
File Size : 52. 38 MB
Format : PDF, ePub, Mobi
Download : 600
Read : 326

Download Now



Top Download:

Best Books