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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Partial Differential Equations (G.1.8) > Finite Difference Methods (G.1.8...)  
 
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  1-10 of 20 Reviews about "Finite Difference Methods (G.1.8...)": Date Reviewed
  Spectral methods: algorithms, analysis and applications
Shen J., Tang T., Wang L.,  Springer Publishing Company, Incorporated, New York, NY, 2011. 486 pp. Type: Book (978-3-540710-40-0)

Differential equations arise in various branches of science and engineering, such as fluid and solid mechanics, biology, material sciences, economics, ecology, and computer science. Some well-known examples include the Navier-Stokes equations in...

Jan 10 2013
  Numerical sound synthesis: finite difference schemes and simulation in musical acoustics
Bilbao S.,  Wiley Publishing, Chichester, UK, 2009. 456 pp. Type: Book (978-0-470510-46-9)

In the past, most of the material on sound synthesis through physical modeling was only available through academic reports, conference papers, and journal publications. Although a similar title was published fairly recently [1], there was still...

Oct 28 2010
  Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems (Classics in Applied Mathematics)
LeVeque R.,  Society for Industrial and Applied Mathematics, Philadelphia, PA, 2007. 350 pp. Type: Book (9780898716290)

Not long ago I wrote an article [1] about how to teach numerical computation to a general audience: those individuals who would use numerical computation in their respective fields, but are not necessarily specialists in numerical analysis. In...

Aug 4 2008
  Numerical convergence study of nearly incompressible, inviscid Taylor-Green vortex flow
Shu C., Don W., Gottlieb D., Schilling O., Jameson L.  Journal of Scientific Computing 24(1): 569-595, 2005. Type: Article

The existence of nonlinear instability was first noted by Phillips in 1956 [1], in the context of general circulation of the atmosphere. Phillips [2] later discovered that the cause of the instability was aliasing. The spurious growth of short...

Mar 11 2008
  Numerical methods and nature
Turkel E.  Journal of Scientific Computing 28(2-3): 549-570, 2006. Type: Article

Traditionally, preconditioners of numerical methods are devised using the structure of the algebraic systems. They often require information on input matrices, such as singular values, without using knowledge of the physical problems of the...

Dec 12 2006
   Finite difference schemes and partial differential equations
Strikwerda J.,  Society for Industrial and Applied Mathematics, Philadelphia, PA, 2004. 435 pp. Type: Book (9780898715675)

The application of finite difference schemes in the numerical solution of time-dependent partial differential equations (PDEs) is the topic covered in this book, which is the second edition of a book that was first published in 1989. Some...

Dec 16 2005
  Time explicit schemes and spatial finite differences splittings
Chehab J., Costa B.  Journal of Scientific Computing 20(2): 159-189, 2004. Type: Article

This paper proposes a numerical treatment for physical systems where perturbations of solutions evolve on a much faster time scale than the solution itself, resulting in heavily, unevenly distributed eigenvalues that would cause difficulty (known ...

Dec 29 2004
  Multiresolution wavelet based adaptive numerical dissipation control for high order methods
Sjögreen B., Yee H.  Journal of Scientific Computing 20(2): 211-255, 2004. Type: Article

Sjögreen and Yee construct an adaptive numerical dissipation control that is an improvement over Yee et al.’s artificial compression method (ACM) sensor....

Sep 27 2004
  Application of the over-set grid technique to a model singular perturbation problem
Havik E., Hemker P., Hoffman W.  Computing 65(4): 339-356, 2000. Type: Article

This paper addresses the numerical solution of a singularly perturbed two-dimensional convective-diffusion problem and the use of over-set (or overlapping or chimera) grids to solve the problem. The focus of the paper is the development of a...

May 1 2001
  Avoiding slave points in an adaptive refinement procedure for convection-diffusion problems in 2D
Axelsson O., Nikolova M.  Computing 61(4): 331-357, 1998. Type: Article

A finite difference method for singularly perturbed convection-diffusion problems with near-second-order discretization error is presented. Such equations arise in a number of different areas. Local singularities can arise in the finite...

May 1 1999
 
 
 
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