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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 13 Reviews about "Finite Difference Methods (G.1.8...)": Date Reviewed
  Finite difference/finite element methods for distributed-order time fractional diffusion equations
Bu W., Xiao A., Zeng W. Journal of Scientific Computing 72(1): 422-441, 2017.  Type: Article

Bu et al. discretize the fractional diffusion equation in time using a modified compound trapezoid formula, and the Caputo fractional derivative in space is done using the L1 method, thus obtaining an unconditionally stable semi-discre...

Aug 9 2017
   Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
Wang H., Du N. Journal of Computational Physics 258305-318, 2014.  Type: Article

Differential equations of fractional order have in recent years proven to be very useful tools for the mathematical modeling of many phenomena in science and engineering. Certain types of behavior that can be observed in reality can on...

Sep 12 2014
  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 o...

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. S...

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 diffic...

Dec 29 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 developmen...

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 perturbedconvection-diffusion problems withnear-second-order discretization error is presented. Such equationsarise in a number of different areas. Local singularities can arise inthe finite di...

May 1 1999
  Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method
Axelsson O., Nikolova M. Computing 58(1): 1-30, 1997.  Type: Article

The authors consider singularly perturbed convection-diffusion problems of the form - &egr;δu + v∇u + cu = f, x ∈ &OHgr; ⊂ Rd, subject to bou...

Aug 1 1998
  The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation
Abia L., Sanz-Serna J. Computing 44(3): 187-196, 1990.  Type: Article

A time-discrete pseudospectral algorithm is given for the numerical solution of the nonlinear, periodic initial value problem where &bgr;, &ggr;, &egr;, and &dgr...

Jul 1 1991
  Difference methods for initial-boundary-value problems and flow around bodies
Zhu Y., Zhong X., Chen B., Zhang Z., Springer-Verlag New York, Inc., New York, NY, 1988.  Type: Book (9789780387108872)

The authors describe their book as a monograph, but such a description does not do justice to the full scope of the material presented. This substantial volume is divided into two parts....

Apr 1 1990
 
 
 
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