Finite difference

Known as: Calculus of Differences, Newton series, Finite differences 
A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference… (More)
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1948-2017
050019482016

Papers overview

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Highly Cited
2009
Highly Cited
2009
In this paper we describe a GPU parallelization of the 3D finite difference computation using CUDA. Data access redundancy is… (More)
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Highly Cited
2009
Highly Cited
2009
High-order compact finite difference scheme for solving one-dimensional fractional diffusion equation is considered in this paper… (More)
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Highly Cited
2006
Highly Cited
2006
A class of finite difference methods for solving fractional diffusion equations is considered. These methods are an extension of… (More)
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Highly Cited
2003
Highly Cited
2003
Finite difference schemes providing an improved representation of a range of scales (spectral-like resolution) in the evaluation… (More)
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Highly Cited
2002
Highly Cited
2002
Simulation of very fast surge phenomena in a three-dimensional structure requires a method based on Maxwell's equations such as… (More)
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Highly Cited
2001
Highly Cited
2001
Recent interest in finite-difference modeling of the wave equation has raised questions regarding the degree of match between… (More)
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Highly Cited
2000
Highly Cited
2000
In this paper, an unconditionally stable three-dimensional (3-D) finite-difference time-method (FDTD) is presented where the time… (More)
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Highly Cited
1998
Highly Cited
1998
Conservation properties of the mass, momentum, and kinetic energy equations for incompressible flow are specified as analytical… (More)
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Highly Cited
1983
Highly Cited
1983
This article describes a time-domain finite-difference algorithm for solving Maxwell's equations in generalized nonorthogonal… (More)
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Highly Cited
1981
Highly Cited
1981
  • Gerrit Mur
  • IEEE Transactions on Electromagnetic…
  • 1981
When time-domain electromagnetic-field equations are solved using finite-difference techniques in unbounded space, there must be… (More)
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