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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… 
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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… 
Highly Cited
2008
Highly Cited
2008
We describe a new full-vector finite difference discretization, based upon the transverse magnetic field components, for… 
Review
1996
Review
1996
This article provides an overview of the application of the staggered-grid finite-difference technique to model wave propagation… 
Highly Cited
1993
Highly Cited
1993
Fundamental Concepts Scattered Field FDTD Formulation FDTD Basics Basic Applications Coupling Effects Waveguide Aperture Coupling… 
Highly Cited
1993
Highly Cited
1993
Numerical instabilities non-standard finite difference schemes first order ordinary differential equations second order… 
Highly Cited
1993
Highly Cited
1993
Fractional integrals and derivatives on an interval fractional integrals and derivatives on the real axis and half-axis further… 
Highly Cited
1991
Highly Cited
1991
SUMMARY We present a new massively parallel method for computation of first arrival times in arbitrary velocity models. An… 
Highly Cited
1990
Highly Cited
1990
The traveltimes of first arriving seismic rays through most velocity structures can be computed rapidly on a three-dimensional… 
Review
1981
Review
1981
The relevance of group velocity to the behavior of finite difference models of time-dependent partial differential equations is… 
Review
1934
Review
1934
  • E. N.
  • Nature
  • 1934
  • Corpus ID: 4125376
THE last edition of Boole's “Finite Differences” appeared in 1880, and was in fact a reprint of the edition of 1872. The interval…