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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… Expand
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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… Expand
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Highly Cited
2008
Highly Cited
2008
We describe a new full-vector finite difference discretization, based upon the transverse magnetic field components, for… Expand
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Highly Cited
2008
Highly Cited
2008
  • D. Murio
  • Comput. Math. Appl.
  • 2008
  • Corpus ID: 5346946
Time fractional diffusion equations are used when attempting to describe transport processes with long memory where the rate of… Expand
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Highly Cited
2002
Highly Cited
2002
Computational power has advanced to a state where we can begin to perform wavefield simulations for realistic (complex) 3-D earth… Expand
Highly Cited
1993
Highly Cited
1993
Fundamental Concepts Scattered Field FDTD Formulation FDTD Basics Basic Applications Coupling Effects Waveguide Aperture Coupling… Expand
Highly Cited
1993
Highly Cited
1993
Numerical instabilities non-standard finite difference schemes first order ordinary differential equations second order… Expand
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… Expand
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… Expand
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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… Expand
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Highly Cited
1975
Highly Cited
1975
High Reynolds number turbulent flows of incompressible fluids in plane channels and annuli are simulated using a finite… Expand
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