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Finite difference
Known as:
Calculus of Differences
, Newton series
, Finite differences
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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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Related topics
Related topics
50 relations
Active contour model
Additive Schwarz method
Aitken's delta-squared process
Alternating direction implicit method
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
3D finite difference computation on GPUs using CUDA
P. Micikevicius
GPGPU-2
2009
Corpus ID: 309669
In this paper we describe a GPU parallelization of the 3D finite difference computation using CUDA. Data access redundancy is…
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Highly Cited
2008
Highly Cited
2008
Vector Finite Difference Modesolver for Anisotropic Dielectric Waveguides
A. Fallahkhair
,
K. Li
,
T. Murphy
Journal of Lightwave Technology
2008
Corpus ID: 16808910
We describe a new full-vector finite difference discretization, based upon the transverse magnetic field components, for…
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Review
1996
Review
1996
Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences
R. Graves
1996
Corpus ID: 61123939
This article provides an overview of the application of the staggered-grid finite-difference technique to model wave propagation…
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Highly Cited
1993
Highly Cited
1993
The Finite Difference Time Domain Method for Electromagnetics
K. Kunz
,
R. Luebbers
1993
Corpus ID: 116896336
Fundamental Concepts Scattered Field FDTD Formulation FDTD Basics Basic Applications Coupling Effects Waveguide Aperture Coupling…
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Highly Cited
1993
Highly Cited
1993
Nonstandard Finite Difference Models of Differential Equations
R. Mickens
1993
Corpus ID: 118483282
Numerical instabilities non-standard finite difference schemes first order ordinary differential equations second order…
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Highly Cited
1993
Highly Cited
1993
Fractional Integrals and Derivatives: Theory and Applications
S. Samko
,
A. Kilbas
,
O. Marichev
1993
Corpus ID: 118631078
Fractional integrals and derivatives on an interval fractional integrals and derivatives on the real axis and half-axis further…
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Highly Cited
1991
Highly Cited
1991
Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools
P. Podvin
,
I. Lecomte
1991
Corpus ID: 55939864
SUMMARY We present a new massively parallel method for computation of first arrival times in arbitrary velocity models. An…
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Highly Cited
1990
Highly Cited
1990
Finite‐difference calculation of traveltimes in three dimensions
J. Vidale
1990
Corpus ID: 3567805
The traveltimes of first arriving seismic rays through most velocity structures can be computed rapidly on a three-dimensional…
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Review
1981
Review
1981
Group velocity in finite difference schemes
L. Trefethen
1981
Corpus ID: 10373234
The relevance of group velocity to the behavior of finite difference models of time-dependent partial differential equations is…
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Review
1934
Review
1934
The Calculus of Finite Differences
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…
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