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Spectral method
Known as:
Chebyshev spectral method
, Spectral methods
Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain differential equations…
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Related topics
Related topics
31 relations
Atmospheric model
Basis function
Chebyshev polynomials
Collocation method
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Broader (1)
Numerical analysis
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2019
Highly Cited
2019
Spectral Methods
Nathan Mendes
,
M. Chhay
,
J. Berger
,
D. Dutykh
Numerical Methods for Diffusion Phenomena in…
2019
Corpus ID: 119588340
Highly Cited
2014
Highly Cited
2014
Spectral Methods Meet EM: A Provably Optimal Algorithm for Crowdsourcing
Yuchen Zhang
,
Xi Chen
,
Dengyong Zhou
,
Michael I. Jordan
Journal of machine learning research
2014
Corpus ID: 2670430
The Dawid-Skene estimator has been widely used for inferring the true labels from the noisy labels provided by non-expert…
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Highly Cited
2009
Highly Cited
2009
A Space-Time Spectral Method for the Time Fractional Diffusion Equation
Xianjuan Li
,
Chuanju Xu
SIAM Journal on Numerical Analysis
2009
Corpus ID: 16799111
In this paper, we consider the numerical solution of the time fractional diffusion equation. Essentially, the time fractional…
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Highly Cited
2009
Highly Cited
2009
Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers
D. Kopriva
2009
Corpus ID: 115238688
This book offers a systematic and self-contained approach to solvepartial differential equations numerically using single and…
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Highly Cited
2005
Highly Cited
2005
The Spectral Method for General Mixture Models
R. Kannan
,
Hadi Salmasian
,
S. Vempala
SIAM journal on computing (Print)
2005
Corpus ID: 15715459
We present an algorithm for learning a mixture of distributions based on spectral projection. We prove a general property of…
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Highly Cited
2004
Highly Cited
2004
Simulations of Ground Motion in the Los Angeles Basin Based upon the Spectral-Element Method
D. Komatitsch
,
Qinya Liu
,
J. Tromp
,
P. Süss
,
C. Stidham
,
J. Shaw
2004
Corpus ID: 39289005
We use the spectral-element method to simulate ground motion generated by two recent and well-recorded small earthquakes in the…
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Highly Cited
2002
Highly Cited
2002
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation
Z. Wang
2002
Corpus ID: 12653693
A high-order, conservative, yet efficient method named the spectral volume (SV) method is developed for conservation laws on…
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Highly Cited
2000
Highly Cited
2000
Spectral compression of mesh geometry
Zachi Karni
,
C. Gotsman
European Workshop on Computational Geometry
2000
Corpus ID: 10311517
We show how spectral methods may be applied to 3D mesh data to obtain compact representations. This is achieved by projecting the…
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Highly Cited
1998
Highly Cited
1998
Infrared Spectral Interpretation: A Systematic Approach
Brian C. Smith
1998
Corpus ID: 94616799
THE BASICS OF INFRARED INTERPRETATION Advantages and Disadvantages of Infrared Spectroscopy The Properties of Light What Are…
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Highly Cited
1977
Highly Cited
1977
Numerical analysis of spectral methods
D. Gottlieb
,
S. Orszag
1977
Corpus ID: 118794921
Abstract : This monograph gives a mathematical analysis of spectral methods for mixed initial-boundary value problems. Spectral…
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