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Sparse grid

Sparse grids are numerical techniques to represent, integrate or interpolate high dimensional functions. They were originally developed by the Russian mathematician Sergey A. Smolyak, a student of Lazar Lyusternik, and are based on a sparse tensor product construction. Computer algorithms for efficient implementations of such grids were later developed…

Products, Smolyak's quadrature rule & Curse of dimensionality

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Smolyak's quadrature rule

UnivariateTensor productDiscretization
3 related topics

Curse of dimensionality

Depend exponentiallyCurse of dimensionality
2 related topics

Overview

DimensionalRussianMathematicianSergey A. SmolyakLazar Lyusternik
8 related topics

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Curse of dimensionality

Smolyak's quadrature rule

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Sparse grid

Nodes17
Edges16
Triples36
Avg. degree1.88
Density0.117647
Components1

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Sparse grid

Top relations

related to Further reading · 34
Sparse grid → Applications, Brumm, Bungartz, Christoph, Complexity, Econometrica, ECTA12216, Garcke, Griebel, In Garcke, In Hackbusch, ISBN, Jochen, Journal, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Michael, Nutshell, Parallel Algorithms
related to External links · 2
Sparse grid → Garcke, Griebel

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Important terminology

grids sparse displaystyle functions pdf smolyak tensor efficient griebel developed quadrature points level function garcke based product algorithms michael christoph

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sparse gridrelated to External linksGarcke0.60section
Sparse gridrelated to External linksGriebel0.60section
Sparse gridrelated to Further readingLock-green0.60section
Sparse gridrelated to Further readingLock-gray-alt-20.60section
Sparse gridrelated to Further readingLock-red-alt-20.60section
Sparse gridrelated to Further readingWikisource-logo0.60section
Sparse gridrelated to Further readingPflüger0.60section
Sparse gridrelated to Further readingPeherstorfer0.60section
Sparse gridrelated to Further readingBungartz0.60section
Sparse gridrelated to Further readingSpatially0.60section
Sparse gridrelated to Further readingJournal0.60section
Sparse gridrelated to Further readingComplexity0.60section

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