Pseudo-spectral methods, also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations. They are closely related to spectral methods, but complement the basis by an additional pseudo-spectral basis, which allows representation of functions on a quadrature grid. This simplifies the evaluation of certain operators, and can considerably speed up the calculation when using fast algorithms such as the fast Fourier transform.
| Attributes | Values |
|---|
| rdf:type
| |
| rdfs:label
| - Pseudo-spectral method (en)
- Método pseudoespectral (pt)
- 擬譜法 (zh)
|
| rdfs:comment
| - Pseudo-spectral methods, also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations. They are closely related to spectral methods, but complement the basis by an additional pseudo-spectral basis, which allows representation of functions on a quadrature grid. This simplifies the evaluation of certain operators, and can considerably speed up the calculation when using fast algorithms such as the fast Fourier transform. (en)
- Método pseudo-espectral, também conhecido como método de representação por variável discreta (DVR, discrete variable representation), são uma classe de métodos numéricos usados em matemática aplicada e computação científica para a solução de equações diferenciais parciais. Eles estão intimamente relacionados com os , mas complementam a base (de um espaço vectorial) por uma base pseudo-espectral adicional, a qual permite representar funções sobre uma grade de quadratura. Isso simplifica a avaliação de determinados operadores, e pode acelerar consideravelmente o cálculo quando se usa algoritmos rápidos, como a transformada rápida de Fourier. (pt)
- 擬譜法（Pseudo-spectral methods）也稱為離散變數表示（discrete variable representation、DVR）法，是在应用数学及计算科学中求解偏微分方程用的数值分析方法。擬譜法和有密切關係，但在谱方法中基底函數中使用了擬譜的基底函數，也就是可以在分割網格上表示的函數。此作法簡化一些運算子的計算，在使用快速演算法（例如快速傅里叶变换）時可以加速計算速度。 (zh)
|
| dcterms:subject
| |
| Wikipage page ID
| |
| Wikipage revision ID
| |
| Link from a Wikipage to another Wikipage
| |
| Link from a Wikipage to an external page
| |
| sameAs
| |
| dbp:wikiPageUsesTemplate
| |
| has abstract
| - Pseudo-spectral methods, also known as discrete variable representation (DVR) methods, are a class of numerical methods used in applied mathematics and scientific computing for the solution of partial differential equations. They are closely related to spectral methods, but complement the basis by an additional pseudo-spectral basis, which allows representation of functions on a quadrature grid. This simplifies the evaluation of certain operators, and can considerably speed up the calculation when using fast algorithms such as the fast Fourier transform. (en)
- Método pseudo-espectral, também conhecido como método de representação por variável discreta (DVR, discrete variable representation), são uma classe de métodos numéricos usados em matemática aplicada e computação científica para a solução de equações diferenciais parciais. Eles estão intimamente relacionados com os , mas complementam a base (de um espaço vectorial) por uma base pseudo-espectral adicional, a qual permite representar funções sobre uma grade de quadratura. Isso simplifica a avaliação de determinados operadores, e pode acelerar consideravelmente o cálculo quando se usa algoritmos rápidos, como a transformada rápida de Fourier. (pt)
- 擬譜法（Pseudo-spectral methods）也稱為離散變數表示（discrete variable representation、DVR）法，是在应用数学及计算科学中求解偏微分方程用的数值分析方法。擬譜法和有密切關係，但在谱方法中基底函數中使用了擬譜的基底函數，也就是可以在分割網格上表示的函數。此作法簡化一些運算子的計算，在使用快速演算法（例如快速傅里叶变换）時可以加速計算速度。 (zh)
|
| gold:hypernym
| |
| prov:wasDerivedFrom
| |
| page length (characters) of wiki page
| |
| foaf:isPrimaryTopicOf
| |
| is Link from a Wikipage to another Wikipage
of | |
| is Wikipage redirect
of | |
| is foaf:primaryTopic
of | |
![[RDF Data]](/fct/images/sw-rdf-blue.png)
![[cxml]](/fct/images/cxml_doc.png)
![[csv]](/fct/images/csv_doc.png)
![[text]](/fct/images/ntriples_doc.png)
![[turtle]](/fct/images/n3turtle_doc.png)
![[ld+json]](/fct/images/jsonld_doc.png)
![[rdf+json]](/fct/images/json_doc.png)
![[rdf+xml]](/fct/images/xml_doc.png)
![[atom+xml]](/fct/images/atom_doc.png)
![[html]](/fct/images/html_doc.png)