Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations (Q843725)
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| Language | Label | Description | Also known as |
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| English | Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations |
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Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations (English)
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15 January 2010
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The authors are interested to a nonlinear approximation type approach for the solution of high dimensional partial differential equations. This approach is shown on the Poisson equation. A variational version of this approach is analyzed and convergence is shown. Various theoretical and numerical difficulties are shown arising from the non-variational version of the algorithm.
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greedy algorithms
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high-dimensional partial differential equations
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singular value decomposition
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variational method
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nonlinear approximation
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Poisson equation
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convergence
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