Titlebook: Extraction of Quantifiable Information from Complex Systems; Stephan Dahlke,Wolfgang Dahmen,Harry Yserentant Book 2014 Springer Internatio

肥料

Tensor Spaces and Hierarchical Tensor Representations,c concept of subspace approximation and higher order SVD (HOSVD), and how to extend this in a hierarchical way. We highlight that the present tensor representations are constituting smooth manifolds, and give a perspective how these properties can be used to develop numerical solvers for tensor equations and tensor optimisation problems.

油膏

Computational Methods for the Fourier Analysis of Sparse High-Dimensional Functions,s regarding the Fourier analysis of high-dimensional functions: We present stable and effective algorithms for the fast evaluation and reconstruction of multivariate trigonometric polynomials with frequencies supported on an index set ..

弯弯曲曲

https://doi.org/10.1007/978-3-319-08159-5complex systems; computational stochastics; high-dimensional problems; numerical analysis; partial diffe

groggy

https://doi.org/10.1007/978-3-319-43760-6mal stopping problems and time discretization schemes for backward stochastic differential equations with convex generators. We first provide a primal maximization problem and a dual minimization problem, based on which confidence intervals for the value of the dynamic program can be constructed by

FOIL

Information and Its Role in Nature. of possibly . functions exhibiting strong . features and low regularity in isotropic Sobolev or Besov scales. Specifically, we focus on the solution of . which exhibit . where, additionally, high-dimensionality enters when the convection field, and hence the solutions, depend on parameters varying

粗鲁性质

Constructive Philosophy of Information, Vector-Valued Spaces and Applications to Nonlinear Inverse Problems”. This project has been concerned with (nonlinear) elliptic and parabolic operator equations on nontrivial domains as well as with related inverse parameter identification problems. In this paper we study analytic properties of the

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Shaukat Ali,Shah Khusro,Akif Khan,Hayat Khanr Operator Equations: Sparse Grids, Vector-Valued Spaces and Applications to Nonlinear Inverse Problems”. This project has been concerned with (nonlinear) elliptic and parabolic operator equations on nontrivial domains as well as with related inverse parameter identification problems. One crucial st

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