Tractability of quasilinear problems II: Second-order elliptic problems

DOI10.1090/S0025-5718-06-01927-2zbMath1135.65006OpenAlexW1597881843MaRDI QIDQ3426021

Arthur G. Werschulz, Henryk Woźniakowski

Publication date: 7 March 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01927-2

zbMATH Keywords

complexityreproducing kernel Hilbert spacesHelmholtz equationtractabilityhigh-dimensional problemsfinite-order weightsquasi-linear problems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Algorithms for approximation of functions (65D15)

Related Items (5)

On the existence of optimal affine methods for approximating linear functionals ⋮ Tractability of the Fredholm problem of the second kind ⋮ Tight tractability results for a model second-order Neumann problem ⋮ A note on the complexity and tractability of the heat equation ⋮ Tractability of the Helmholtz equation with non-homogeneous Neumann boundary conditions: the relation to the \(L_{2}\)-approximation

Cites Work

• When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
• Finite-order weights imply tractability of linear multivariate problems
• Good lattice rules in weighted Korobov spaces with general weights
• Weakly Differentiable Functions
• Theory of Reproducing Kernels
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