Titlebook: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan; Josef Dick,Frances Y. Kuo,Henryk Wo?niakowski Bo

Nonthreatening

Low-Discrepancy Sequences for Piecewise Smooth Functions on the Torus,We produce low-discrepancy infinite sequences which can be used to approximate the integral of a smooth periodic function restricted to a smooth convex domain with positive curvature in .. The proof depends on simultaneous Diophantine approximation and on appropriate estimates of the decay of the Fourier transform of characteristic functions.

激怒

Subperiodic Trigonometric Hyperinterpolation,Using recent results on subperiodic trigonometric Gaussian quadrature and the construction of subperiodic trigonometric orthogonal bases, we extend Sloan’s notion of hyperinterpolation to trigonometric spaces on subintervals of the period. The result is relevant, for example, to function approximation on spherical or toroidal rectangles.

ANIM

Asparagus

Perceive

978-3-030-10203-6Springer International Publishing AG, part of Springer Nature 2018

inspiration

BALK

Walter Storkebaum,Herbert Witzelo develop techniques that enable one to efficiently tackle the integral fractional Laplacian. In particular, we develop techniques for the treatment of the dense stiffness matrix including the computation of the entries, the efficient assembly and storage of a sparse approximation and the efficient

SPECT

gospel

催眠藥

Problemstellung und Ziel der Arbeit,ver . with zero Dirichlet boundary conditions. A Galerkin method based on a polynomial approximation space is proposed, yielding an approximation .. With sufficiently smooth problem parameters, the method is shown to be rapidly convergent. For . and assuming . is a .. boundary, the convergence of .