output
19932026
Showing 2023 · math.NAShow all

6 papers · 2 filters

math.NA2023★ 13 cited

NumCalc: An open source BEM code for solving acoustic scattering problems

Wolfgang Kreuzer, Katharina Pollack, Fabian Brinkmann +1

The calculation of the acoustic field in or around objects is an important task in acoustic engineering. To numerically solve this task, the boundary element method (BEM) is a comm…

math.NA2023★ 10 cited

On regularized polynomial functional regression

Markus Holzleitner, Sergei Pereverzyev

This article offers a comprehensive treatment of polynomial functional regression, culminating in the establishment of a novel finite sample bound. This bound encompasses various a…

math.NA2023★ 1 cited

A unified treatment of tractability for approximation problems defined on Hilbert spaces

Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer

A large literature specifies conditions under which the information complexity for a sequence of numerical problems defined for dimensions grows at a moderate rate,…

math.NA2023★ 22 cited

A comparison of smooth basis constructions for isogeometric analysis

H. M. Verhelst, P. Weinmüller, A. Mantzaflaris +2

In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two cl…

math.NA2023

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy

Michael Gnewuch, Peter Kritzer, Art B. Owen +1

Let be a completely monotone integrand as defined by Aistleitner and Dick (2015) and let points hav…

math.NA2023★ 2 cited

Efficient and accurate separable models for discrete material optimization: A continuous perspective

Peter Gangl, Nico Nees, Michael Stingl

Multi-material design optimization problems can, after discretization, be solved by the iterative solution of simpler sub-problems which approximate the original problem at an expa…