Zobrazeno 1 - 10
of 168
pro vyhledávání: '"Daan Huybrechs"'
Autor:
BEN ADCOCK, DAAN HUYBRECHS
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and relies only on orthog
Externí odkaz:
https://doaj.org/article/eeaae31a528743649584eb3205d7d02e
Autor:
Peter Opsomer, Daan Huybrechs
Publikováno v:
Journal of Computational and Applied Mathematics. 434:115317
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64181bd62489253b26619c103810243f
https://doi.org/10.1016/j.cam.2023.115317
https://doi.org/10.1016/j.cam.2023.115317
Autor:
Daan Huybrechs, Vincent Coppé
Publikováno v:
IMA Journal of Numerical Analysis. 42:27-53
The approximation of smooth functions with a spectral basis typically leads to rapidly decaying coefficients, where the rate of decay depends on the smoothness of the function and vice versa. The optimal number of degrees of freedom in the approximat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::096c4392911f2226263f3082640a6daf
https://doi.org/10.1093/imanum/draa083
https://doi.org/10.1093/imanum/draa083
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 41:1237-1259
We introduce an algorithm for the least squares solution of a rectangular linear system $Ax=b$, in which $A$ may be arbitrarily ill-conditioned. We assume that a complementary matrix $Z$ is known such that $A - AZ^*A$ is numerically low rank. Loosely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c60cfe57d4c1f370afe256b28410f93
https://doi.org/10.1137/19m1306385
https://doi.org/10.1137/19m1306385
Autor:
Georg Maierhofer, Daan Huybrechs
Publikováno v:
Advances in Computational Mathematics. 48
Collocation boundary element methods for integral equations are easier to implement than Galerkin methods because the elements of the discretization matrix are given by lower-dimensional integrals. For that same reason, the matrix assembly also requi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3af5a9f8dcda9ac1d2141986fe88cbcd
https://doi.org/10.1007/s10444-022-09924-8
https://doi.org/10.1007/s10444-022-09924-8
Autor:
Georg Maierhofer, Daan Huybrechs
In recent work (Maierhofer & Huybrechs, 2022, Adv. Comput. Math.), the authors showed that least-squares oversampling can improve the convergence properties of collocation methods for boundary integral equations involving operators of certain pseudo-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82dce22453e0ff2fdbae8287066516f6
Publikováno v:
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
instname
In this paper we investigate algebraic, differential and asymptotic properties of polynomials $p_n(x)$ that are orthogonal with respect to the complex oscillatory weight $w(x)=e^{i\omega x}$ on the interval $[-1,1]$, where $\omega>0$. We also investi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c102532087fc7258eef2a206a10885d
https://lirias.kuleuven.be/handle/123456789/684733
https://lirias.kuleuven.be/handle/123456789/684733
Autor:
Anda-Elena Olteanu, Daan Huybrechs
Publikováno v:
Wave Motion. 87:92-105
© 2018 Elsevier B.V. The Wave Based Method (WBM) is a Trefftz method for the simulation of wave problems in vibroacoustics. Like other Trefftz methods, it employs a non-standard discretisation basis consisting of solutions of the partial differentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f4a317655145b35d3953b0b29031d3b
https://doi.org/10.1016/j.wavemoti.2018.06.001
https://doi.org/10.1016/j.wavemoti.2018.06.001
Publikováno v:
SIAM Journal on Numerical Analysis. 57:2707-2729
The value of a highly oscillatory integral is typically determined asymptotically by the behaviour of the integrand near a small number of critical points. These include the endpoints of the integration domain and the so-called stationary points or s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d26f9f7814abbd3f15d8a9d560bd5ac
https://doi.org/10.1137/18m1221138
https://doi.org/10.1137/18m1221138
Autor:
Daan Huybrechs, Ben Adcock
Publikováno v:
Journal of Fourier Analysis and Applications. 26
In a previous paper (Adcock and Huybrechs in SIAM Rev 61(3):443–473, 2019) we described the numerical approximation of functions using redundant sets and frames. Redundancy in the function representation offers enormous flexibility compared to usin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3bec5b6c0ddb29052733fe57aec1d4c
https://doi.org/10.1007/s00041-020-09796-w
https://doi.org/10.1007/s00041-020-09796-w