Exponential convergence of hp quadrature for integral operators with Gevrey kernels
ESAIM: M2AN, 45 3 (2011) 387-422
Published online: 2010-10-11
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation
Joost A.A. Opschoor and Christoph SchwabComputers & Mathematics with Applications 169 142 (2024)
https://doi.org/10.1016/j.camwa.2024.06.008
An implementation of hp-FEM for the fractional Laplacian
Björn Bahr, Markus Faustmann and Jens Markus MelenkComputers & Mathematics with Applications 176 324 (2024)
https://doi.org/10.1016/j.camwa.2024.10.005
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction
Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner and Christoph SchwabAdvances in Computational Mathematics 50 (5) (2024)
https://doi.org/10.1007/s10444-024-10187-8
An exponentially convergent discretization for space–time fractional parabolic equations using hp-FEM
Jens Markus Melenk and Alexander RiederIMA Journal of Numerical Analysis 43 (4) 2352 (2023)
https://doi.org/10.1093/imanum/drac045
165 27 (2023)
https://doi.org/10.1007/978-3-031-34089-5_2
Power series expansion neural network
Qipin Chen, Wenrui Hao and Juncai HeJournal of Computational Science 59 101552 (2022)
https://doi.org/10.1016/j.jocs.2021.101552
Finite element algorithms for nonlocal minimal graphs
Juan Pablo Borthagaray, Wenbo Li and Ricardo H. NochettoMathematics in Engineering 4 (2) 1 (2021)
https://doi.org/10.3934/mine.2022016
A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems
Marta D’Elia, Max Gunzburger and Christian VollmannMathematical Models and Methods in Applied Sciences 31 (08) 1505 (2021)
https://doi.org/10.1142/S0218202521500317
Exponential convergence in $$H^1$$ of hp-FEM for Gevrey regularity with isotropic singularities
M. Feischl and Ch. SchwabNumerische Mathematik 144 (2) 323 (2020)
https://doi.org/10.1007/s00211-019-01085-z
Numerical methods for nonlocal and fractional models
Marta D’Elia, Qiang Du, Christian Glusa, et al.Acta Numerica 29 1 (2020)
https://doi.org/10.1017/S096249292000001X
Deep ReLU networks and high-order finite element methods
Joost A. A. Opschoor, Philipp C. Petersen and Christoph SchwabAnalysis and Applications 18 (05) 715 (2020)
https://doi.org/10.1142/S0219530519410136
Decay of singular values for infinite-dimensional systems with Gevrey regularity
Mark R. OpmeerSystems & Control Letters 137 104644 (2020)
https://doi.org/10.1016/j.sysconle.2020.104644
Aspects of an adaptive finite element method for the fractional Laplacian: A priori and a posteriori error estimates, efficient implementation and multigrid solver
Mark Ainsworth and Christian GlusaComputer Methods in Applied Mechanics and Engineering 327 4 (2017)
https://doi.org/10.1016/j.cma.2017.08.019
Adaptive Boundary Element Methods
Michael Feischl, Thomas Führer, Norbert Heuer, Michael Karkulik and Dirk PraetoriusArchives of Computational Methods in Engineering 22 (3) 309 (2015)
https://doi.org/10.1007/s11831-014-9114-z
Quadrature algorithms for high dimensional singular integrands on simplices
Alexey Chernov, Tobias von Petersdorff and Christoph SchwabNumerical Algorithms 70 (4) 847 (2015)
https://doi.org/10.1007/s11075-015-9977-6
Theoretical and Numerical Investigation of the Finite Cell Method
Monique Dauge, Alexander Düster and Ernst RankJournal of Scientific Computing 65 (3) 1039 (2015)
https://doi.org/10.1007/s10915-015-9997-3
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
Christoph SchwabLecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 106 435 (2015)
https://doi.org/10.1007/978-3-319-19800-2_40
Solving Boundary Integral Problems with BEM++
Wojciech Śmigaj, Timo Betcke, Simon Arridge, Joel Phillips and Martin SchweigerACM Transactions on Mathematical Software 41 (2) 1 (2015)
https://doi.org/10.1145/2590830
Numerical quadrature for high-dimensional singular integrals over parallelotopes
Alexey Chernov and Anne ReinarzComputers & Mathematics with Applications 66 (7) 1213 (2013)
https://doi.org/10.1016/j.camwa.2013.07.017
A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions
S. Sauter and A. VeitNumerische Mathematik 123 (1) 145 (2013)
https://doi.org/10.1007/s00211-012-0483-7
Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh‐refinement
Michael Karkulik, Günther Of and Dirk PraetoriusNumerical Methods for Partial Differential Equations 29 (6) 2081 (2013)
https://doi.org/10.1002/num.21792
On the numerical evaluation of the singular integrals of scattering theory
James Bremer and Zydrunas GimbutasJournal of Computational Physics 251 327 (2013)
https://doi.org/10.1016/j.jcp.2013.05.048
Exponential Convergence of Gauss--Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension
Alexey Chernov and Christoph SchwabSIAM Journal on Numerical Analysis 50 (3) 1433 (2012)
https://doi.org/10.1137/100812574
hp-DGFEM FOR KOLMOGOROV–FOKKER–PLANCK EQUATIONS OF MULTIVARIATE LÉVY PROCESSES
DANIELE MARAZZINA, OLEG REICHMANN and CHRISTOPH SCHWABMathematical Models and Methods in Applied Sciences 22 (01) (2012)
https://doi.org/10.1142/S0218202512005897
REGULARITY AND GENERALIZED POLYNOMIAL CHAOS APPROXIMATION OF PARAMETRIC AND RANDOM SECOND-ORDER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS
VIET HA HOANG and CHRISTOPH SCHWABAnalysis and Applications 10 (03) 295 (2012)
https://doi.org/10.1142/S0219530512500145
A Nyström method for weakly singular integral operators on surfaces
James Bremer and Zydrunas GimbutasJournal of Computational Physics 231 (14) 4885 (2012)
https://doi.org/10.1016/j.jcp.2012.04.003
PSEUDODIFFERENTIAL EQUATIONS ON THE SPHERE WITH SPHERICAL SPLINES
T. D. PHAM, T. TRAN and A. CHERNOVMathematical Models and Methods in Applied Sciences 21 (09) 1933 (2011)
https://doi.org/10.1142/S021820251100560X
Wavelet solution of variable order pseudodifferential equations
R. Schneider, O. Reichmann and C. SchwabCalcolo 47 (2) 65 (2010)
https://doi.org/10.1007/s10092-009-0012-y