1. Corrected Trapezoidal Rules for Near-Singular Surface Integrals Applied to 3D Interfacial Stokes Flow
   2025/04/01 by Nitsche, Monika, Wu, Bowei, Xu, Ling · 2 citations
   #31B10 #65D30 #FOS: Mathematics #Numerical Analysis (math.NA)
2. Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation
   2025/02/18 by Graham, Ivan G., Kuo, Frances Y., Nuyens, Dirk +2 · 1 citation
   #35Q86 #60G60 #65D30 #65D32 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
3. Correct implied volatility shapes and reliable pricing in the rough Heston model
   2024/12/20 by Svetlana Boyarchenko, Boyarchenko, Svetlana, Sergei Levendorskiı̌ +1 · 2 citations
   Economics, Econometrics and Finance · #60-08 #60E10 #60G10 #60G22 #65C20 #65D30 #65G20 #91G20 #91G60 #Computational Finance (q-fin.CP) #FOS: Economics and business #Mathematical Finance (q-fin.MF) #Stochastic processes and financial applications
4. Multilevel randomized quasi-Monte Carlo estimator for nested integration
   2024/12/10 by Bartuska, Arved, Carlon, André Gustavo, Espath, Luis +2 · 1 citation
   #62F15 #65C05 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
5. High-order numerical integration on self-affine sets
   2024/10/01 by Joly, Patrick, Kachanovska, Maryna, Moitier, Zoïs · 1 citation
   #28A80 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
6. Weighted least ℓ_p approximation on compact Riemannian manifolds
   2024/02/29 by Li, Jiansong, Ling, Yun, Geng, Jiaxin +1 · 1 citation
   #41A17 #41A55 #41A63 #65D15 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
7. Volume-Preserving Transformers for Learning Time Series Data with Structure
   2023/12/18 by Brantner, Benedikt, de Romemont, Guillaume, Kraus, Michael +1 · 1 citation
   #37M15 #65D30 #65P10 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
8. Convergence analysis of Hermite approximations for analytic functions
   2023/12/13 by Haiyong Wang, Wang, Haiyong, Lun Zhang +1 · 1 citation
   Mathematics · #41A05 #41A10 #41A25 #65D30 #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)
9. Bounds for the sampling discretization error and their applications to the universal sampling discretization
   2023/12/09 by Kosov, E. D., Temlyakov, V. N. · 1 citation
   #41A63 (Secondary) #65D30 #65J05 (Primary) 42A05 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)
10. High-order integration on regular triangulated manifolds reaches super-algebraic approximation rates through cubical re-parameterizations
    2023/11/23 by Zavalani, Gentian, Sander, Oliver, Hecht, Michael · 1 citation
    #65D15 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
11. Deep Learning Based on Randomized Quasi-Monte Carlo Method for Solving Linear Kolmogorov Partial Differential Equation
    2023/10/27 by Ji‐Chang Xiao, Xiao, Jichang, Fengjiang Fu +3 · 1 citation
    Mathematics · #65C30 #65D30 #65N15 #68T07 #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Statistical and numerical algorithms
12. Complex spherical designs from group orbits
    2023/07/21 by Mohammadpour, Mozhgan, Waldron, Shayne · 1 citation
    #05B30 #42C15 #65D30 #94A12 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)
13. Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation
    2023/07/14 by A. Gibbs, D. P. Hewett, Gibbs, A. +3 · 1 citation
    Mathematics · Physics and Astronomy · #30E20 #41A60 #65D30 #Electromagnetic Scattering and Analysis #FOS: Mathematics #Mathematical functions and polynomials #Numerical Analysis (math.NA)
14. Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems and applications
    2023/06/12 by Chernov, Alexey, Le, Tung · 3 citations
    #65C30 #65D30 #65N25 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
15. Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets
    2023/03/23 by Gibbs, Andrew, Hewett, David P., Major, Botond · 1 citation
    #28A80 #65D30 #FOS: Mathematics #Numerical Analysis (math.NA)
16. Uncertainty quantification for random domains using periodic random variables
    2022/10/31 by Hakula, Harri, Harbrecht, Helmut, Kaarnioja, Vesa +2 · 1 citation
    #35R60 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
17. An efficient and fast sparse grid algorithm for high-dimensional numerical integration
    2022/10/25 by Huicong Zhong, Xiaobing Feng, Zhong, Huicong +1 · 1 citation
    Computer Science · Engineering · Physics and Astronomy · #65C05 #65D30 #65D40 #65N99 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
18. A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces
    2022/09/05 by Bowei Wu, Per‐Gunnar Martinsson, Wu, Bowei +1 · 2 citations
    Engineering · Physics and Astronomy · #31A10 #31B10 #65D30 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
19. Fractional Laplacian - Quadrature rules for singular double integrals in 3D
    2022/08/11 by Feist, Bernd, Bebendorf, Mario · 2 citations
    #35R11 #65D30 #65D32 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
20. Quadrature by Two Expansions for Evaluating Helmholtz Layer Potentials
    2022/07/27 by Weed, Jared, Ding, Lingyun, Huang, Jingfang +1 · 1 citation
    #31C05 #32A55 #41A10 #65D30 #65E05 #65R20 #65T40 #FOS: Mathematics #Numerical Analysis (math.NA)
21. A recursive algorithm for an efficient and accurate computation of incomplete Bessel functions
    2022/04/24 by Richard Mikaël Slevinsky, Hassan Safouhi, Slevinsky, Richard M. +1 · 1 citation
    Mathematics · Physics and Astronomy · #65B05 #65D30 #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Numerical Analysis (math.NA)
22. Sampling discretization of integral norms and its application
    2021/09/18 by Dai, F., Temlyakov, V. · 1 citation
    #41A63 #65D30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA) #Primary 65J05 #Secondary 42A05
23. Data-driven balancing of linear dynamical systems
    2021/04/02 by Ion Victor Gosea, Gosea, Ion Victor, Serkan Gugercin +3 · 2 citations
    Engineering · Mathematics · Physics and Astronomy · #37M99 #41A20 #65D30 #65K99 #93A15 #93B15 #Control Systems and Identification #FOS: Electrical engineering #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations #Systems and Control (eess.SY) #electronic engineering #information engineering
24. Performance analysis of greedy algorithms for minimising a Maximum Mean Discrepancy
    2021/01/19 by Pronzato, Luc · 1 citation
    #62K99 #65D30 #65D99 #Computation (stat.CO) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
25. Approximation and quadrature by weighted least squares polynomials on the sphere
    2021/01/11 by Wanting Lu, Lu, Wanting, Heping Wang +1 · 1 citation
    Mathematics · #41A17 #42A10 #65D30 #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Mathematical functions and polynomials #Numerical Analysis (math.NA)
26. Constructing Positive Interpolatory Cubature Formulas
    2020/09/24 by Glaubitz, Jan · 1 citation
    #42C05 #65D05 #65D30 #65D32 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
27. Random points are optimal for the approximation of Sobolev functions
    2020/09/23 by Krieg, David, Sonnleitner, Mathias · 2 citations
    #41A25 #41A63 #62D05 #65D15 #65D30 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)
28. Low-rank updates of matrix functions II: Rational Krylov methods
    2020/08/26 by Beckermann, Bernhard, Cortinovis, Alice, Kressner, Daniel +1 · 1 citation
    #15A16 #65D30 #65F30 #65F60 #FOS: Mathematics #Numerical Analysis (math.NA)
29. Distributed Learning via Filtered Hyperinterpolation on Manifolds
    2020/07/18 by Montúfar, Guido, Wang, Yu Guang · 3 citations
    #41A05 #42C05 #58C05 #58C35 #65D05 #65D30 #65T60 #65Y05 #68Q32 #94A12 #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #G.1.1 #G.1.2 #G.1.4 #I.2.6 #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
30. A Deterministic Algorithm for Constructing Multiple Rank-1 Lattices of Near-Optimal Size
    2020/03/21 by Gross, Craig, Iwen, Mark A., Kämmerer, Lutz +1 · 1 citation
    #42B05 #42B35 #65D30 #65D32 #65T40 #65T50 #65Y20 #68Q17 #68Q25 #FOS: Mathematics #Numerical Analysis (math.NA)

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