On Optimal Recovery and Information Complexity in Numerical Differentiation and Summation
Fuente:
arXiv
Saved in:
| Main Authors: | Semenova, Y. V., Solodky, S. G. |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An optimal method for high order mixed derivatives of bivariate functions
by: Semenova, Y. V., et al.
Published: (2024)
by: Semenova, Y. V., et al.
Published: (2024)
Numerical Differentiation of Functions of Two Variables Using Chebyshev Polynomials
by: Kyselov, Maksym, et al.
Published: (2026)
by: Kyselov, Maksym, et al.
Published: (2026)
Minimal Numerical Differentiation Formulas
by: Davydov, Oleg, et al.
Published: (2016)
by: Davydov, Oleg, et al.
Published: (2016)
On optimal recovery of unbounded operators from inaccurate data
by: Davydov, Oleg, et al.
Published: (2025)
by: Davydov, Oleg, et al.
Published: (2025)
Summation-by-parts operators for general function spaces: The second derivative
by: Glaubitz, Jan, et al.
Published: (2023)
by: Glaubitz, Jan, et al.
Published: (2023)
Error Analysis of Truncation Legendre Method for Solving Numerical Differentiation
by: Kyselov, Maksym
Published: (2025)
by: Kyselov, Maksym
Published: (2025)
Spectral Properties of Numerical Differentiation
by: Dvornikov, Maxim
Published: (2004)
by: Dvornikov, Maxim
Published: (2004)
Improvement of conformal maps combined with the Sinc approximation for derivatives over infinite intervals
by: Okayama, Tomoaki, et al.
Published: (2025)
by: Okayama, Tomoaki, et al.
Published: (2025)
Greedy Adaptive Local Recovery of Functions in Sobolev Spaces
by: Schaback, Robert
Published: (2024)
by: Schaback, Robert
Published: (2024)
Derivatives of the full QR factorisation and of the factored-form and compact WY representations
by: Papanicolopulos, Stefanos-Aldo
Published: (2024)
by: Papanicolopulos, Stefanos-Aldo
Published: (2024)
Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry
by: Vidal, Pauline, et al.
Published: (2025)
by: Vidal, Pauline, et al.
Published: (2025)
Why summation by parts is not enough
by: Glaubitz, Jan, et al.
Published: (2026)
by: Glaubitz, Jan, et al.
Published: (2026)
The Fast Newton Transform: Interpolation in Downward Closed Polynomial Spaces
by: Hofmann, Phil-Alexander, et al.
Published: (2025)
by: Hofmann, Phil-Alexander, et al.
Published: (2025)
Numerical solution of 2D boundary value problems on merged Voronoi-Delaunay meshes
by: Chernyshov, M. M., et al.
Published: (2025)
by: Chernyshov, M. M., et al.
Published: (2025)
Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
by: Glaubitz, Jan, et al.
Published: (2025)
by: Glaubitz, Jan, et al.
Published: (2025)
An Extension of the Euler-Maclaurin Summation Formula to Nearly Singular Functions
by: Wu, Bowei
Published: (2024)
by: Wu, Bowei
Published: (2024)
A Bernoulli-barycentric rational matrix collocation method with preconditioning for a class of evolutionary PDEs
by: Luo, Wei-Hua, et al.
Published: (2024)
by: Luo, Wei-Hua, et al.
Published: (2024)
Splinets -- splines through the Taylor expansion, their support sets and orthogonal bases
by: Podgórski, Krzysztof
Published: (2021)
by: Podgórski, Krzysztof
Published: (2021)
Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods
by: Gilbert, Alexander D., et al.
Published: (2024)
by: Gilbert, Alexander D., et al.
Published: (2024)
An algorithmic approach to direct spline products: procedures and computational aspects
by: Patrizi, Francesco, et al.
Published: (2026)
by: Patrizi, Francesco, et al.
Published: (2026)
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026)
by: Hale, Nicholas, et al.
Published: (2026)
Optimal with respect to accuracy algorithms for calculation of multidimensional weakly singular integrals and applications to calculation of capacitances of conductors of arbitrary shapes
by: Boikov, I., et al.
Published: (2003)
by: Boikov, I., et al.
Published: (2003)
Uniform relations between the Gauss-Legendre nodes and weights
by: Pouso, Óscar López, et al.
Published: (2023)
by: Pouso, Óscar López, et al.
Published: (2023)
On the deterioration of convergence rate of spectral differentiations for functions with singularities
by: Wang, Haiyong
Published: (2025)
by: Wang, Haiyong
Published: (2025)
Barycentric interpolation formulas for the sphere and the disk
by: Chiwere, Michael, et al.
Published: (2024)
by: Chiwere, Michael, et al.
Published: (2024)
Spectral interpolation in semi-implicit semi-Lagrangian methods for shallow water equations on the sphere
by: Chiwere, Michael, et al.
Published: (2026)
by: Chiwere, Michael, et al.
Published: (2026)
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems and applications
by: Chernov, Alexey, et al.
Published: (2023)
by: Chernov, Alexey, et al.
Published: (2023)
Correcting Auto-Differentiation in Neural-ODE Training
by: Xu, Yewei, et al.
Published: (2023)
by: Xu, Yewei, et al.
Published: (2023)
An insight on some properties of high order nonstandard linear multistep methods
by: Takács, Bálint
Published: (2025)
by: Takács, Bálint
Published: (2025)
Optimal one-sided approximants of circular arc
by: Praprotnik, Ada Šadl, et al.
Published: (2024)
by: Praprotnik, Ada Šadl, et al.
Published: (2024)
Numerical Aspects of the Tensor Product Multilevel Method for High-dimensional, Kernel-based Reconstruction on Sparse Grids
by: Büttner, Markus, et al.
Published: (2025)
by: Büttner, Markus, et al.
Published: (2025)
Compression of Currents and Varifolds
by: Paul, Allen, et al.
Published: (2024)
by: Paul, Allen, et al.
Published: (2024)
Nonlinear stationary subdivision schemes that reproduce trigonometric functions
by: Donat, Rosa, et al.
Published: (2018)
by: Donat, Rosa, et al.
Published: (2018)
Accurately recover global quasiperiodic systems by finite points
by: Jiang, Kai, et al.
Published: (2023)
by: Jiang, Kai, et al.
Published: (2023)
An Optimal Ansatz Space for Moving Least Squares Approximation on Spheres
by: Hielscher, Ralf, et al.
Published: (2023)
by: Hielscher, Ralf, et al.
Published: (2023)
Curvature-Based Optimal Polynomial Geometric Interpolation of Circular Arcs
by: Češek, Ema, et al.
Published: (2025)
by: Češek, Ema, et al.
Published: (2025)
Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences
by: Hu, Shuaifei, et al.
Published: (2025)
by: Hu, Shuaifei, et al.
Published: (2025)
At the intersection of Numerical Analysis and Spectral Geometry
by: Nigam, Nilima
Published: (2025)
by: Nigam, Nilima
Published: (2025)
Adaptive Mixed FEM for the Stokes eigenvalue problem
by: Boffi, Daniele, et al.
Published: (2024)
by: Boffi, Daniele, et al.
Published: (2024)
Similar Items
-
An optimal method for high order mixed derivatives of bivariate functions
by: Semenova, Y. V., et al.
Published: (2024) -
Numerical Differentiation of Functions of Two Variables Using Chebyshev Polynomials
by: Kyselov, Maksym, et al.
Published: (2026) -
Minimal Numerical Differentiation Formulas
by: Davydov, Oleg, et al.
Published: (2016) -
On optimal recovery of unbounded operators from inaccurate data
by: Davydov, Oleg, et al.
Published: (2025) -
Summation-by-parts operators for general function spaces: The second derivative
by: Glaubitz, Jan, et al.
Published: (2023)