Error Analysis of Truncation Legendre Method for Solving Numerical Differentiation
Fuente:
arXiv
Saved in:
| Main Author: | Kyselov, Maksym |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Numerical Differentiation of Functions of Two Variables Using Chebyshev Polynomials
by: Kyselov, Maksym, et al.
Published: (2026)
by: Kyselov, Maksym, et al.
Published: (2026)
Adaptive Mollifiers for High Resolution Recovery of Piecewise Smooth Data from its Spectral Information
by: Tadmor, Eitan, et al.
Published: (2001)
by: Tadmor, Eitan, et al.
Published: (2001)
Legendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations
by: Djellouli, Rabia, et al.
Published: (2021)
by: Djellouli, Rabia, et al.
Published: (2021)
On the deterioration of convergence rate of spectral differentiations for functions with singularities
by: Wang, Haiyong
Published: (2025)
by: Wang, Haiyong
Published: (2025)
Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation
by: Bartel, Felix
Published: (2022)
by: Bartel, Felix
Published: (2022)
On enforcing non-negativity in polynomial approximations in high dimensions
by: Chen, Yuan, et al.
Published: (2024)
by: Chen, Yuan, et al.
Published: (2024)
Besov regularity of multivariate non-periodic functions in terms of half-period cosine coefficients and consequences for recovery and numerical integration
by: Schäfer, Martin, et al.
Published: (2025)
by: Schäfer, Martin, et al.
Published: (2025)
Construction of Optimal Algorithms for Function Approximation in Gaussian Sobolev Spaces
by: Suzuki, Yuya, et al.
Published: (2024)
by: Suzuki, Yuya, et al.
Published: (2024)
Quasi-interpolation using generalized Gaussian kernels
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, et al.
Published: (2024)
Function Approximation in Numerically Rank-Deficient Bases
by: Herremans, Astrid, et al.
Published: (2025)
by: Herremans, Astrid, et al.
Published: (2025)
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data
by: Griebel, Michael, et al.
Published: (2024)
by: Griebel, Michael, et al.
Published: (2024)
Adaptive methods for PDE's: wavelets or mesh refinement?
by: Cohen, Albert
Published: (2002)
by: Cohen, Albert
Published: (2002)
Error Estimates for Gauss--Christoffel Quadrature under Reduced Regularity Conditions
by: Hamzehnejad, Mehdi, et al.
Published: (2025)
by: Hamzehnejad, Mehdi, et al.
Published: (2025)
Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)
by: Wang, Haiyong, et al.
Published: (2023)
Hyperinterpolation beyond exact cubature: a spectral multiplier approach
by: Wu, Hao-Ning
Published: (2026)
by: Wu, Hao-Ning
Published: (2026)
A free parameter depending family of polynomial wavelets on a compact interval
by: Themistoclakis, Woula, et al.
Published: (2025)
by: Themistoclakis, Woula, et al.
Published: (2025)
Error bounds for numerical differentiation using kernels of finite smoothness
by: Davydov, Oleg
Published: (2025)
by: Davydov, Oleg
Published: (2025)
A time dependent fractional order diffusion equation with constant diffusivity matrix
by: Catoe, T., et al.
Published: (2026)
by: Catoe, T., et al.
Published: (2026)
Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, et al.
Published: (2024)
Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples
by: Adcock, Ben, et al.
Published: (2023)
by: Adcock, Ben, et al.
Published: (2023)
Adaptive stochastic Galerkin finite element methods: Optimality and non-affine coefficients
by: Bachmayr, Markus, et al.
Published: (2025)
by: Bachmayr, Markus, et al.
Published: (2025)
A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields
by: Bachmayr, Markus, et al.
Published: (2024)
by: Bachmayr, Markus, 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)
Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification
by: Rieger, Christian, et al.
Published: (2024)
by: Rieger, Christian, et al.
Published: (2024)
Some remarks on regularized Shannon sampling formulas
by: Kircheis, Melanie, et al.
Published: (2024)
by: Kircheis, Melanie, et al.
Published: (2024)
Approximation of generalized Wiener classes of functions of several variables in different metrics
by: Shidlich, Andrii
Published: (2026)
by: Shidlich, Andrii
Published: (2026)
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
by: Imbert-Gérard, Lise-Marie, et al.
Published: (2024)
by: Imbert-Gérard, Lise-Marie, et al.
Published: (2024)
A Random Integration Algorithm for High-dimensional Function Spaces
by: Chen, Liang, et al.
Published: (2024)
by: Chen, Liang, et al.
Published: (2024)
Comparative study on higher order compact RBF-FD formulas with Gaussian and Multiquadric radial functions
by: Yadav, Manoj Kumar, et al.
Published: (2024)
by: Yadav, Manoj Kumar, et al.
Published: (2024)
Scaling Optimized Spectral Approximations on Unbounded Domains: The Generalized Hermite and Laguerre Methods
by: Hu, Hao, et al.
Published: (2026)
by: Hu, Hao, et al.
Published: (2026)
Framelets and Wavelets with Mixed Dilation Factors
by: Lu, Ran
Published: (2025)
by: Lu, Ran
Published: (2025)
Superconvergence points of Hermite spectral interpolation
by: Wang, Haiyong, et al.
Published: (2025)
by: Wang, Haiyong, et al.
Published: (2025)
A Bivariate Spline Construction of Orthonormal Polynomials over Polygonal Domains and Its Applications to Quadrature
by: Lai, Ming-Jun
Published: (2026)
by: Lai, Ming-Jun
Published: (2026)
Discontinuous piecewise polynomial approximation on non-Lipschitz domains
by: Hewett, D P
Published: (2025)
by: Hewett, D P
Published: (2025)
Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations
by: Liu, Wenjie, et al.
Published: (2026)
by: Liu, Wenjie, et al.
Published: (2026)
On the critical length conjecture for spherical Bessel functions in CAGD
by: Kounchev, Ognyan, et al.
Published: (2025)
by: Kounchev, Ognyan, et al.
Published: (2025)
A lattice algorithm with multiple shifts for function approximation in Korobov spaces
by: Cai, Mou, et al.
Published: (2025)
by: Cai, Mou, et al.
Published: (2025)
Function recovery on manifolds using scattered data
by: Krieg, David, et al.
Published: (2021)
by: Krieg, David, et al.
Published: (2021)
Monte Carlo quasi-interpolation of spherical data
by: Sun, Zhengjie, et al.
Published: (2025)
by: Sun, Zhengjie, et al.
Published: (2025)
Spherical quasi-interpolation using scaled zonal kernels
by: Sun, Zhengjie, et al.
Published: (2024)
by: Sun, Zhengjie, et al.
Published: (2024)
Similar Items
-
Numerical Differentiation of Functions of Two Variables Using Chebyshev Polynomials
by: Kyselov, Maksym, et al.
Published: (2026) -
Adaptive Mollifiers for High Resolution Recovery of Piecewise Smooth Data from its Spectral Information
by: Tadmor, Eitan, et al.
Published: (2001) -
Legendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations
by: Djellouli, Rabia, et al.
Published: (2021) -
On the deterioration of convergence rate of spectral differentiations for functions with singularities
by: Wang, Haiyong
Published: (2025) -
Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation
by: Bartel, Felix
Published: (2022)