Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices
From MaRDI portal
Publication:1704132
DOI10.1016/j.jat.2018.02.001zbMath1386.65096OpenAlexW2789688627MaRDI QIDQ1704132
Publication date: 8 March 2018
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2018.02.001
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical quadrature and cubature formulas (65D32) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical integration (65D30)
Related Items (1)
Uses Software
Cites Work
- Periodic perturbations of unbounded Jacobi matrices. II: Formulas for density.
- Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
- Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1\)]
- Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution
- Approximation of weight function and approached Padé approximants
- Compact perturbations of orthogonal polynomials
- Converging factors for continued fractions. I, II
- The life and work of André Cholesky
- A survey of general orthogonal polynomials for weights on finite and infinite intervals
- Continued fractions. Vol. 1: Convergence theory
- On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- Toeplitz matrix techniques and convergence of complex weight Padé approximants
- Extensions of Szegö's theory of orthogonal polynomials. II
- Discrete Painlevé equations and their appearance in quantum gravity
- Gaussian quadrature formulas for the numerical calculation of integrals with logarithmic singularity
- Asymptotic expansions of Fourier transforms of functions with logarithmic singularities
- How to choose modified moments?
- Christoffel functions and Turán determinants on several intervals
- Physical and numerical aspects in Lanczos and modified Lanczos calculations
- Linear algebra, rational approximation and orthogonal polynomials
- \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices
- Hypergeometric-type differential equations: second kind solutions and related integrals.
- Asymptotics of orthogonal polynomials: Some old, some new, some identities
- Asymptotics for orthogonal polynomials
- Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight
- The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
- Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
- Une caractérisation des polynômes \(d\)-orthogonaux classiques
- On a system of ``classical polynomials of simultaneous orthogonality
- Gauss quadrature routines for two classes of logarithmic weight functions
- A comparison of differential quadrature methods for the solution of partial differential equations
- An algorithm for Gaussian quadrature given modified moments
- Note on a converging factor for a certain continued fraction
- Twisted difference operators and perturbed Chebyshev polynomials
- One-dimensional Schrödinger equation with non-analytic potentialV(x)= −${g}^{2}$ exp (− ∣x∣) and its exact Bessel-function solvability
- WHAT IS...A Multiple Orthogonal Polynomial?
- The kernel polynomial method
- Exact propagators on the lattice with applications to diffractive effects
- [https://portal.mardi4nfdi.de/wiki/Publication:3214283 Numerical Construction of Gaussian Quadrature Formulas for � � 1 0 (-Log x)⋅x α ⋅f(x) ⋅dx and � � ∞ 0 E m (x) ⋅f(x) ⋅dx]
- Numerical Quadrature and Nonlinear Sequence Transformations; Unified Rules for Efficient Computation of Integrals with Algebraic and Logarithmic Endpoint Singularities
- Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
- Multiple orthogonal polynomials for classical weights
- A Practical Guide to Pseudospectral Methods
- André-Louis Cholesky
- The evaluation and application of some modified moments
- Spectral Methods in Chemistry and Physics
- On the Construction of Gaussian Quadrature Rules from Modified Moments
- An Asymptotic Formula Relating to Orthogonal Polynomials
- Some classical multiple orthogonal polynomials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices
