Mini-workshop: Multivariate orthogonal polynomials: new synergies with numerical analysis. Abstracts from the mini-workshop held September 25--29, 2023
DOI10.4171/owr/2023/43zbMATH Open1537.0002MaRDI QIDQ6544501
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Publication date: 27 May 2024
Published in: Oberwolfach Reports (Search for Journal in Brave)
Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Collections of abstracts of lectures (00B05) Algorithms for approximation of functions (65D15) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces (42-06) Proceedings, conferences, collections, etc. pertaining to special functions (33-06)
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- Fejér-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle
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- Multivariate Padé-approximants
- On polynomials orthogonal with respect to certain Sobolev inner products
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- Multivariate Padé approximants revisited
- Mixed finite elements in \(\mathbb{R}^3\)
- Spectral methods on triangles and other domains
- Spectral approximation for elliptic boundary value problems
- Asymptotic properties of Sobolev orthogonal polynomials
- Multivariate exponential analysis from the minimal number of samples
- Tensor calculus in polar coordinates using Jacobi polynomials
- Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems
- Avoiding membrane locking with Regge interpolation
- Laguerre expansions on conic domains
- Critical functions and inf-sup stability of Crouzeix-Raviart elements
- Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements
- On a generalization of the Lebesgue's constant
- Approximation and localized polynomial frame on conic domains
- Three term recurrence for the evaluation of multivariate orthogonal polynomials
- Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems
- New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials
- Eine Möglichkeit zur Konvergenzbeschleunigung bei Iterationsverfahren für bestimmte nichtlineare Probleme
- Orthogonal polynomials in two variables
- Sur un procédé convergent d'approximations successives pour déterminer les polynomes d'approximation.
- Orthogonal polynomials on planar cubic curves
- Orthogonal polynomials and Fourier orthogonal series on a cone
- Orthogonal polynomials of several variables
- Orthogonal polynomial eigenfunctions of second-order partial differerential equations
- TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY
- Quantitative uniqueness estimate for the Maxwell system with Lipschitz anisotropic media
- Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity
- On the efficient computation of high-dimensional integrals and the approximation by exponential sums
- Whitney Forms of Higher Degree
- Suboptimal Exponential Approximations
- Regularity theorems for Maxwell's equations
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- Some multivariable orthogonal polynomials of the Askey tableau—Continuous families
- Some multivariable orthogonal polynomials of the Askey tableau-discrete families
- Chebyshev Approximation of Completely Monotonic Functions by Sums of Exponentials
- ON THE SPEED OF RATIONAL APPROXIMATION OF SOME ANALYTIC FUNCTIONS
- ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
- Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
- Finite Element Methods for Maxwell's Equations
- A new triangular and tetrahedral basis for high‐order (hp) finite element methods
- Continued Fractions and Signal Processing
- Orthogonal structure on a quadratic curve
- Sparse spectral methods for partial differential equations on spherical caps
- Near-minimal cubature formulae on the disk
- Orthogonal polynomials in and on a quadratic surface of revolution
- Sparse spectral and ‐finite element methods for partial differential equations on disk slices and trapeziums
- Tensor Spaces and Numerical Tensor Calculus
- On commuting $p$-version projection-based interpolation on tetrahedra
- The intersection of bivariate orthogonal polynomials on triangle patches
- Bernstein-Szegő measures, Banach algebras, and scattering theory
- Cubature Points Based Triangular Spectral Elements: an Accuracy Study
- Spectral Methods
- Orthogonal Polynomials of Several Variables
- On the Construction of Gaussian Quadrature Rules from Modified Moments
- Spectral/hp Element Methods for Computational Fluid Dynamics
- High order Nédélec elements with local complete sequence properties
- Approximation of 1/x by exponential sums in [1, ∞)
- Computational Science - ICCS 2004
- Prony’s Method,Z-Transforms, and Padé Approximation
- Spectral Element Methods on Simplicial Meshes
- Polynomial Least Square Approximations
- A mass conserving mixed stress formulation for the Stokes equations
- Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid
- On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D
- Convergence analysis of a hp‐finite element approximation of the time‐harmonic Maxwell equations with impedance boundary conditions in domains with an analytic boundary
- Orthogonal polynomials on a class of planar algebraic curves
- Whitney edge elements and the Runge phenomenon
- Recurrences for quadrilateral high-order finite elements
- Fourier orthogonal series on a paraboloid
- Computation of best \(L^{\infty }\) exponential sums for \(1 / x\) by Remez' algorithm
- Recursion formulas for integrated products of Jacobi polynomials
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