PI-type fully symmetric quadrature rules on the 3-, \dots, 6-simplexes
From MaRDI portal
Publication:2079757
DOI10.1016/j.camwa.2022.08.016OpenAlexW4293203949MaRDI QIDQ2079757
O. Chuluunbaatar, G. Chuluunbaatar, S. I. Vinitskij, Alexander Gusev
Publication date: 30 September 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.08.016
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Computing almost minimal formulas on the square
- Generating uniform random vectors over a simplex with implications to the volume of a certain polytope and to multivariate extremes
- Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
- Extensions of Gauss quadrature via linear programming
- A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
- Symbolic-numerical algorithms for solving the parametric self-adjoint 2D elliptic boundary-value problem using high-accuracy finite element method
- Symbolic-numerical algorithms for solving elliptic boundary-value problems using multivariate simplex Lagrange elements
- Symmetric quadrature rules on a triangle
- On the identification of symmetric quadrature rules for finite element methods
- Foundations of space-time finite element methods: polytopes, interpolation, and integration
- Symmetric triangle quadrature rules for arbitrary functions
- A family of symmetric, optimized quadrature rules for pentatopes
- Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
- Numerical Integration Over Simplexes and Cones
- Numerical Integration Over Simplexes
- High degree efficient symmetrical Gaussian quadrature rules for the triangle
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- Moderate Degree Symmetric Quadrature Rules for the Triangle
- Invariant Integration Formulas for the n-Simplex by Combinatorial Methods
- Some criteria for numerically integrated matrices and quadrature formulas for triangles
- Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems
- Consistent Structures of Invariant Quadrature Rules for the n-Simplex
- Generalized Gaussian quadrature rules over regions with parabolic edges
- Symmetric Quadrature Formulae for Simplexes
- Gaussian quadrature formulas for triangles
- A method for the solution of certain non-linear problems in least squares
- Finite Difference Approximation for Pricing the American Lookback Option
This page was built for publication: PI-type fully symmetric quadrature rules on the 3-, \dots, 6-simplexes