English

Spline Quadrature and semi-classical orthogonal Jacobi Polynomials

Numerical Analysis 2022-10-24 v6 Numerical Analysis

Abstract

A theory of spline quadrature rules for arbitrary continuity class in a closed interval [a,b][a, b] with arbitrary nonuniform subintervals based on semi-classical orthogonal Jacobi polynomials is proposed. For continuity class c2c \ge 2 this theory depends on a conjecture.

Keywords

Cite

@article{arxiv.2103.08666,
  title  = {Spline Quadrature and semi-classical orthogonal Jacobi Polynomials},
  author = {Helmut Ruhland},
  journal= {arXiv preprint arXiv:2103.08666},
  year   = {2022}
}

Comments

23 pages, section with fields added

R2 v1 2026-06-24T00:12:05.656Z