A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation
Metadatos
Mostrar el registro completo del ítemEditorial
Elsevier
Materia
Bernstein-Bézier representation Hermite interpolation Normalized B-splines Super-convergent quasi-interpolants Control polynomials
Fecha
2021-12-13Referencia bibliográfica
D. Barrera... [et al.]. A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation, Mathematics and Computers in Simulation, Volume 194, 2022, Pages 401-415, ISSN 0378-4754, [https://doi.org/10.1016/j.matcom.2021.12.003]
Patrocinador
Junta de Andalucia; University of Granada, Spain; Universidad de Granada/CBUAResumen
In this paper, we construct a novel normalized B-spline-like representation for C2-continuous cubic spline space defined
on an initial partition refined by inserting two new points inside each sub-interval. The basis functions are compactly
supported non-negative functions that are geometrically constructed and form a convex partition of unity. With the help of the
control polynomial theory introduced herein, a Marsden identity is derived, from which several families of super-convergent
quasi-interpolation operators are defined.