Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology
The book, based on the INdAM Workshop "Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology" provides a bridge between different communities of mathematicians who utilize splines in their work. Splines are mathematical objects which allow researchers in geometric mo...
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| Tác giả của công ty: | |
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| Tác giả khác: | , , |
| Định dạng: | Điện tử eBook |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Phiên bản: | 1st ed. 2024. |
| Loạt: | Springer INdAM Series,
60 |
| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.1007/978-981-97-6508-9 |
| Các nhãn: |
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Mục lục:
- Introduction
- Bernstein Bézier form and its role in studying multivariate splines
- The algebra of splines group actions and homology
- A study on approximation by quartic splines defined on refined triangulations
- Construction of 2D explicit cubic
- Overlap Splines and Meshless Finite Difference
- A characterization of linear independence of THB splines in R n
- Restriction and Extension for planar splines on triangulations
- Supersmoothness of multivariate splines
- Using Geometric Symmetries to Achieve Super Smoothness for Cubic Powell-Sabin Splines
- Finite element diagram chasing
- On tensor product bases of PHT splinespaces
- Momentum graphs, Chinese remainder theorem and the surjectivity of the restriction map
- A Parsimonious Approach to $C^2$ Cubic Splines on Arbitrary Triangulations
- Alcove Walks and GKM Theory for Affine Flags
- Open problems in splines.