成果/Result
- SMOOTHNESS EQUIVALENCE PROPERTIES OF GENERAL MANIFOLD-VALUED DATA SUBDIVISION SCHEMES被引量：23收藏
- 作者：Xie, Gang Yu, Thomas P. -Y.
- 机构：E China Univ Sci & Technol;Drexel Univ
- 来源：MULTISCALE MODELING & SIMULATION 2008
- 关键词：subdivision manifold smoothness
- Smoothness equivalence properties of interpolatory Lie group subdivision schemes被引量：12收藏
- 作者：Xie, Gang Yu, Thomas P. -Y.
- 机构：Drexel Univ;E China Univ Sci & Technol
- 来源：IMA JOURNAL OF NUMERICAL ANALYSIS 2010
- 关键词：subdivision schemes Lie groups matrix Lie groups interpolation smoothness equivalence breakdown of smoothness equivalence
- Single Basepoint Subdivision Schemes for Manifold-valued Data: Time-Symmetry Without Space-Symmetry被引量：7收藏
- 作者：Duchamp, Tom Xie, Gang Yu, Thomas
- 机构：Univ Washington;E China Univ Sci & Technol;Drexel Univ
- 来源：FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 2013
- 关键词：Nonlinear subdivision Affine connection Retraction Exponential map Riemannian manifold Symmetric space Curvature Time-symmetry
- Approximation order equivalence properties of manifold-valued data subdivision schemes被引量：6收藏
- 作者：Xie, Gang Yu, Thomas P-Y.
- 机构：E China Univ Sci & Technol;Drexel Univ
- 来源：IMA JOURNAL OF NUMERICAL ANALYSIS 2012
- 关键词：approximation order subdivision scheme nonlinear subdivision scheme interpolation quasiinterpolation manifold
- Smoothing nonlinear subdivision schemes by averaging被引量：6收藏
- 作者：Duchamp, Tom Xie, Gang Yu, Thomas
- 机构：Univ Washington;East China Univ Sci & Technol;Drexel Univ
- 来源：NUMERICAL ALGORITHMS 2018
- 关键词：Averaging Differential proximity condition Nonlinear subdivision B-Spline Lane-Riesenfeld algorithm Manifold
- A Necessary and Sufficient Proximity Condition for Smoothness Equivalence of Nonlinear Subdivision Schemes被引量：3收藏
- 作者：Duchamp, Tom Xie, Gang Yu, Thomas
- 机构：Univ Washington;East China Univ Sci & Technol;Drexel Univ
- 来源：FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 2016
- 关键词：Differential proximity condition Nonlinear subdivision Manifold Curvature Symmetry Super-convergence Zgymund class Dynamical system Poincare-Dulac normal form Resonance
- Invariance property of proximity conditions in nonlinear subdivision被引量：2收藏
- 作者：Xie, Gang Yu, Thomas P. Y.
- 机构：E China Univ Sci & Technol;Drexel Univ
- 来源：JOURNAL OF APPROXIMATION THEORY 2012
- 关键词：Nonlinear subdivision Proximity condition Manifold Coordinate independence Hermite-Biehler theorem
