Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology
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Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology
Lanini, Martina; Manni, Carla; Schenck, Henry
Springer Verlag, Singapore
02/2025
334
Dura
9789819765072
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Introduction.- Bernstein Bezier 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.
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multivariate splines;GKM Theory;diagram chasing;equivariant cohomology;supersmoothness;homology;Bernstein-Bezier techniques;polyhedral subdivision
Introduction.- Bernstein Bezier 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
