Larry L. Schumaker

Publication Activity (10 Years)

Years Active: 1964-2022
Publications (10 Years): 3

Top Topics

Spherical Images

Shape Preserving

Lagrange Interpolation

Top Venues

Comput. Aided Geom. Des.

J. Sci. Comput.

J. Comput. Appl. Math.

Adv. Comput. Math.

Publications

Larry L. Schumaker, Annan Yu
Approximation by polynomial splines on curved triangulations. Comput. Aided Geom. Des. 92 (2022)
Larry L. Schumaker
Solving Elliptic PDE's Using Polynomial Splines on Curved Triangulations. J. Sci. Comput. 92 (2) (2022)
Larry L. Schumaker
Solving Elliptic PDE's on Domains with Curved Boundaries with an Immersed Penalized Boundary Method. J. Sci. Comput. 80 (3) (2019)
Larry L. Schumaker, Hendrik Speleers
Convexity preserving C 0 splines. Adv. Comput. Math. 40 (1) (2014)
Larry L. Schumaker
Splines on spherical triangulations with hanging vertices. Comput. Aided Geom. Des. 30 (3) (2013)
Larry L. Schumaker, Lujun Wang
On Hermite interpolation with polynomial splines on T-meshes. J. Comput. Appl. Math. 240 (2013)
Larry L. Schumaker, Lujun Wang
Approximation power of polynomial splines on T-meshes. Comput. Aided Geom. Des. 29 (8) (2012)
Larry L. Schumaker, Hendrik Speleers
Convexity preserving splines over triangulations. Comput. Aided Geom. Des. 28 (4) (2011)
Larry L. Schumaker, Lujun Wang
Spline spaces on TR-meshes with hanging vertices. Numerische Mathematik 118 (3) (2011)
Larry L. Schumaker, Hendrik Speleers
Nonnegativity preserving macro-element interpolation of scattered data. Comput. Aided Geom. Des. 27 (3) (2010)
Peter Alfeld, Larry L. Schumaker, Tatyana Sorokina
Two condensed macro-elements with full approximation power. Adv. Comput. Math. 32 (4) (2010)
Gero Hecklin, Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder
splines on tetrahedral partitions. J. Approx. Theory 160 (1-2) (2009)
Larry L. Schumaker, Tatyana Sorokina, Andrew J. Worsey
quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions. J. Approx. Theory 158 (1) (2009)
Ming-Jun Lai, Larry L. Schumaker
A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data. SIAM J. Numer. Anal. 47 (2) (2009)
Gero Hecklin, Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder
cubic splines on Freudenthal partitions. Math. Comput. 77 (262) (2008)
Larry L. Schumaker
Computing bivariate splines in scattered data fitting and the finite-element method. Numer. Algorithms 48 (1-3) (2008)
Peter Alfeld, Larry L. Schumaker
Bounds on the dimensions of trivariate spline spaces. Adv. Comput. Math. 29 (4) (2008)
Oleg Davydov, Larry L. Schumaker
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines. IMA Conference on the Mathematics of Surfaces (2007)
Larry L. Schumaker, Tatyana Sorokina
Smooth macro-elements on Powell-Sabin-12 splits. Math. Comput. 75 (254) (2006)
Vera Rayevskaya, Larry L. Schumaker
Multi-sided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling. Comput. Aided Geom. Des. 22 (2005)
Peter Alfeld, Larry L. Schumaker
Trivariate Macroelement Based on the Worsey-Farin Split of a Tetrahedron. SIAM J. Numer. Anal. 43 (4) (2005)
Peter Alfeld, Larry L. Schumaker
trivariate macro-element based on the Clough-Tocher-split of a tetrahedron. Comput. Aided Geom. Des. 22 (7) (2005)
Larry L. Schumaker
Preface. Adv. Comput. Math. 21 (3-4) (2004)
Don Hong, Larry L. Schumaker
Cubic Splines with a Hierarchical Basis. Computing 72 (1-2) (2004)
Larry L. Schumaker, Tatyana Sorokina
Quintic Splines on Type-4 Tetrahedral Partitions. Adv. Comput. Math. 21 (3-4) (2004)
Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder
Cubic Splines on Triangulated Quadrangulations. Adv. Comput. Math. 21 (3-4) (2004)
Marian Neamtu, Larry L. Schumaker
On the Approximation Order of Splines on Spherical Triangulations. Adv. Comput. Math. 21 (1-2) (2004)
Ming-Jun Lai, Larry L. Schumaker
Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Math. Comput. 72 (241) (2003)
Frank Deutsch, Larry L. Schumaker, Zvi Ziegler
Approximating weak Chebyshev subspaces by Chebyshev subspaces. J. Approx. Theory 123 (2) (2003)
Ming-Jun Lai, Larry L. Schumaker
Quadrilateral Macroelements. SIAM J. Math. Anal. 33 (5) (2002)
Peter Alfeld, Larry L. Schumaker
Smooth macro-elements based on Clough-Tocher triangle splits. Numerische Mathematik 90 (4) (2002)
Peter Alfeld, Larry L. Schumaker
Smooth Macro-Elements Based on Powell-Sabin Triangle Splits. Adv. Comput. Math. 16 (1) (2002)
Manfred von Golitschek, Ming-Jun Lai, Larry L. Schumaker
Error bounds for minimal energy bivariate polynomial splines. Numerische Mathematik 93 (2) (2002)
Oleg Davydov, Larry L. Schumaker
Quartic Bivariate Splines. SIAM J. Numer. Anal. 39 (5) (2002)
Ming-Jun Lai, Larry L. Schumaker
Macro-elements and stable local bases for splines on Clough-Tocher triangulations. Numerische Mathematik 88 (1) (2001)
Tom Lyche, Larry L. Schumaker
A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere. SIAM J. Sci. Comput. 22 (2) (2000)
Peter Alfeld, Larry L. Schumaker
Nonexistence of Star-Supported Spline Bases. SIAM J. Math. Anal. 31 (2) (2000)
Oleg Davydov, Larry L. Schumaker
Locally linearly independent bases for bivariate polynomial spline spaces. Adv. Comput. Math. 13 (4) (2000)
Ming-Jun Lai, Larry L. Schumaker
On the approximation power of bivariate splines. Adv. Comput. Math. 9 (3-4) (1998)
Larry L. Schumaker, Sonya S. Stanley
Shape-preserving knot removal. Comput. Aided Geom. Des. 13 (9) (1996)
Peter Alfeld, Marian Neamtu, Larry L. Schumaker
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Comput. Aided Geom. Des. 13 (4) (1996)
Gregory E. Fasshauer, Larry L. Schumaker
Minimal energy surfaces using parametric splines. Comput. Aided Geom. Des. 13 (1) (1996)
Per Erik Koch, Tom Lyche, Marian Neamtu, Larry L. Schumaker
Control curves and knot insertion for trigonometric splines. Adv. Comput. Math. 3 (4) (1995)
Larry L. Schumaker
Triangulations in CAGD. IEEE Computer Graphics and Applications 13 (1) (1993)
Larry L. Schumaker
Computing optimal triangulations using simulated annealing. Comput. Aided Geom. Des. 10 (3-4) (1993)
Larry L. Schumaker
Spline Models for Observational Data (Grace Wahba). SIAM Rev. 33 (3) (1991)
Larry L. Schumaker, Florencio I. Utreras
On Generalized Cross Validation for Tensor Smoothing Splines. SIAM J. Sci. Comput. 11 (4) (1990)
Ewald Quak, Larry L. Schumaker
Cubic spline fitting using data dependent triangulations. Comput. Aided Geom. Des. 7 (1-4) (1990)
Larry L. Schumaker
Dual bases for spline spaces on cells. Comput. Aided Geom. Des. 5 (4) (1988)
Peter Alfeld, Bruce R. Piper, Larry L. Schumaker
Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree d 4r + 1. Comput. Aided Geom. Des. 4 (1-2) (1987)
Larry L. Schumaker
Letter to the editor. Comput. Aided Geom. Des. 3 (1) (1986)
Larry L. Schumaker, Wolfgang Volk
Efficient evaluation of multivariate polynomials. Comput. Aided Geom. Des. 3 (2) (1986)
Elaine Cohen, Larry L. Schumaker
Rates of convergence of control polygons. Comput. Aided Geom. Des. 2 (1-3) (1985)
Elaine Cohen, Tom Lyche, Larry L. Schumaker
Algorithms for Degree-Raising of Splines. ACM Trans. Graph. 4 (3) (1985)
Harold D. Eidson, Larry L. Schumaker
Computation of g-Splines via a Factorization Method [E2] (Algorithm 485). Commun. ACM 17 (9) (1974)
Tom Lyche, Larry L. Schumaker
Procedures for computing Smoothing and Interpolating Natural Splines [E1] (Algorithm 480). Commun. ACM 17 (8) (1974)
Larry L. Schumaker
Certification of Algorithm 215: Shanks. Commun. ACM 7 (5) (1964)