Larry L. Schumaker

According to our database, Larry L. Schumaker authored at least 64 papers between 1964 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2022

Solving Elliptic PDE's Using Polynomial Splines on Curved Triangulations.

Larry L. Schumaker

J. Sci. Comput., 2022

Approximation by polynomial splines on curved triangulations.

Larry L. Schumaker, Annan Yu

Comput. Aided Geom. Des., 2022

2019

Solving Elliptic PDE's on Domains with Curved Boundaries with an Immersed Penalized Boundary Method.

Larry L. Schumaker

J. Sci. Comput., 2019

2015

Spline functions - computational methods.

Larry L. Schumaker

SIAM, ISBN: 978-1-611-97389-1, 2015

2014

Convexity preserving C 0 splines.

Larry L. Schumaker, Hendrik Speleers

Adv. Comput. Math., 2014

2013

On Hermite interpolation with polynomial splines on T-meshes.

Larry L. Schumaker, Lujun Wang

J. Comput. Appl. Math., 2013

Splines on spherical triangulations with hanging vertices.

Larry L. Schumaker

Comput. Aided Geom. Des., 2013

2012

Approximation power of polynomial splines on T-meshes.

Larry L. Schumaker, Lujun Wang

Comput. Aided Geom. Des., 2012

2011

Spline spaces on TR-meshes with hanging vertices.

Larry L. Schumaker, Lujun Wang

Numerische Mathematik, 2011

Convexity preserving splines over triangulations.

Larry L. Schumaker, Hendrik Speleers

Comput. Aided Geom. Des., 2011

2010

Nonnegativity preserving macro-element interpolation of scattered data.

Larry L. Schumaker, Hendrik Speleers

Comput. Aided Geom. Des., 2010

Two condensed macro-elements with full approximation power.

Peter Alfeld, Larry L. Schumaker, Tatyana Sorokina

Adv. Comput. Math., 2010

2009

A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data.

Ming-Jun Lai, Larry L. Schumaker

SIAM J. Numer. Anal., 2009

A C¹ quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions.

Larry L. Schumaker, Tatyana Sorokina, Andrew J. Worsey

J. Approx. Theory, 2009

Local lagrange interpolation with cubic C¹ splines on tetrahedral partitions.

Gero Hecklin, Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder

J. Approx. Theory, 2009

2008

Computing bivariate splines in scattered data fitting and the finite-element method.

Larry L. Schumaker

Numer. Algorithms, 2008

A local Lagrange interpolation method based on C¹ cubic splines on Freudenthal partitions.

Gero Hecklin, Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder

Math. Comput., 2008

Bounds on the dimensions of trivariate spline spaces.

Peter Alfeld, Larry L. Schumaker

Adv. Comput. Math., 2008

2007

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines.

Oleg Davydov, Larry L. Schumaker

Proceedings of the Mathematics of Surfaces XII, 2007

Spline functions - basic theory, Third Edition.

Larry L. Schumaker

Cambridge mathematical library, Cambridge University Press, ISBN: 978-0-521-70512-7, 2007

Spline functions on triangulations.

Ming-Jun Lai, Larry L. Schumaker

Encyclopedia of mathematics and its applications 110, Cambridge University Press, ISBN: 978-0-521-87592-9, 2007

2006

Smooth macro-elements on Powell-Sabin-12 splits.

Larry L. Schumaker, Tatyana Sorokina

Math. Comput., 2006

2005

A C² Trivariate Macroelement Based on the Worsey-Farin Split of a Tetrahedron.

Peter Alfeld, Larry L. Schumaker

SIAM J. Numer. Anal., 2005

Multi-sided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling.

Vera Rayevskaya, Larry L. Schumaker

Comput. Aided Geom. Des., 2005

A <i>C</i>² trivariate macro-element based on the Clough-Tocher-split of a tetrahedron.

Peter Alfeld, Larry L. Schumaker

Comput. Aided Geom. Des., 2005

2004

Surface Compression Using a Space of C¹ Cubic Splines with a Hierarchical Basis.

Don Hong, Larry L. Schumaker

Computing, 2004

C¹ Quintic Splines on Type-4 Tetrahedral Partitions.

Larry L. Schumaker, Tatyana Sorokina

Adv. Comput. Math., 2004

Preface.

Larry L. Schumaker

Adv. Comput. Math., 2004

Lagrange Interpolation by C¹ Cubic Splines on Triangulated Quadrangulations.

Günther Nürnberger, Larry L. Schumaker, Frank Zeilfelder

Adv. Comput. Math., 2004

On the Approximation Order of Splines on Spherical Triangulations.

Marian Neamtu, Larry L. Schumaker

Adv. Comput. Math., 2004

2003

Macro-elements and stable local bases for splines on Powell-Sabin triangulations.

Ming-Jun Lai, Larry L. Schumaker

Math. Comput., 2003

Approximating weak Chebyshev subspaces by Chebyshev subspaces.

Frank Deutsch, Larry L. Schumaker, Zvi Ziegler

J. Approx. Theory, 2003

2002

Stable Approximation and Interpolation with <i>C</i>¹ Quartic Bivariate Splines.

Oleg Davydov, Larry L. Schumaker

SIAM J. Numer. Anal., 2002

Quadrilateral Macroelements.

Ming-Jun Lai, Larry L. Schumaker

SIAM J. Math. Anal., 2002

Error bounds for minimal energy bivariate polynomial splines.

Manfred von Golitschek, Ming-Jun Lai, Larry L. Schumaker

Numerische Mathematik, 2002

Smooth macro-elements based on Clough-Tocher triangle splits.

Peter Alfeld, Larry L. Schumaker

Numerische Mathematik, 2002

Smooth Macro-Elements Based on Powell-Sabin Triangle Splits.

Peter Alfeld, Larry L. Schumaker

Adv. Comput. Math., 2002

2001

Macro-elements and stable local bases for splines on Clough-Tocher triangulations.

Ming-Jun Lai, Larry L. Schumaker

Numerische Mathematik, 2001

2000

A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere.

Tom Lyche, Larry L. Schumaker

SIAM J. Sci. Comput., 2000

Nonexistence of Star-Supported Spline Bases.

Peter Alfeld, Larry L. Schumaker

SIAM J. Math. Anal., 2000

Locally linearly independent bases for bivariate polynomial spline spaces.

Oleg Davydov, Larry L. Schumaker

Adv. Comput. Math., 2000

1998

On the approximation power of bivariate splines.

Ming-Jun Lai, Larry L. Schumaker

Adv. Comput. Math., 1998

1996

Shape-preserving knot removal.

Larry L. Schumaker, Sonya S. Stanley

Comput. Aided Geom. Des., 1996

Minimal energy surfaces using parametric splines.

Gregory E. Fasshauer, Larry L. Schumaker

Comput. Aided Geom. Des., 1996

Bernstein-Bézier polynomials on spheres and sphere-like surfaces.

Peter Alfeld, Marian Neamtu, Larry L. Schumaker

Comput. Aided Geom. Des., 1996

1995

Control curves and knot insertion for trigonometric splines.

Per Erik Koch, Tom Lyche, Marian Neamtu, Larry L. Schumaker

Adv. Comput. Math., 1995

1993

Triangulations in CAGD.

Larry L. Schumaker

IEEE Computer Graphics and Applications, 1993

Computing optimal triangulations using simulated annealing.

Larry L. Schumaker

Comput. Aided Geom. Des., 1993

1991

Spline Models for Observational Data (Grace Wahba).

Larry L. Schumaker

SIAM Rev., 1991

Least Squares Fitting by Linear Splines on Data Dependent Triangulations.

Ewald Quak, Larry L. Schumaker

Proceedings of the Curves and Surfaces, 1991

Use of Simulated Annealing to Construct Triangular Facet Surfaces.

Günter Baszenski, Larry L. Schumaker

Proceedings of the Curves and Surfaces, 1991

1990

On Generalized Cross Validation for Tensor Smoothing Splines.

Larry L. Schumaker, Florencio I. Utreras

SIAM J. Sci. Comput., 1990

Cubic spline fitting using data dependent triangulations.

Ewald Quak, Larry L. Schumaker

Comput. Aided Geom. Des., 1990

1988

Dual bases for spline spaces on cells.

Larry L. Schumaker

Comput. Aided Geom. Des., 1988

1987

Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree d 4r + 1.

Peter Alfeld, Bruce R. Piper, Larry L. Schumaker

Comput. Aided Geom. Des., 1987

Triangulation Methods.

Larry L. Schumaker

Proceedings of the Topics in Multivariate Approximation, 1987

A Bibliography of multivariate Approximation.

Richard Franke, Larry L. Schumaker

Proceedings of the Topics in Multivariate Approximation, 1987

1986

Efficient evaluation of multivariate polynomials.

Larry L. Schumaker, Wolfgang Volk

Comput. Aided Geom. Des., 1986

Letter to the editor.

Larry L. Schumaker

Comput. Aided Geom. Des., 1986

1985

Algorithms for Degree-Raising of Splines.

Elaine Cohen, Tom Lyche, Larry L. Schumaker

ACM Trans. Graph., 1985

Rates of convergence of control polygons.

Elaine Cohen, Larry L. Schumaker

Comput. Aided Geom. Des., 1985

1974

Procedures for computing Smoothing and Interpolating Natural Splines [E1] (Algorithm 480).

Tom Lyche, Larry L. Schumaker

Commun. ACM, 1974

Computation of g-Splines via a Factorization Method [E2] (Algorithm 485).

Harold D. Eidson, Larry L. Schumaker

Commun. ACM, 1974

1964

Certification of Algorithm 215: Shanks.

Larry L. Schumaker

Commun. ACM, 1964