Tatyana Sorokina

Assistant Professor
PhD, Vanderbilt, 2004
Office: YR 328
Phone: (410) 704-3308
Fax: (410)-704-4149
Email: tsorokina (at) towson.edu, sorokina(at)math.utah.edu

Office Hours: MTWRF noon-1:00pm

Course Pages

• Sequences
• REU: Introduction to bivariate splines -- problem solving approach

Conferences

• Twelfth International Conference on Approximation Theory. San Antonio, March 4--8, 2007.
• Curves and Surfaces , Avignon, June 29 -- July 5, 2006.
• Eleventh International Conference on Approximation Theory. Gatlinburg, TN, May 18--22, 2004.
• Wavelets and Splines, Athens, GA, May 16--19, 2005.
• SIAM Geometric Design, Phoenix, Oct. 30 -- Nov. 3, 2005.
• Multivariate Approximation , Cancun, April 26 -- May 1, 2007.

Vita

Click here.

Research Interests

• Approximation Theory (Splines)
• CAGD
• Numerical Analysis

Publications

• Approximation order of bivariate kernel-splines, A. Amanov Memorial Conference Proceedings, Kazakh State University Press (1993), 139--141
• C^1 quintic splines on type-4 tetrahedral partitions, (with Larry L. Schumaker), Adv. in Comp. Math. 21 (2004), 421--444.
• A C^1 cross polytope macro-element in four variables, in Approximation Theory XI: Gatlinburg 2004, Charles K. Chui, Marian Neamtu and Larry L. Schumaker (eds.), Nashboro Press, Brentwood, TN, 2004, 405--422
• Optimal quasi-interpolation by quadratic C^1 splines on type-2 triangulations, with F. Zeilfelder, in Approximation Theory XI: Gatlinburg 2004, Charles K. Chui, Marian Neamtu and Larry L. Schumaker (eds.), Nashboro Press, Brentwood, TN, 2004, 423--438
• A trivariate box macro-element, (with Larry L. Schumaker), Constructive Approximation, Volume 21, Number 3, 2005, 413--431
• A family of C^r macro-elements on Powell-Sabin-12 splits, (with Larry L. Schumaker), Math. Comp., Volume 75, 2006, 711--726
• An octahedral C^2 macro-element, with M.-J. Lai and A. Le Mehaute, GAGD, Volume 23, 2006, 640--654
• Local quasi-interpolation by trivariate cubic C^1 splines on type-6 tetrahedral partitions, with F. Zeilfelder, IMA J. Numer. Anal., Volume 27, 2007, 74--101
• A multivariate Powell-Sabin interpolant, with A.J. Worsey, Advances in Comp. Math., to appear
• An explicit quasi-interpolation scheme based on C^1 quartic splines on type-1 triangulations, with F. Zeilfelder, CAGD, to appear
• On the n-dimensional Clough-Tocher interpolant, open for preview

Spline Resources

• Access to the deBoor/Schumaker bibliography of splines.
• Access to Peter Alfeld's bivariate applet.
• Access to Peter Alfeld's trivariate applet.