Yuliya Babenko's webpage

Dr. Yuliya Babenko

Assistant Professor

Spring 2013 office hours:

MWF 8:45 am - 9:15 am

MW 2-3:30 p

and, of course, by appointment

Education

2006: PhD, Mathematics, Vanderbilt University

2003: MA, Mathematics, Vanderbilt University

2001: MS, Mathematics, Dnepropetrovsk National University, Ukraine

2000: BS, Mathematics, Dnepropetrovsk National University, Ukraine

1999-2000: Non-degree, Computer Science (ACTR/ACCELS grant) University of Georgia

My Research Genealogy

My Curriculum Vitae

Teaching Spring 2013:

Calculus 2

Differential Equations

Research Interests:

Numerical Analysis, Approximation Theory, Spline Theory, Computer Aided Geometric Design, Theory of Functional and Polynomial Inequalities (Kolmogorov type, Landau type, Markov type etc.) and Applications (in particular, to Inverse Problems), Optimization of Quadrature Formulas, Radial Basis Functions, Computational and Discrete Geometry

                        My Recent Papers:

                        Y. Babenko, V. Babenko, N. Parfinovych, D. Skorokhodov; Exact asymptotics of the optimal $L_{p}$-error of asymmetric linear spline approximation, submitted.

                        Y. Babenko, D. Skorokhodov, Stechkin's problem for differential operators and functionals of order one and two, Journal of Approximation Theory, 167 (2013) pp. 173-200. file

                        Y. Babenko, T. Leskevich, On the $L_p$-error of approximation of bivariate functions by harmonic splines, to appear in Applicable Analysis. file

                        Y. Babenko, S. Borodachov, Inequalities for the norms of finite difference operators of multiply monotone sequences, Mathematical Inequalities and Applications, V. 15, N. 2 (2012), pp. 247–269. file

                        Y. Babenko, D. Skorokhodov, Kolmogorov and Stechkin problems for functions with second derivatives from Orlich spaces, Mathematical Notes, (2012) Vol. 91, No. 2, pp. 161-171. file

                        Y. Babenko, J.-M. Mirebeau, T. Leskevich, Sharp asymptotics of the L p approximation error for interpolation on block partitions, Numerische Mathematik, Volume 117, Issue 3 (2011), pp. 397-423. file

                        Y. Babenko, V. Babenko, N. Parfinovych, D. Skorokhodov, On one extremal property of a regular simplex, Communications in Analysis and Geometry, (2010) V. 17, N. 4, pp. 1-15. file

                        Y. Babenko, Exact asymptotics of the uniform error of interpolation by multilinear spline, Journal of Approximation Theory, 162 (2010), pp. 1007-1024. file

My Current Collaborators:

Vladislav Babenko

Sergiy Borodachov

Oleg Kovalenko

Tetiana Leskevych

Jean-Marie Mirebeau

Nataliia Parfinovych

NEWS:

Analysis and Applied Mathematics seminar:

AAM seminar Spring 2013

Analysis and Applied Mathematics Seminar (Spring 2012)

AAM seminar schedule (Fall 2011)

Analysis and Applied Mathematics Seminar (Fall 2010)

Analysis and Applied Math seminar (Spring 2011)

            Kennesaw Women in Mathematics (KWIM)
                        find us on Facebook and check out our website

        Infinite Horizons Lecture Series

                        2/6/2013: Sommer Gentry, Naval Academy: Faster, Safer, Healthier: Adventures in Operations Research
                        10/29/2012: Laura Taalman, James Madison University: Taking Sudoku Seriously
                        9/27/2012: Victoria Powers, Emory University: Proportional (Mis)representation: The mathematics of apportionment
                        4/12/2012: Carolyn Yackel, Mercer University: Spherical Symmetries Depicted in Temari. flyer
                        2/09/2012: Jennifer Quinn, University of Washington Tacoma: Digraphs and Determinants. flyer
                    9/26/2011: Rebecca Garcia, Sam Houston State University: Benjamin Franklin's Magic. flyer



            Kennesaw Mountain Undergraduate Mathematics Conference
                                Past conferences: November 11-12, 2011. conference page
                                                               October 19-20, 2012. conference page

Research Related Links:

freeFEM++ (mesh generation software)

SAGE (open source mathematics software)

arXiv

MathSciNet

MathNet.ru

Conferences of interest to me:

Approximation Theory links:

Alan Pinkus's site on history of Approximation Theory

Schumaker/de Boor Spline Bibliography

Surveys in Approximation Theory

AT-NET