Alexander Labovsky Homepage

Department of Mathematical Sciences
Alexander Labovsky
303 Fisher Hall

e-mail: aelabovs@mtu.edu

Curriculum Vitae

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Publications/Preprints

1. A. Labovsky, A Defect Correction Method for the Time-Dependent Navier-Stokes Equations, Numerical Methods for Partial Differential Equations, vol.25(1), pp.1-25, 2008.

2. A. Labovsky, A Defect Correction Method for the Evolutionary Convection Diffusion Problem with Increased Time Accuracy, Computational Methods in Applied Mathematics, vol.9(2), pp.154-164, 2009.

3. N. Heitmann, A. Labovsky, Numerical Analysis of a Method for High Peclet Number Transport in Porous Media, Journal of Mathematical Analysis and Applications, vol.351(2), pp.721-733, 2009.

4. A. Labovsky, W. Layton, C. Manica, M. Neda, L. Rebholz, The Stabilized, Extrapolated Trapezoidal Finite Element Method for the Navier-Stokes Equations, Computer Methods in Applied Mechanics and Engineering, vol.198(9-12), pp.958-974, 2009.

5. A. Labovsky, Y. Charles Li, A Markov Chain Approximation of a Segment Description of Chaos, Dynamics of Partial Differential Equations, vol.7, pp.65-76, 2010.

6. M. Gunzburger, A. Labovsky, Effects of Approximate Deconvolution Models on the Solution of the Stochastic Navier-Stokes Equations, Journal of Computational Mathematics, vol.29, pp.131-140, 2011. pdf

7. A. Labovsky, C. Trenchea, Large Eddy Simulations for the MHD Flows, Journal of Mathematical Analysis and Applications, 377 (2011), pp.516-533. pdf

8. A. Labovsky, C. Trenchea, A family of Approximate Deconvolution Models for MagnetoHydroDynamic Turbulence, Numerical Functional Analysis and Optimization, vol. 31(12), pp. 1362-1385, 2010.pdf

9. J. Connors, A. Labovsky, Semi-Implicit Spectral Deferred Correction Methods for a Parabolic Two-Domain Problem, submitted to Applied Numerical Mathematics, undergoes the final revision. pdf

10. M. Gunzburger, A. Labovsky, High Accuracy Method for Turbulent Flow Problems, to appear in Mathematical Models and Methods in Applied Sciences. pdf

11. M. Case, A. Labovsky, L. Rebholz, N. Wilson, A high physical accuracy method for incompressible magnetohydrodynamics, International Journal of Numerical Analysis and Modeling, Series B. In Press, 2010. pdf

12. M. Gunzburger, A. Labovsky, An efficient and accurate numerical method for high-dimensional stochastic PDEs, submitted to SIAM Journal of Scientific Computing. pdf

Conference Proceedings

13. A. Labovsky, W. Layton, C. Manica, M. Neda, L. Rebholz, I. Stanculescu, C. Trenchea, Architecture of Approximate Deconvolution Models of Turbulence, invited presentation at Quality and Reliability of Large-Eddy Simulations 2007. (published by Springer as part of the ERCOFTAC Series, with book title "Quality and Reliability of Large-Eddy Simulations.", vol.12, Part I, pp.3-20, 2008)

Work in Preparation

14. M. Gunzburger, A. Labovsky, Dimension-sensitive Sparse Grid Collocation Method for Stochastic Partial Differential Equations.

15. A. Labovsky, W. Layton, C. Trenchea, Identification of Averaging Radii for the LES in MHD Flows.

16. A. Labovsky, C. Trenchea, LES models for compressible Navier-Stokes equations.

17. A. Labovsky, Y.Li, Homotopic Deformation of Chaos for a complex Ginzburg-Landau Equation.

Conference Talks and Seminars

1. "Turbulence Modeling for Stochastic Navier-Stokes Equations", SIAM-2010, Pittsburgh, July 2010.
2. "Effects of Approximate Deconvolution Models on the Solution of the Stochastic Navier-Stokes Equations", Conference on Uncertainty Quantification, Edinburgh, Scotland, May 2010.
3. "Turbulence Modeling; Approximate Deconvolution Models." invited talk, Clemson University, April 2010.
4. "Turbulence Modeling in Magnetohydrodynamics and in Stochastic NSE", Graduate Student Seminar, Florida State University, March 2010.
5. "A Deferred Correction Method for a Decoupled Fluid-Fluid Interaction", Computational Mathematics Seminar, Florida State University, February 2010.
6. "A Markov Chain Approximation of a Segment Description of Chaos", Computational Mathematics Seminar, Florida State University, February 2010.
7. "High accuracy partitioned timestepping methods for a two domain problem", AMS sectional meeting, Florida Atlantic University, October 2009.
8. "Modeling of Stochastic Turbulent Navier-Stokes Equations", Computational Mathematics Seminar, Florida State University, October 2009.
9. "High accuracy Methods for PDEs. Turbulent models for Magnetohydrodynamics", Computational Mathematics Seminar, Florida State University, October 2009.
10. "High accuracy numerical methods for fluid flow problems and turbulence modeling", invited talk at the Duke University, April 2009.
11. "Semi-implicit spectral deferred correction methods for a parabolic two domain problem", AMS sectional meeting, NC State University, April 2009.
12. "Approximate Deconvolution Models for MagnetoHydroDynamic Turbulence", AMS sectional meeting, NC State University, April 2009.
13. "Finite element methods. FreeFEM - environment for high-level programming", Numerical Analysis Seminar, University of Missouri-Columbia, April 2009.
14. "High accuracy methods for a parabolic two domain problem. Semi-implicit spectral deferred correction methods", Numerical Analysis Seminar, University of Missouri-Columbia, February 2009.
15. "Mathematical Architecture for Models of Fluid Flow Phenomena", Iowa State University, February 2009.
16. "High Accuracy Numerical Methods for PDEs. Turbulence Models in MagnetoHydroDynamics", Differential Equations Seminar, University of Missouri-Columbia, September 2008.
17. "Mathematical Architecture for Models of Fluid Flow Phenomena", University of New Hampshire, February 2008.
18. "LES model of MHD equations. Conservation Laws", Computational Mathematics Seminar, University of Pittsburgh, March 2007.
19. "Defect correction method for the time-dependent Navier-Stokes equations", talk at the Finite Element Circus, Penn State University, Fall 2006.
20. "A Defect Correction Method for Evolutionary PDEs", Computational Mathematics Seminar, University of Pittsburgh, Spring 2006.

Awards

1. Diploma cum laude from The Moscow State University, 2002.
2. Culver-Teplitz prize in recognition of outstanding teaching and research performance, University of Pittsburgh, 2007.

Department of Mathematical Sciences Alexander Labovsky 303 Fisher Hall