Journal Publications

  • A. Dunca and Y.Epshteyn, On the Stolz-Adams deconvolution Model for the large-eddy simulation of turbulent flows, SIAM Journal on Mathematical Analysis , Volume 37, Issue 6, p 1890-1902, 2006, online.
  • Y. Epshteyn and B. Riviere, On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method, Communications in Numerical Methods in Engineering , Volume 22, Issue 7, pp.741-751, 2006, online .
  • Y. Epshteyn, V.S. Ryaben'kii and V. Turchaninov, Scheme of algorithms composition based on difference potential method, Computational Mathematics and Mathematical Physics (Translation from the original version published in Russian (published in "Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki") and the order of the author's names in the paper is different since the Russian version of my last name starts with the letter which is almost the last letter of the alphabet) , Volume 10, p 1768-1784, 2006, pdf .
  • Y. Epshteyn and B. Riviere, Fully implicit discontinuous finite element methods for two-phase flow, Applied Numerical Mathematics , Volume 57, p.383-401, 2007, online
  • Y. Epshteyn and B. Riviere, Estimation of penalty parameters for symmetric interior penalty Galerkin methods, Journal of Computational and Applied Mathematics , Volume 206, p.843-872, 2007, pdf.
  • Y. Epshteyn and B. Riviere, Analysis of hp Discontinuous Galerkin Methods for incompressible two-phase flow, Journal of Computational and Applied Mathematics , 225, no.2,487-509 2009, online
  • Y. Epshteyn and B. Riviere, Convergence of High Order Methods for Miscible Displacement, International Journal on Numerical Analysis and Modeling , Volume 5,Supp, p.47-63, 2008.
  • Y. Epshteyn, Discontinuous Galerkin Methods for the Chemotaxis and Haptotaxis Models, Journal of Computational and Applied Mathematics , 224, no. 1, 168-181 2009, gzip.
  • Y. Epshteyn, T.Khan and B. Riviere, Numerical Solution of A One-Dimensional Inverse Problem by The Discontinuous Galerkin method, Mathematics and Computers in Simulation , DOI:10.1016/j.matcom.2008.08.002, 2008.
  • Y. Epshteyn and A. Kurganov, New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model, SIAM Journal on Numerical Analysis , Volume 47, p.386-408, 2008, online
  • B. Riviere, Y.Epshteyn, D.Swigon, Y.Vodovotz, A Simple Mathematical Model of Signaling Resulting from the Binding of Lipopolysaccharide with Toll-like Receptor 4 Demonstrates Inherent Preconditioning Behavior, Mathematical Biosciences , doi:10.1016/j.mbs.2008.10.002, 2008, online.
  • K.Barmak, E.Eggeling, M.Emelianenko, Y.Epshteyn, D.Kinderlehrer and S. Ta'asan, Geometric growth and character development in large metastable networks, Rendiconti di Matematica , Serie VII,Volume 29, Roma 2009, 65-81, online
  • Y. Epshteyn and A. Izmirlioglu, Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model, Journal of Scientific Computing , Volume 40,Issue 1-3, 211-256, 2009, online , also 08-CNA-026 CNA report.
  • S. Bryson, Y. Epshteyn, A. Kurganov and G. Petrova, Well-Balanced Positivity Preserving Central-Upwind Scheme on Triangular Grids for the Saint-Venant System, to appear, Mathematical Modelling and Numerical Analysis (M2AN) 2010 pdf, also CNA report 2008 , CNA report.
Refereed Conference Proceedings

  • Y. Epshteyn, B. Riviere, D.Swigon, Y.Vodovotz, A Simple Mathematical Model of Lipopolysaccharide Signaling Through Toll-Like Receptor 4 Results in Complex Insights on Preconditioning, Journal of Critical Care, Volume 22, Issue 4, 2007, proceedings of " 6th International Conference on Complexity in Acute Illness", October 4-7 2007.
  • K.Barmak, E.Eggeling, M.Emelianenko, Y.Epshteyn, D.Kinderlehrer, R.Sharp and S. Ta'asan, Predictive theory for the grain boundary character distribution, proceedings of " International Conference on Recrystallization and Grain Growth (REX GG 2010)",to appear 2010 pdf
Non-Refereed Conference Proceedings

  • Y. Epshteyn and B. Riviere, Fully Implicit Discontinuous Galerkin Scheme for Two-Phase Flow, in the proceedings of MSRI Conference "The Legacy of Ladyzhenskaya and Oleinik" May 17-21 2006 , online.
Reports

  • Y. Epshteyn and B. Riviere, High Order Fully Discrete Discontinuous Galerkin Methods for Miscible Displacement, CNA report 2007 , online.
  • Y. Epshteyn and A.Kurganov, New Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model, CNA report 2007 , online.
  • S. Bryson, Y. Epshteyn, A. Kurganov and G. Petrova, Well-Balanced Positivity Preserving Central-Upwind Scheme on Triangular Grids for the Saint-Venant System, CNA report 2008 , online.
  • K.Barmak, E.Eggeling, M.Emelianenko, Y.Epshteyn, D.Kinderlehrer and S. Ta'asan, Geometric growth and character development in large metastable networks, CNA report 08-CNA-025 2008 , online .