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, Volume 10, p 1768-1784, 2006.
  • Y. Epshteyn and B. Riviere, Fully implicit discontinuous finite element methods for two-phase flow, Applied Numerical Mathematics , Volume 57, p.383-401, 2007.
  • 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.
  • Y. Epshteyn and B. Riviere, Analysis of hp Discontinuous Galerkin Methods for incompressible two-phase flow, Journal of Computational and Applied Mathematics , to appear, 2008.
  • Y. Epshteyn and B. Riviere, Convergence of High Order Methods for Miscible Displacement, International Journal on Numerical Analysis and Modeling , to appear, 2008.
  • Y. Epshteyn, Discontinuous Galerkin Methods for the Chemotaxis and Haptotaxis Models, Journal of Computational and Applied Mathematics , to appear, 2008, 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 , to appear, 2008.
  • Y. Epshteyn and A. Kurganov, New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model, submitted and revised, 2008.
  • 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, submitted, 2008.
  • 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.
    • 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.
    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.