|Present||Associate Professor, Nova Southeastern University ‐ Halmos College of Natural Sciences and Oceanography, Department of Mathematics|
Professional Service and Affiliations
|2002 - 2017||Member, American Mathematical Society|
- College Algebra
- Advance Calculus II
- Advance Calculus I
- Linear Algebra
- Calculus II
- Calculus I
- Ordinary Differential Equations
- Partial Differential Equations
|2008||Ph.D., Mathematics, University of Pittsburgh|
|2002||M.S., Mathematics, University of Craiova|
|2000||B.S., Mathematics, University of Craiova|
Journal articles written or co-written by Dr. Iuliana Stanculescu
Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation Advances in Numerical Analysis (2012)
We present a general theory for regularization models of the Navier-Stokes equations based on the Leray deconvolution model with a general deconvolution operator designed to fit a few important key properties. We provide examples of ...
Numerical Analysis of Leray-Tikhonov Deconvolution Models of Fluid Motion Computers & Mathematics with Applications (2010)
This report develops and studies a new family of Navier–Stokes equation regularizations: Leray–Tikhonov regularizations with time relaxation models. This new family of turbulence models is based on a modification (consistent with the large scales) of ...
Chebyshev Optimized Approximate Deconvolution Models of Turbulence Applied Mathematics and Computation (2009)
If the Navier–Stokes equations are averaged with a local, spacial convolution type filter,ϕ¯¯¯=gδ∗ϕ, the resulting system is not closed due to the filtered nonlinear termuu¯¯¯¯. An approximate deconvolution operator DD is a bounded linear operator ...
Dual-Mixed Approximation Method for a Three-Field Model of a Nonlinear Generalized Stokes Problem Computer Methods in Applied Mechanics and Engineering (2008)
In this work a dual-mixed approximation of a nonlinear generalized Stokes problem is studied. The problem is analyzed in Sobolev spaces which arise naturally in the problem formulation. Existence and uniqueness results are given and ...
K-41 Optimized Approximate Deconvolution Models International Journal of Computing Science and Mathematics (2007)
If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, φ = gδ ∗ φ , the resulting system is not closed due to the filtered nonlinear term uu. An approximate deconvolution ...
Books and Book Contributions (1)
Book and book contributions written or co-written by Dr. Iuliana Stanculescu
Architecture of Approximate Deconvolution Models of Turbulence Mathematics Faculty Books and Book Chapters (2008)
This report presents the mathematical foundation of approximate deconvolution LES models together with the model phenomenology downstream of the theory. This mathematical foundation now begins to be complete for the incompressible Navier–Stokes equations. It is ...
Conference presentations, proceedings, lectures, and symposia given by Dr. Iuliana Stanculescu