Gerard Awanou Publications

Energy Methods in 3D Spline Approximations of Navier-Stokes equations . Ph. D. Dissertation, University of Georgia, Athens, Ga, Spring 2003.

Mixed Finite Elements for Elasticity

Multivariate Spline Method for Numerical Solution of Partial Differential Equations

Trivariate Spline Approximations of the 3D Navier-Stokes Equations , with M.J. Lai. Mathematics of Computation 74, 585-601, 2005.
On Convergence Rate of the Augmented Lagrangian Algorithm for Nonsymmetric Saddle Point Problems , with M.J. Lai. Appl. Numer. Math. 54, no. 2, 122-134, 2005.
The Multivariate Spline Method for Scattered Data Fitting and Numerical Solution of Partial Differential Equations, with M.J. Lai and P. Wenston in Wavelets and Splines: Athens 2005, edited by G. Chen and M. J. Lai, Nashboro Press, 24-74, 2006.
Robustness of a Spline Element Method with Constraints. Journal of Scientific Computing, Vol. 36, Issue 3, pp. 421--432, 2008.
Trivariate Spline Approximation of Divergence-Free Vector Fields, with M.J. Lai. Preprint 2004.
Spline Element Method for Monge-Ampere Equations. Preprint, 2009.

Mathematical Finance

Shortfall Risk Minimization under Regime Switching: Discrete Model , Decisions in Economics and Finance, Volume 30, Number 1, pp 71--78, May 2007.
Multiscale Asymptotics of Partial Hedging . Preprint, 2004.

Super-Replication of Contingent Claims on Stocks with Regime Switching Fluctuations . Preprint, 2004.

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