Donald C. Williams I am currently a Ph.D. candidate in the Computational and Applied Mathematics department at Rice University. Rice is located in lovely Houston, in the great state of Texas.

Education

(Resume in MSWord format): Resume

BSEE, Prairie View A&M University, 1989.

MSEE, Purdue University , 1991.

Research Interest

Computational Seismology

• Inversion
• Tomographic Velocity Analysis
• Finite-Difference Traveltime Computations
• Numerical Solutions of Differential Equations
• Marine Streamer Depth Function Characterization (Constrained Optimization Application)

Constrained Nonlinear Optimization

• Interior-Point Methods
• Newton, Quasi-Newton, and InExact Newton Methods
• Gradient Computation using adjoint state equations
• Automatic Differentation

As a member of The Rice Inversion Project (TRIP) , my present research activities involve the development of efficient numerical software for constrained nonlinear seismic traveltime tomography. This software employs Object-Oriented Programming (OOP) technology (C++) to establish an algorithmic class, Nonlinear Interior-Point SOLver (NIPSOL) , for constrained optimization based on an interior-point methodology. NIPSOL derives directly from the Hilbert Class Libraries (HCL) , a collection of C++ classes that apply object-oriented programming principles to implement mathematical objects such as vectors and linear operators.

Excuse me, while I ponder over some new ideas for advancing the current state of Computational Seismology and Constrained Nonlinear Optimization.

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This page has been accessed times since September 24, 1995.
Last modified Thu Dec 17 14:45:15 CST 1998
donald@caam.rice.edu