Project 01

Numerical Analysis I

The course covers the following topics: floating point arithmetic, solving nonlinear equations in one variable, solving systems of linear equations, solving nonlinear systems, interpolation and polynomial approximation, curve-fitting; cubic and Bezier splines, least squares problems.

  • Schedule: TR 3:00 - 4:15 pm, Innovation Hall 132
  • Office Hours: TR 4:20-4:50 pm, Exploratory Hall 4114
  • Spring 2017

Project 05

The Department of Mathematical Sciences

Department of Mathematical Sciences
4400 University Drive, MS: 3F2
Exploratory Hall, room 4400
Fairfax, Virginia 22030
Phone Number: 703-993-1460
Fax Number: 703-993-1491

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Project 04

The Computational Materials Science Center (CMaSC)

Researchers in the Computational Materials Science Center focus on the discovery, interpretation, simulation, and organization of the microscopic interactions between atoms and molecules in condensed phases of materials including biomaterials. The ability to predict materials properties is a fundamental requirement of technological advances and economic competitiveness.

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Project 03

Linear and Nonlinear Optimization

This book introduces the applications, theory, and algorithms of linear and nonlinear optimization, with an emphasis on the practical aspects of the material. Its unique modular structure provides flexibility to accommodate the varying needs of instructors, students, and practitioners with different levels of sophistication in these topics. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support vector machines.

  • Coursebook for Graduate Students
  • Publisher: SIAM
  • Year: 2008

About

My research involves developing primal-dual algorithms for nonlinear constrained optimization, their mathematical analysis, efficient implementation and application to problems in science and engineering. Optimization based computational analysis also includes investigation of light enhancement and propagation in nanostructures and estimation of electron transfer rates in proteins and molecular wires.

About
  • Location: Northern Virginia
  • Phone: 703 993 4511
  • Email: igriva-at-gmu.edu
  • Address: Dept. of Mathematical Sciences, MS 3F2, Exploratory Hall 4114, GMU, 4400 University Drive, Fairfax, VA 22030, USA
  • Résumé: CV