Here are some talks in reversed chronological order.

RESEARCH TALKS

Numerical Treatment of Differential Constraints in Evolution Systems. A talk at the Applied Mathematics Seminar at Purdue University. March 21, 2008.

Classical and New Problems in Numerical Relativity. A talk at the Applied Mathematics seminar at the Montana State University. February 22, 2007.

Well-Posed Initially Boundary Value Constrained Evolution Problems. A contributed talk on AMS Joint Meetings in New Orleans, January 6, 2007.

Mathematical Challenges of Gravitational Wave Detection. A talk at California State University, Fullerton, March 22, 2006

Trivial Constraint Evolution Formulations and the New Types of Boundary Conditions. A talk at Penn State Sources and Simulations Seminar, February 9, 2006

Constrained Evolution and Differential Boundary Conditions. A talk at the BIRS Workshop on Numerical Relativity, April 20, 2005

Constraint Preserving Boundary Conditions for Linearized BSSN Formulation. A talk at the Penn State Numerical Relativity Lunch on January 22, 2004.

Symmetric Hyperbolic Formulations in Linearized Gravity. A talk at the Mississippi State University, March 17, 2003.

A short Hyperbolic Formulation of Einstein's Equations. A talk at Penn State Numerical Relativity Lunch on April 2, 2002.


EDUCATIONAL TALKS

Gravitational Waves and General Relativity. A talk for high school students in the PUMP Summer 2006 Institute at CSUN, June 22, 2006.

Gravitational Waves Detection: A challenge of 21-st century. A talk for CSUN MATH Club, March 24, 2004. Abstract

PAPERS AND PREPRINTS

Constraint-preserving boundary conditions for the linearized BSSN formulation. Abstract and Applied Analysis, Vol. 2008, Article ID 742040, (2008) http://www.hindawi.com/getarticle.aspx?doi=10.1155/2008/742040


Well-posed initial-boundary value problem for a constrained evolution system and radiation-controlling constraint-preserving boundary conditions. Journal of Hyperbolic Differential Equations. Vol.4 (2007), No.4, pp.587--612. http://www.worldscinet.com/jhde/04/0404/S02198916070404.html http://arXiv.org/abs/gr-qc/0611011

New first-order formulation for the Einstein equations, Physical Review D, vol.68 (2003), 064013. http://arXiv.org/abs/gr-qc/0210071


Numerical algorithms for identification problem in magnetoencephalography, Journal of Inverse and Ill-Posed Problems, vol.7 (1999), No.5, pp.387-408


Uniqueness of the stationary point for the one-dimensional inverse problem in two-dimensional space, Journal of Inverse and Ill-Posed Problems, vol.6 (1998), No.2, pp.95-114

Radiation-controlling boundary conditions for a problem of constrained evolution. Abstract for the International Conference on "Inverse and Ill-posed problems of mathematical physics" dedicated to Professor M.M. Lavrent’ev on occasion of his 75-th birthday, August 21-24, 2007, Novosibirsk, Russia. Click here for the posters


Well-posed initial-boundary value constrained evolution problems. abstract for the AMS Joint Meetings in New Orleans, January 2007. (2007)


Two examples of constraint evolution: 3-1=2 and 6-3=5. research notes, California State University, Northridge (2006)


A new symmetric hyperbolic formulation for the ADM system, abstract for the AMS Joint Meetings in Baltimore, January 2003. (2003)


Hyperbolic formulations for the linearized ADM system. research notes, University of Minnesota (2002)


A new symmetric hyperbolic formulation of ADM system. poster presentation for ``Hot Topics'' workshop on Numerical Relativity at IMA, UMN in June 2002.


Hyperbolic Formulations in Linearized Gravity, abstract for The International Conference in Inverse and Ill-Posed Problems, Novosibirsk, August 5-9, 2002. click here for the posters