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Dr. Jyoti Saraswat
Assistant Professor

Email: saraswj@thomasmore.edu
Phone: 859-344-3363
Office Location: S 217

Jyoti Saraswat first came to Thomas More in 2014. She received her Phd in Applied Mathematics from the University of Maryland Baltimore County(UMBC).  To the question why do math? , she firmly believes in the quote of Galileo: "The great book of nature can be read only by those who know the language in which it was written. And that language is mathematics. Math is the way to understand all sorts of things in the world around us."

Research interests:

  • PDE- constrained optimization
  • Multigrid methods
  • Numerical methods for Partial differential equations
  • Matrix theory and scientific computing

Publications:

  • Andrei Draganescu and Jyoti Saraswat.

Optimal order preconditioners for linear systems arising in the semismooth Newton method solution process of a class of optimal constrained problems

  • Jyoti Saraswat and Andrei Draganescu.

Multigrid solution of a distributed optimal control problem constrained by a semilinear elliptic PDE. 
In preparation.

Research Experience:

Worked on grants supported by DOE and NSF from Fall 2010 - Spring 2013
with Andrei Draganescu at  Department of Mathematics and Statistics, UMBC

Previous Teaching Experience:

Instructor: Department of Mathematics and Statistics, UMBC (2009-2014)
Instructor: Department of Mathematics, University of Kansas (2006-2009)

Presentations:

  • Contributed talk, SIAM CSE&15, Salt Lake City (March 2015)Optimal Order Multigrid Preconditioners for Linear Systems Arising in the Semismooth Newton Method Solution Process of a Class of Control-Constrained Problems.
  • Invited mini-symposium talk, SIAM Annual meeting 2013, San Diego(July 2013) Link to the Talk
  • Contributed talk, DelMar Numerics Day, UMD College Park campus(May 2013)
    Contributed talk, SIAM CSE&13, Boston( February 2013)
  • Contributed talk, Mid Atlantic Numerical Analysis Day, Temple University (November 2012)
    Contributed talk, 12th Copper mountain conference on iterative methods (March 2012): Multigrid solution of a distributed optimal control problem constrained by a semilinear elliptic PDE.
  • Contributed talk, SIAM conference on computational science and engineering (February 2011)
  • Oral presentation, Differential equations seminar (May 2011), UMBC: Multigrid solution of a distributed optimal control problem constrained by a semilinear elliptic PDE
  • Oral presentation, Graduate seminar (December 2010), UMBC: Numerical solution of a distributed optimal control problem constrained by a semilinear elliptic PDE.
  • Oral presentation, Graduate seminar (October 2009), UMBC: A study of Vandermonde-like matrix systems with emphasis on preconditioning and Krylov matrix connection.
    Poster: Mathematical physiology course conference, (December, 2009),
  • UMBC: Effects of KATP mutant channels on pulsatile nature of pancreatic beta cells. 
  • Oral presentation, Numerical analysis seminar (April, 2009), University of Kansas: Vandermonde matrix systems.

Professional Memberships:

American Mathematical Society.
Society for Industrial and Applied Mathematics.
Assocition for Women in Mathematics(AWM).

Leadership:

President, Society for Industrial and Applied Mathematics (SIAM), student chapter Department of Mathematics, UMBC, 2010-2012
Vice President, Mathematics and Statistics Graduate Student Association (MSGSA), Department of Mathematics, UMBC, 2009-2010
Treasurer, Graduate Student Organization(GSO), University of Kansas, Department of Mathematics, KU, 2008-2009
Vice President KU student chapter of AWM,Department of Mathematics, KU, 2008-2009
Treasurer, student chapter of Association for Women in Mathematics, Department of Mathematics, KU, 2007-2008