I am a Postdoctoral Research Associate at University of Maryland, College Park, Maryland.
Scientific Computing and Numerical Analysis.
My research interests lie in the area of Scientific Computing and Numerical Analysis, in particular, developing numerical methods for Hamilton-Jacobi type equations and action minimization problems.
Currently, I am working with Dr. Maria Cameron on developing numerical methods for computing the quasi-potential on meshes in 2D for Stochastic Differential Equations with small white noise.
|D. Dahiya, and M. Cameron, Ordered Line Integral Methods for Computing the Quasi-potential. J. Sci. Comput., Nov. 2017.
|D. Dahiya, and S. Baskar, Characteristic Fast Marching Method on Triangular Grids for the Generalized Eikonal Equation in Moving Media. Wave Motion, 59: 81-93, 2015.
|D. Dahiya, S. Baskar, and F. Coulouvrat, Characteristic Fast Marching Method for Monotonically Propagating Fronts in a Moving Medium. SIAM J. Sci. Comput., 35: A1880-A1902, 2013.
|D. Dahiya, and S. Baskar, A Fast Method for an Anisotropic Eikonal Equation with Application to Sonic Boom Propagation in Atmosphere. Acoustics 2013: Indo-French Conference on Acoustics, November 2013, New Delhi.|
|Ordered Line Integral Methods for Computing the Quasi-potential. RIT on Applied PDE, October 9, 2017, Department of Mathematics, University of Maryland, College Park, USA.|
|Characteristic fast marching method for approximating the viscosity solution of generalized eikonal equation. PDE-Applied Math Seminar, September 15, 2016, Department of Mathematics, University of Maryland, College Park, USA.|
|A numerical method for approximating the viscosity solution of generalized eikonal equation. Annual In-house symposium TIFR-CAM 2015, August 4-5, 2015, Bangalore, India.|
|A Numerical Method for Modelling Wavefront Propagation and Reflection from Rigid Boundary. INFORMS Annual Meeting, November 9-12, 2014, San Francisco, USA.|
|Characteristic Fast Marching Method on Triangular Mesh for a Generalized Eikonal Equation. 2nd International Conference on Mathematical Sciences and Applications, December 16, 2012 New Delhi.|
University of Maryland, USA
FALL 2017: AMSC/CMSC 460 - Computational Methods.
SPRING 2017: AMSC/CMSC 460 - Computational Methods.
FALL 2016: MATH 241H - Calculus III.
Indian Institute of Technology Bombay, India
FALL 2010 : MA205 - Complex Analysis.
FALL 2010 : MA207 - Differential Equations-II.
SPRING 2010 : MA 214 - Numerical Analysis.
FALL 2009 : MA 205 - Complex Analysis.
FALL 2009 : MA 207 - Differential Equations II.
SPRING 2009 : MA 214 - Numerical Analysis.
FALL 2008 : MA 105 - Calculus.
SPRING 2008 : MA 106 - Linear Algebra.
SPRING 2008 : MA 108 - Differential Equations I.
FALL 2007 : MA 203 - Ordinary Differential Equations.