Dr. Naresh M. Chadha


Professor in Mathematics

 

Qualification: Ph.D. Mathematics, Department of Mathematics and Statistics, University of Limerick, Ireland.

M.Sc. (Applied Mathematics), Department of Mathematics, IIT Roorkee, Roorkee

Teaching Experience 21 years (Teaching in India and in Ireland)
Research Experience 15 years (Including 3.6 Years Post-doc Fellow, National University of Ireland Galway, Ireland.)
Honours/Awards ·         Was offered full funding to pursue Ph.D. in University of Limerick, Ireland. The project was funded by Science Foundation of Ireland (SFI).

·         Was offered Post-doctoral Research Fellowship by National University of Ireland, Galway, Ireland. The project was fully funded by SFI.

·         Recipient of the Royal Irish Academy Postdoctoral Mobility Grant 2010-Ireland to visit RICAM, Austria.

·         Qualified the National Eligibility Test (NET) for teaching and fellowship for research, conducted by Council of Scientific & Industrial Research (CSIR) – Dec 95 and Dec 01.

·         Qualified the Graduate Aptitude Test in Engineering (GATE) – Mar 95 (all India 26th rank), Mar 96 (all India 28th rank) and Mar 02 (all India 25th rank).

Research Interests Adaptive mesh methods for singularly perturbed differential equations; Mesh generation (unstructured, in particular); Meshfree collocation methods based on radial basis functions; a posteriori error estimation; and Mathematical modeling of real world problems.
Teaching Interests Numerical Analysis; Scientific Computing; Engineering Mathematics; Numerical Linear Algebra; MATLAB
Subject taught in last Five Years Engineering Mathematics I, II; Numerical Methods (B.Sc) and Numerical Analysis (MSc); Practical introduction to MATLAB; Scientific Computing with MATLAB; Numerical Solution of Differential Equations; Ordinary Differential Equations; Applied Mathematics
Publications (Best 5) Representative Publications

1.       N. M. Chadha & N. Kopteva, A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem, IMA J. Numer. Anal., 2011 31: 188-211. (Impact Factor 1.698)

2.      N. M. Chadha & N. Kopteva, Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem, Adv. Comput. Math., (2010); doi: 10.1007/s10444-010-9163-2 (published online 1 June 2010). (Impact Factor 1.487)

3.      N. M. Chadha & N. Madden, A two-weight scheme for a time-dependent advection-diffusion problem, in Lecture Notes in Computer Science (LNCS), Springer Publications, 2011.

4.      Naresh M. Chadha, Niall Madden, An optimal time-stepping algorithm for unsteady advection-diffusion problems, Journal of Computational and Applied Mathematics, Volume 294, 1 March 2016, Pages 57-77 (Impact Factor 1.266)

Presentations in International Conferences

5.      A robust r-adaptive method for a 1D reaction-diffusion problem. (with N. Kopteva). 6th Annual workshop on Numerical Methods for Problems with Layer Phenomenon, University of Limerick, Ireland, Feb-07.

6.      A robust r-adaptive method for a singularly perturbed 1D reaction diffusion problem. (with N. Kopteva) 22nd Biennial Conference on Numerical Analysis, University of Dundee, Dundee, Scotland, June-07.

7.      Maximum norm a posteriori error estimate for a 3D singularly perturbed semilinear reaction diffusion problem. (with N. Kopteva) International Conference BAIL 2008 Boundary and Interior Layers – Computational & Asymptotic Methods, University of Limerick, Ireland, July 28 – August 1, 2008.

8.      Analysis of Adaptive Mesh Construction Applied to Singularly Perturbed Differential Equations: An Overview. School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland, Galway, Ireland, Jan-09.

9.      Numerical solution of a time dependent advection-diffusion problem. (with N. Madden) 23rd Biennial Conference on Numerical Analysis, Strathclyde University, UK, June 2009.

10.  Adaptive mesh construction for a class of singularly perturbed differential equations. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, April-2010.

11.  An optimal time-stepping for a time-dependent convection-diffusion problem. (with N. Madden) International Conference BAIL 2010 Boundary and Interior Layers – Computational & Asymptotic Methods, Zaragoza, Spain, July 2010.

12.  Computational study to design a novel algorithm for solving advection-dominated time-dependent advection diffusion problem. International Conference on “Mathematical Modelling, Differential Equations, Scientific Computation and Applications”, IIT Kanpur, Kanpur from March, 27- 29th 2016. (Invited talk)

13.  Invited to chair a session in an International Conference on the occasion of Silver Jubilee of ISIAM, Sharda University, Greater Noida, Jan, 29-31st 2016.

14.  Invited talk and Session Chair in International Conference on current trends in Theoretical and Computational Differential Equations with Applications, South Asian University, New Delhi, Dec 01-05, 2017.