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Harish Bhatt

Faculty Member

Dr. Harish Bhatt

Biography

Dr. Bhatt received his Ph.D. in Computational Science with a specialization in Applied and Computational Mathematics from Middle Tennessee State University in 2016. His research areas include Applied and Computational Mathematics, with specific interest in development, analysis, and implementation of the efficient and accurate higher-order time stepping schemes for a wide class of systems of nonlinear time-dependent partial differential equations. Before joining the Department of Mathematics at Utah Valley University, he worked for two years as an Assistant Professor of Mathematics and one year as a Mathematics Learning Specialist at Savannah State University. He also served as a faculty member of Mathematics at Texas A&M University-Corpus Christi, USA and Kathmandu University, Nepal for one year and seven years respectively. Dr. Bhatt had given several talks at conferences as an invited and a contributed speaker and published several research articles in highly ranked refereed journals.

Education

Ph D, Middle Tennessee State University, 2016

Major: Computational Science

MA, Tribhuvan University, 2004

Major: Mathematics

Teaching

MATH 1210

Calculus I QL, Fall 2023

MATH 121H

Calculus I QL, Fall 2023

MATH 4610

Introduction to Numerical Analysis I, Fall 2023

MATH 1080

Precalculus QL, Fall 2023

MATH 1050

College Algebra QL, Summer 2023

MATH 1060

Trigonometry QL, Summer 2023

MATH 1210

Calculus I QL, Spring 2023

MATH 1055

College Algebra with Preliminaries QL, Spring 2023

MATH 4620

Introduction to Numerical Analysis II, Spring 2023

Presentations

Bhatt, Harish , 2ND SIAM NORTHERN STATES SECTION CONFERENCE, "A strongly stable Fourier spectral exponential time differencing method for multidimensional Allen-Cahn equations", SIAM, USU. (April 15, 2023)
Bhatt, Harish , American Mathematical Society Fall Western Sectional Meeting, "Numerical Simulation of High-Dimensional Two-Component Space-Fractional Reaction-Diffusion System", UofU. (October 22, 2022)
Jorgensen, Ava (Presenter & Author), Bhatt, Harish (Author Only), UVU Showcase, "Estimation of Immigration Mystery Parameter-An Inverse Problem", UVU. (April 5, 2022)
Bhatt, Harish , Intermountain MAA Section Meeting, "L-Stable Scheme to Damp Spurious Oscillations", MAA, UVU. (March 24, 2022)
Bhatt, Harish , AMS Spring Southeastern, "Fast and Stable Higher-Order Method in Application to Multi- Dimensional Space Fractional Reaction-Diffusion Equations", AMS, Georgia. (March, 2021)

Scholarly/Creative Works

Bhatt, Harish , (2022) "Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives" (vol. 100). International Journal of Computer Mathematics. https://www.tandfonline.com/doi/abs/10.1080/00207160.2022.2079081
Bhatt, Harish , Joshi, Janak , Argyros, I. , (2021) "Fourier spectral high-order time-stepping method for numerical simulation of the multi-dimensional Allen-Cahn equations" (vol. 13). Symmetry. https://www.mdpi.com/2073-8994/13/2/245
Mustafa, A. , Bhatt, Harish , (2020) "Fast high-order method for multidimensional space-fractional reaction–diffusion equations with general boundary conditions" (vol. 182). Mathematics and Computers in Simulation. https://www.sciencedirect.com/science/article/abs/pii/S0378475420303943
Bhatt, Harish , Chowdhury, A. , (2020) "A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation" (vol. 98). International Journal of Computer Mathematics. https://www.tandfonline.com/doi/abs/10.1080/00207160.2020.1814262
Bhatt, Harish , Chowdhury, A. , (2019) "Comparative analysis of numerical methods for the multidimensional Brusselator system" . Open Journal of Mathematical Sciences. http://scienceopenlibrary.org/id/eprint/418/
Bhatt, Harish , Khaliq, A. Q. M. , (2019) "Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions" (vol. 83). Numerical Algorithm. https://link.springer.com/article/10.1007/s11075-019-00729-3

Awards

SAC Summer Research Award

UVU - March 27, 2021

Awarded with Summer Research Award to conduct research during Summer.

NSF Travel Grant

National Science Foundation - September, 2019

To deliver talk and participate in the 38th Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)

American Mathematical Society Travel Award

AMS - August, 2018

To attend International Congress of Mathematicians

Provost Writing Fellowship Award

Middle Tennessee State University - May, 2015

Cash Prize Award

Middle Tennessee State University - April, 2015

For securing second position in both the graduate level scholar week University wide posters and Ph.D. level poster competition.