Profile | Directory | Utah Valley University

Faculty Member

Dr. Harish Bhatt

Email: [email protected]
Office: 121
Phone: 801-863-8845
Curriculum Vitae: Harish Bhatt CV

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

PhD, Middle Tennessee State University, 2016

Major: Computational Science

MA, Tribhuvan University, 2004

Major: Mathematics

Teaching

MATH 1210

Calculus I QL, Fall 2024

MATH 121H

Calculus I QL, Fall 2024

MATH 1055

College Algebra with Preliminaries QL, Fall 2024

MATH 4610

Introduction to Numerical Analysis I, Fall 2024

MATH 1210

Calculus I QL, Summer 2024

MATH 1060

Trigonometry QL, Summer 2024

MATH 1050

College Algebra QL, Spring 2024

MATH 4620

Introduction to Numerical Analysis II, Spring 2024

MATH 1080

Precalculus QL, Spring 2024

Presentations

Bhatt, Harish , JMM 2024, "Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional FitzHugh-Nagumo model", AMS, San Francisco. (January 2, 2024)

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)

Bhatt, Harish , Intermountain MAA Section Meeting, "L-Stable Scheme to Damp Spurious Oscillations", MAA, UVU. (March 24, 2022)

Bhatt, Harish , T3 Talks, "Utilization of Desmos in Teaching and Learning", Math Department, UVU, UVU. (November 8, 2021)

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 , (2023) "Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional FitzHugh-Nagumo model" (vol. 31). Electronic Research Archive. https://www.aimspress.com/article/doi/10.3934/era.2023369

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 , 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 - May 1, 2023

To conduct research during the summer semester

SAC Summer Research Award

UVU - March 27, 2021

Awarded the SAC Summer Research Award to conduct research during Summer.

Provost Writing Fellowship Award

Middle Tennessee State University - May, 2015

Cash Prize Award

MATH 2280

Ordinary Differential Equations, Fall 2020

Bhatt, Harish , Department Colloquium, "Numerical Simulation of Multi-Dimensional Reaction-Diffusion Systems", , Math Department, UVU, UVU. (November 20, 2020)

Bhatt, Harish , Southeastern-Atlantic Regional Conference on Differential Equations, "Array", , Embry-Riddle Aeronautical University. (October, 2019)

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. , Wade, B. A. , (2018) "A Krylov exponential time differencing method in application to 3D advection-diffusion-reaction systems" (vol. 338). Applied Mathematics and Computation. https://www.sciencedirect.com/science/article/abs/pii/S0096300318305137

Liang, X. , Bhatt, Harish , (2018) "Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation" (vol. 476). Advances in Difference Equations. https://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-018-1936-9

Liang, X. , Khaliq, A. Q. M. , Bhatt, Harish , (2017) "The locally extrapolated exponential splitting scheme for multi-dimensionalnonlinear space fractional Schrödinger equations" (vol. 76). Numerical Algorithm. https://link.springer.com/article/10.1007/s11075-017-0291-3

Bhatt, Harish , Khaliq, A. Q. M. , (2016) "A Compact Fourth-order L-stable Scheme for Reaction- Diffusion Systems with Nonsmooth Data" (vol. 299). Journal of Computational and Applied Mathematics. https://www.sciencedirect.com/science/article/pii/S0377042715006068

Bhatt, Harish , Khaliq, A. Q. M. , (2016) "Fourth Order Compact Schemes for the Numerical Simulation of Coupled Burgers’ Equation" (vol. 200). Computer Physics Communication. https://www.sciencedirect.com/science/article/abs/pii/S001046551500418X

Bhatt, Harish , Khaliq, A. Q. M. , (2015) "The Locally Extrapolated Exponential Time Differencing LOD Scheme for Multidimensional Reaction-Diffusion Systems" (vol. 285). Journal of Computational and Applied Mathematics. https://www.sciencedirect.com/science/article/pii/S0377042715000874

Bhatt, Harish , Khaliq, A. Q. M. , (2014) "Higher Order Exponential Time Differencing Scheme for System of Coupled Nonlinear Schrödinger Equations" (vol. 228). Applied Mathematics and Computation. https://www.sciencedirect.com/science/article/abs/pii/S0096300313012587