Dambaru Bhatta
Professor
Office:
Phone: (956) 6653534
Email: dambaru.bhatta@utrgv.edu
Website: http://faculty.utrgv.edu/dambaru.bhatta/
Dr. Dambaru Bhatta
Dr. Bhatta works on computational and applied mathematics related problems. His research areas include fluid flow, heat and mass transfer, porous media, wave structure interaction.
Areas of Expertise
 Applied Mathematics
 Computational Mathematics
 Hear and Mass Transfer
 WaveStructure Interaction
 Numerical Solutions of Differential and Integral Equations
Education
 PhD, Applied Mathematics, Dalhousie University, 1995
 MS, Mathematics, University of Delhi, 1983
 BS, Mathematics, University of Gauhati, 1980
Currently Teaching
 MATH 4390 03  Math Project:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3341 01  Diff Equations:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3341 07  Diff Equations:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3345 02I  Linear Optimization:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3345 01I  Linear Optimization:
 Syllabus
 Course Evaluations
 Textbooks
Selected Publications
 M Jani, Shahnam Javadi , Esmail Babolian, and Dambaru Bhatta. "Bernstein dualPetrovGalerkin method: application to 2D time fractional diffusion equation," Computational and Applied Mathematics 37, no. 2 (May 2018): 23352353.
 Joseph Diaz, Dambaru Bhatta, "Stability analysis and simulation resuts of an SIR mathematical model for the dengue fever," International Journal of Applied Mathematics and Statistics 57, no. 2 (March 2018): 142157.
 Dambaru Bhatta and Daniel Riahi. "Convective Fow in an Aquifer Layer," Fluids 52, no. 2 (October (4th Quarter/Autumn) 2017): 119.
 Dambaru Bhatta and Daniel Riahi. "Weakly nonlinear threedimensional convective flow during solidification of binary alloys," Nova Scientific Publications, no. Chapter 5 October (4th Quarter/Autumn) 2017: 199226.
 M Jani, Esmail Babolian, Shahnam Javadi, and Dambaru Bhatta. "Banded operational matrices for Bernstein polynomials and application to the fractional advectiondispersion equation," Numerical Algorithms 75, no. 4 (August 2017): 10411063.
 M. Jani, D Bhatta, and S. Javadi. "Numerical solution of fractional integrodifferential equations with nonlocal conditions," Applications and Applied Mathematics 12, no. 1 (June 2017): 98111.
 Maria Munguia and Dambaru Bhatta. "Use of Cubic BSpline in Approximating Solutions of Boundary Value Problems.," Applications & Applied Mathematics 10, no. 2 (December 2015): 750771.
 Dambaru Bhatta and Daniel Riahi. "Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a Mushy Layer," Mathematics and Computing. Springer, 2015: 399–410.
 Dambaru Bhatta and Daniel Riahi. "On nonlinear three dimensional convective flow in a mushy layer," International Journal of Evolution Equations 9, no. 3 (2015): 118.
 Daniel Montez and Dambaru Bhatta. "Flow in a closed rectangular cavity with a moving lid and a dent at the bottom," International Journal of Mathematics & Computation™ 26, no. 1 (October (4th Quarter/Autumn) 2015): 1–13.
Selected Grants and Fellowships
 Tim Huber. Pathways to Graduate School and Profesional Careers in the Mathematical Sciences, NSFSSTEM, $636,071.00 (June 2015  May 2020)
 Dambaru Bhatta. Workshops on Active Learning Strategies in Calculus and on Rigorous Numerics in Dynamics, $2,000.00 (January 2016  January 2016)
 Dambaru Bhatta. Undergraduate Research Initiative (URI), $2,000.00 (2012  2013)
 Dambaru Bhatta. Faculty Development Council (FDC), $1,500.00 (January 2013)
 Dambaru Bhatta. Faculty Development Council (FDC), Mathematical Association of America (MAA), $1,896.00 (January 2012)
 Dambaru Bhatta. Faculty Research Council (FRC), $2,600.00 (2010  2011)
 Dambaru Bhatta. Undergraduate Research Initiative (URI), $2,000.00 (2010  2011)
 Dambaru Bhatta. Faculty Research Council (FRC), $4,200.00 (2009  2010)
 Dambaru Bhatta. Faculty Development Council (FDC), Mathematical Association of America , $1,250.00 (January 2008)
 Dambaru Bhatta. Faculty Research Council (FRC), $3,000.00 (2006  2007)
Selected Presentations
 Dambaru Bhatta. "Convective flow in a porous medium with linear vertical variation in resistivity," Texas Differential Equation Conference, University of Texas San Antonio, San Antonio, TX (March 2018)
 Dambaru Bhatta. "Weakly nonlinear convective flow in an aquifer with varying permeability and thermal conductivity in the vertical direction," Joint Mathematics Meeting (JMM), American Mathematical Society (AMS) and Mathematical Association of America (MAA), San Diego, CA (January 2018)
 Dambaru Bhatta. "Convective flow in a porous medium with varying resistivity and diffusivity," Applied Mathematics Seminar, SMSS, Edinburg (November 2017)
 Dambaru Bhatta. "Finite element solution for a transient incompressible viscous fluid flow in a rectangular cavity during solidification of binary alloys," AMS Fall Southeastern Sectional Meeting, University of Central Florida, Orlando (September 2017)
 Dambaru Bhatta. "WeBWork and OneNote: Their use in Teaching/Learning," Teaching Development/TeachingRelated Research Workshop , School of Mathematical & Statistical Sciences, (April 2017)
 Dambaru Bhatta. "Computation of the Time Dependent Velocity Components for a Viscous Incompressible Fluid in a Cavity," Finite Element Rodeo, University of Houston, Houston (March 2017)
 Dambaru Bhatta. "Numerical Solution for a Transient Incompressible Viscous Fluid Flow in a Cavity," Seminar, Department of Mathematics, Indian Institute of Technology (IIT), Guwahati, India (January 2017)
 Dambaru Bhatta. "Transient Flow Analysis for Viscous Incompressible Fluid in a Cavity," Applied Mathematics Seminar, SMSS, Edinburg (November 2016)
 Dambaru Bhatta. "Computation of time dependent solutions for a 3D convective flow during solidification of binary alloys," Texas Partial Differential Equation Conference, Texas State University, San Marcos, TX (April 2016)
 Dambaru Bhatta. "Effect of various parameters on a 3D convective flow in solidification of binary alloys," 96th Texas Section Meeting of MAA (Mathematical Association of America), MAA (Mathematical Association of America), Nacogdoches, TX (April 2016)
Current Courses
 MATH 4390 03  Math Project:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3341 01  Diff Equations:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3341 07  Diff Equations:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3345 02I  Linear Optimization:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3345 01I  Linear Optimization:
 Syllabus
 Course Evaluations
 Textbooks
Previous Courses

FALL 2018
 MATH 3341 01  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 3341 07  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 3345 01I  Linear Optimization:
 Syllabus
 Course Evaluations
 MATH 3345 02I  Linear Optimization:
 Syllabus
 Course Evaluations
 MATH 4390 03  Math Project:
 Syllabus
 Course Evaluations

SUMMER I 2018
 MATH 3341 01  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 3341 04  Diff Equations:
 Syllabus
 Course Evaluations

SPRING 2018
 MATH 3349 01  Numerical Methods:
 Syllabus
 Course Evaluations
 MATH 4390 06  Math Project:
 Syllabus
 Course Evaluations
 MATH 6330 01I  Linear Algebra:
 Syllabus
 Course Evaluations
 MATH 6330 02I  Linear Algebra:
 Syllabus
 Course Evaluations
 MATH 6330 90L  Linear Algebra:
 Syllabus
 Course Evaluations

FALL 2017
 MATH 2413 03  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2413 03  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2413 05  Calculus I:
 Syllabus
 Course Evaluations
 MATH 4390 07  Math Project:
 Syllabus
 Course Evaluations

SUMMER II 2017
 MATH 3341 01I  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 3341 02I  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 6376 01I  Num Methods for PDES:
 Syllabus
 Course Evaluations
 MATH 6376 95L  Num Methods for PDES:
 Syllabus
 Course Evaluations

SPRING 2017
 MATH 2414 06  Calculus II:
 Syllabus
 Course Evaluations
 MATH 2414 06  Calculus II:
 Syllabus
 Course Evaluations
 MATH 3341 02  Diff Equations:
 Syllabus
 Course Evaluations
 MATH 3349 01  Numerical Methods:
 Syllabus
 Course Evaluations
 MATH 7301 06  Thesis II:
 Syllabus
 Course Evaluations

FALL 2016
 MATH 2415 02  Calculus III:
 Syllabus
 Course Evaluations
 MATH 2415 03  Calculus III:
 Syllabus
 Course Evaluations
 MATH 4390 06  Math Project:
 Syllabus
 Course Evaluations
 MATH 7301 03  Thesis II:
 Syllabus
 Course Evaluations