Dambaru   Bhatta

Professor  

Office: EMAGC 3.418
Phone: (956) 665-3534
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.





Selected Publications


  • 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): 142-157.

  • Dambaru Bhatta and Daniel Riahi. "Convective Fow in an Aquifer Layer," Fluids 52, no. 2 (October (4th Quarter/Autumn) 2017): 1-19.

  • Dambaru Bhatta and Daniel Riahi. "Weakly nonlinear three-dimensional convective flow during solidification of binary alloys," Nova Scientific Publications, no. Chapter 5 October (4th Quarter/Autumn) 2017: 199-226.

  • M Jani, Esmail Babolian, Shahnam Javadi, and Dambaru Bhatta. "Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation," Numerical Algorithms 75, no. 4 (August 2017): 1041-1063.

  • M. Jani, D Bhatta, and S. Javadi. "Numerical solution of fractional integro-differential equations with nonlocal conditions," Applications and Applied Mathematics 12, no. 1 (June 2017): 98-111.

  • Maria Munguia and Dambaru Bhatta. "Use of Cubic B-Spline in Approximating Solutions of Boundary Value Problems.," Applications & Applied Mathematics 10, no. 2 (December 2015): 750-771.

  • 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): 1-18.

  • 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.

  • Lokenath Debnath and Dambaru Bhatta. Integral transforms and their applications, Third Edition. CRC press, 2015.



Selected Grants and Fellowships


  • Tim Huber. Pathways to Graduate School and Profesional Careers in the Mathematical Sciences, NSF-SSTEM, $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. "WeBWork and OneNote: Their use in Teaching/Learning," Teaching Development/Teaching-Related 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)

  • Dambaru Bhatta. "Adjoint system for a 3D convective flow in an active mushy layer," Joint Mathematics Meeting (JMM), American Mathematical Society (AMS) and Mathematical Association of America (MAA), Seattle, WA (January 2016)

  • Dambaru Bhatta. "Properties of Bernstein Polynomials and Their Usage," 95th Texas Section Meeting of MAA (Mathematical Association of America), MAA (Mathematical Association of America), San Antonio, TX (April 2015)

  • Dambaru Bhatta. "Computation of the Vertical Velocity Component for a Three Dimensional Convective Flow in a Mushy Layer," Texas Partial Differential Equation Conference, University of Houston, Houston, TX (March 2015)

  • Dambaru Bhatta. "Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a Mushy Layer," International Conference on Mathematics & Computing (ICMC), Haldia Institute of Technology, India (January 2015)

Current Courses

MATH 3341 01 - Diff Equations:
Syllabus
Course Evaluations
Textbooks
MATH 3341 07 - Diff Equations:
Syllabus
Course Evaluations
Textbooks
MATH 3345 02I - Linear Optimization:
Syllabus
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Textbooks
MATH 3345 01I - Linear Optimization:
Syllabus
Course Evaluations
Textbooks

Previous Courses