Specialization

Application of wavelets, Partial differential equations, Uncertainty quantification, inverse problems.

Email

kavita@thapar.edu

Contact No.

+91-9654-040-633

Assistant Professor

kavita@thapar.edu

Biography

Dr. Kavita is an assistant professor in school of Mathematics, Thapar Institute of Engineering & Technology, Patiala. She completed her PhD from IIT Delhi and worked as a postdoc fellow in University of Liege, Belgium. Her area of research is applications of wavelets, partial differential equations, uncertainty quantification, inverse problems. She has presented her work in many international conferences and published her work in journals of high repute. Apart from research she is highly motivated for teaching. She has uploaded lectures on many courses in her YouTube channel : https://www.youtube.com/channel/UCER1cHgm8JPfQiCchBN1XCg

Experience: Total Teaching Experience: More than 6 years

Teaching Interests:

Research Interest :

Publications:

Journals

Numerical Analysis

• Differential Equations
• Calculus
• Linear Algebra
• Applications of wavelets
• Numerical Analysis
• Uncertainty quantification

Publications:

Journals

1. An adaptive stochastic investigation of partial differential equations using wavelet collocation generalized polynomial chaos method. Navjot Kaur and Kavita Goyal, Communications in Nonlinear Science and Numerical Simulation volume 119, page 107110, 2023.
2. Inverse optimization based non-invasion technique for multiple tumor detection in brain tissue. M. Singhal, R. K. Singla, K. Goyal and S. Singh accepted in ‘International Communications in Heat and Mass Transfer’.
3. A new shear deformation theory in axiomatic framework for bending and buckling analysis of cross-ply and angle-ply laminated composite plates. Mohit Dhuria, Neeraj Grover and Kavita Goyal accepted in ‘Journal of Applied Mechanics’.
4. An Adaptive Wavelet Optimized Finite Difference B-spline Polynomial Chaos Method for Random Partial Differential Equations, Navjot Kaur and Kavita Goyal, Applied Mathematics and Computation, volume 415, 126738, 2022.
5. Influence of porosity distribution on static and buckling responses of porous functionally graded plates, Mohit Dhuria, Neeraj Grover and Kavita Goyal, Structures, volume 34, page 1458-1474, 2021.
6. Uncertainty Quantification of Stochastic Epidemic SIR Models using B-spline Polynomial Chaos, Navjot Kaur and Kavita Goyal, Regular and Chaotic Dynamics, volume 26, page 22-38, 2021.
7. A novel comparative approach on inverse heat transfer analysis of an experimental setup of an extended surface, Meenal Singhal, Rohit Kumar Singla and Kavita Goyal, International Communications in Heat and mass Transfer, volume 118, pages 104822, 2020.
8. Hybrid Hermite polynomial chaos SBP-SAT technique for stochastic advection-diffusion equations, Navjot Kaur and Kavita Goyal, International Journal of Modern Physics-C, volume 31, pages 2050128 (2020).
9. Uncertainty propagation using Wiener-Linear B-spline wavelet expansion, Navjot Kaur and Kavita Goyal, Computers & Mathematics with Applications, volume 79, pages 2598-2623 (2020).
10. Convective and radiative thermal analysis of composite wall with non-linear, temperature-dependent properties, Meenal Singhal, Rohit Kumar Singla and Kavita Goyal, Heat Transfer Research, volume 51, pages 275-296, 2020.
11. Wavelet optimized upwind conservative method for traffic flow problems, Deepika Sharma and Kavita Goyal, International Journal of Modern Physics-C, International Journal of Modern Physics-C, volume 31, pages 2050086, 2020.
12. MATLAB suite for second generation wavelets on an interval and the corresponding adaptive grid, Kavita Goyal and Deepika Sharma, Acta Applicandae Mathematicae, volume 31, pages 279-321, 2020. https://doi.org/10.1007/s10440-019-00299-5
13. A curvelet method for numerical solution of Partial Differential Equations, Deepika Sharma, Kavita Goyal and Rohit Kumar Singla, Applied Numerical Mathematics, volume 148, pages 28-44, 2019.
14. An adaptive grid based curvelet optimized solution for nonlinear Schrodinger equation, Deepika Sharma, Rohit Kumar Singla and Kavita Goyal, International Journal of Modern Physics-C, volume 30, 1950101 (1-28), 2019.
15. Spectral graph wavelet optimized finite difference method for solution of Burger’s equation with different boundary conditions, Deepika Sharma and Kavita Goyal, Journal of Difference Equations and Applications, volume 25, pages: 373-395, 2019.
16. Experimental and computational inverse thermal analysis of transient, non-linear heat flux in circular pin fin with temperature-dependent thermal properties, Meenal Singhal, Sarvjeet Singh, Rohit Kumar Singla, Kavita Goyal and Deepak Jain, Applied Thermal Engineering, volume 168, 114721, 2019.
17. Second generation wavelet optimized finite difference method (SGWOFD) for solution of Burger’s equation with different boundary conditions, Deepika Sharma and Kavita Goyal, International journal of wavelets, multiresolution and information processing, volume 16, pages: 1850032:1-29, 2018.
18. Sensitivity analysis of parametric uncertainties and modeling errors in computational-mechanics models by using a generalized probabilistic modeling approach, Maarten Arnst and Kavita Goyal, Reliability Engineering and System Safety, volume 167, pages 394–405, 2017.
19. An adaptive meshfree spectral graph wavelet method for partial differential equations, Kavita Goyal and Mani Mehra, Applied Numerical Mathematics, volume 113, pages: 168–185, 2017.
20. Fast diffusion wavelet method for partial differential equations, Kavita Goyal and Mani Mehra, Applied Mathematical Modelling, volume 40, pages: 5000–5025, 2015.
21. An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere, Kavita Goyal and Mani Mehra, Journal of Computational Physics, volume: 272, pages: 747–771, 2014.
22. A Fast Adaptive diffusion wavelet method for Burger’s equation, Kavita Goyal and Mani Mehra, Computers & Mathematics with Applications, volume: 68, pages: 568–577, 2014.
23. Algorithm 929: A Suite on Wavelet Differentiation Algorithms, Mani Mehra and Kavita Goyal, ACM-Transactions on Mathematical Software, volume: 39, pages: 27:1–27:28, 2013.