Publications

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Journal Publications

1. An Adaptive Wavelet Optimized Finite Difference B-spline Polynomial Chaos Method for Random Partial Differential Equations, Navjot Kaur and Kavita Goyal accepted in Applied Mathematics and Computation in 2021.

2. 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.

3. 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.

4. 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.

5. 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.

6. Uncertainty propagation using Wiener-Linear B-spline wavelet expansion, Navjot Kaur and Kavita Goyal, Computer and Mathematics with Applications, volume 79, pages 2598-2623, 2020.

7. 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.

8. A MATLAB suite for second generation wavelets on an interval and the corresponding adaptive grid, Deepika Sharma and Kavita Goyal, Acta Applicandae Mathematicae, volume 31, pages 279-321, 2020.

9. Wavelet optimized upwind conservative method for traffic flow problems, Deepika Sharma and Kavita Goyal, International Journal of Modern Physics-C, volume 31, pages 2050086, 2020.

10. An adaptive grid based curvelet optimized solution for non-linear Schrodinger equation, Deepika Sharma, Rohit Kumar Singla and Kavita Goyal, accepted in International Journal of Modern Physics-C, 2019.

11. 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.

12. 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.

13. 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.

14. 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 (IJWMIP), volume 16, pages: 1850032:1-29, 2018.

15. 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 116, pages: 394-405, 2017.

16. 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.

17. Fast diffusion wavelet method for partial differential equations, Kavita Goyal and Mani Mehra, Applied Mathematical Modelling, volume 40, pages: 5000-5025, 2015.

18. 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.

19. 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.

20. 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.

Conference Publications

1. Adomian Decomposition Method for Thermal Analysis of a Furnace, Meenal Singhal and Kavita Goyal, Proceedings of the International Conference, ICERA 2018 held in Vietnam in December 2018

2. Wavelets and inverse problems, Kavita Goyal and Mani Mehra, Proceedings of the satellite conference of ICM 2010 Mathematics in Science and Technology: Mathematical Methods, Models and Algorithms in Science and Technology pages: 430-447, 2011.

Conference Abstracts

1. Sparse evolution of functions using diffusion wavelet, Kavita Goyal and Mani Mehra , International Conference on Applied Harmonic Analysis and Multiscale Computing, July 2011, University of Alberta, Edmonton, Canada.

2. Application of diffusion wavelet in numerical solutions of partial differential equations, Kavita Goyal and Mani Mehra, New Trends in Applied Harmonic Analysis Sparse Representations, Compressed Sensing and Multifractal Analysis, August 2013, Mar del Plata, Argentina.

3. An adaptive meshfree spectral graph wavelet method for partial differential equations on the sphere, Kavita Goyal and Mani Mehra, 5th International Conference on Computational Harmonic Analysis, 19-23 May, 2014, Vanderbilt University, Nashville, USA.

4. Comparison of different numerical schemes for traffic flow problem and the corresponding Daubechies adaptive grid, Deepika Sharma and Kavita Goyal, International conference on Recent Advances in Theoretical and Computational Partial Differential Equations with Applications held at University Institute of Engineering and Technology during 05-09 December, 2016.

5. Curvelet optimized finite difference method for partial differential equations, Deepika Sharma and Kavita Goyal, International conference on current trends in theoretical and computational differential equations with applications held at South Asian University, Delhi during 01-05 December, 2017.

6. A fast adaptive curvelet method for Schrodinger equation, Deepika Sharma and Kavita Goyal, International conference and 14^th biennial conference of Indian Society of Industrial and Applied Mathematics held at Guru Nanak Dev University Amritsar during 02-04 February, 2018.

7. Finite difference schemes for traffic flow problem on an adaptive Daubechies grid Deepika Sharma and Kavita Goyal in International conference on frontiers in industrial and applied Mathematics held NIT Hamirpur during 26-27 April, 2018.

8. Curvelet optimized method for solving partial differential equations on general manifolds, Deepika Sharma and Kavita Goyal in International conference on differential equations and control problems: modeling, analysis and computations held at IIT Mandi during 17-19 June, 2019.

9. Uncertainty Propagation using Wiener-Linear B-spline wavelet expansion, Navjot Kaur and Kavita Goyal, International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations held at IIT Mandi, Himachal Pradesh during 17-19 June, 2019.