Dr. Kavita

Assistant Professor

Specialization

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

Email

kavita@thapar.edu

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

S.No.

Author(s)

Year of Publication

Title of Paper

Name of the

Journal, volume/

page numbers,

Name of the Publisher

1

Meenal Singhal, Rohit Kumar Singla and Kavita Goyal

2020

A novel comparative approach on inverse heat transfer analysis of an experimental setup of an extended surface

International Communications in Heat and mass Transfer, volume 118, pages 104822

Elsevier

2

Navjot Kaur and Kavita Goyal

2020

Hybrid Hermite polynomial chaos SBP-SAT technique for stochastic advection-diffusion equations

International Journal of Modern Physics-C, volume 31, pages 2050128

World scientific

3

Navjot Kaur and Kavita Goyal

2020

Uncertainty propagation using Wiener-Linear B-spline wavelet expansion

Computers & Mathematics with Applications, volume 79, pages 2598-2623

 

Elsevier

4

Meenal Singhal, Rohit Kumar Singla and Kavita Goyal

2020

Convective and radiative thermal analysis of composite wall with non-linear, temperature-dependent properties

Heat Transfer Research, volume 51, pages 275-296

Begell House

5

Deepika Sharma and Kavita Goyal

2020

Wavelet optimized upwind conservative method for traffic flow problems

International Journal of Modern Physics-C, International Journal of Modern Physics-C, volume 31, pages 2050086

World Scientific

6

Kavita Goyal and Deepika Sharma

2020

A MATLAB suite for second generation wavelets on an interval and the corresponding adaptive grid

Acta Applicandae Mathematicae, volume 31, pages 279-321

Springer

7

Deepika Sharma, Kavita Goyal and Rohit Kumar Singla

2019

A curvelet method for numerical solution of Partial Differential Equations

Applied Numerical Mathematics, volume 148, pages 28-44

Elsevier

8

Deepika Sharma, Rohit Kumar Singla and Kavita Goyal

2019

An adaptive grid based curvelet optimized solution for nonlinear Schrodinger equation

International Journal of Modern Physics-C, volume 30, 1950101 (1-28)

World Scientific

9

Deepika Sharma and Kavita Goyal

2019

Spectral graph wavelet optimized finite difference method for solution of Burger’s equation with different boundary conditions

Journal of Difference Equations and Applications, volume 25, pages: 373-395

Taylor and Francis

10

Meenal Singhal, Sarvjeet Singh, Rohit Kumar Singla, Kavita Goyal and Deepak Jain

2019

Experimental and computational inverse thermal analysis of transient, non-linear heat flux in circular pin fin with temperature-dependent thermal properties

Applied Thermal Engineering, volume 168, 114721

Elsevier

11

Deepika Sharma and Kavita Goyal

2018

Second generation wavelet optimized finite difference method (SGWOFD) for solution of Burger’s equation with different boundary conditions

International journal of wavelets, multiresolution and information processing, volume 16, pages: 1850032:1-29

World Scientific

12

Maarten Arnst and Kavita Goyal

2017

Sensitivity analysis of parametric uncertainties and modeling errors in computational-mechanics models by using a generalized probabilistic modeling approach

Reliability Engineering and System Safety, volume 167, pages 394–405

Elsevier

13

Kavita Goyal and Mani Mehra

2017

An adaptive meshfree spectral graph wavelet method for partial differential equations

Applied Numerical Mathematics, volume 113, pages: 168–185

Elsevier

14

Kavita Goyal and Mani Mehra

2015

Fast diffusion wavelet method for partial differential equations

Applied Mathematical Modelling, volume 40, pages: 5000–5025

Elsevier

15

Kavita Goyal and Mani Mehra

2014

An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere

Journal of Computational Physics, volume: 272, pages: 747–771

Elsevier

16

Kavita Goyal and Mani Mehra

2014

A Fast Adaptive diffusion wavelet method for Burger’s equation

Computers & Mathematics with Applications, volume: 68, pages: 568–577

Elsevier

 

Mani Mehra and Kavita Goyal

2013

Algorithm 929: A Suite on Wavelet Differentiation Algorithms

ACM-Transactions on Mathematical Software, volume: 39, pages: 27:1–27:28

ACM