Specialization

Email

anurag.kaur@thapar.edu

Biography

Dr. Anurag Kaur is currently working as an Assistant Professor in the Department of Mathematics at Thapar Institute of Engineering and Technology, Patiala. She was awarded her Ph.D. degree in 2024 from the Department of Mathematics, Panjab University, Chandigarh, with specialization in Numerical Analysis. Following her doctorate, she worked as an Assistant Professor at Punjab Engineering College, Chandigarh. She also served as an Assistant Professor in the Department of Evening Studies–Multi-Disciplinary Research Centre, Panjab University, Chandigarh. Earlier, she taught at Multani Mal Modi College, Patiala, from 2017 to 2018. Dr. Anurag Kaur’s research interests include numerical methods for stiff differential equations, oscillatory differential equations, partial differential equations and analysis of computational methods for scientific computing.

Education

• Ph.D. Mathematics, Panjab University, Chandigarh
• M.Sc. Mathematics, Punjabi University, Patiala
• B.Sc. Mathematics, Punjabi University, Patiala

Experience: Total Teaching Experience More than 2 years

Teaching Interests:

• Numerical Analysis
• Calculus for Engineers
• Probability and Statistics
• Complex Analysis
• Real Analysis
• Differential equations and Linear Algebra

Research Interest:

• Numerical Analysis
• Numerical Simulation of ODEs and PDEs
• Approximations based on Splines
• Oscillatory differential equations

Publications:

SCI

1. N. H. Alharthi, A. Kaur, T. E. Simos, and R. T. Alqahtani, “Non-Symmetric Phase And Amplification Fitted 5-Point Block Method For Second Order Oscillatory Problems ,” TWMS Journal of Pure and Applied Mathematics (Accepted) 2026.
2. M. Hong, C. L. Lin, A. Kaur, and T. E. Simos, “A Novel Amplification-Fitted and Phase Controlled 6-Point Block Method for Second-Order Oscillatory Problems,” Mediterranean Journal of Mathematics, 23(5), 165, 2026.
3. N. H. Alharthi, A. Kaur, T. E. Simos, and R. T. Alqahtani, “The Implicit Phase-Fitted and Amplification-Fitted Four-Point Block Methods for Oscillatory First-Order Problems,” Mathematics, 13(19), 3151, 2025.
4. R. T. Alqahtani, A. Kaur, and T. E. Simos, “Efficient 5-Point Block Method for Oscillatory ODEs with Phase Lag and Amplification Error Control,” Mathematics, 13(11), 1833, 2025.
5. A. Kaur, V. Kanwar, and H. Ramos, “An Optimized Algorithm for Numerical Solution of Coupled Burgers Equations,” Applied Numerical Mathematics, 204, 352–361, 2024.
6. A. Kaur, V. Kanwar, and H. Ramos, “A Conservative Algorithm Based on a Hybrid Block Method and Tension B-Spline Differential Quadrature Method for Rosenau–KdV–RLW Equation,” Mathematical Methods in the Applied Sciences, 47(11), 8638–8650, 2024.
7. A. Kaur, V. Kanwar, and H. Ramos, “A Coupled Scheme Based on Uniform Algebraic Trigonometric Tension B-Spline and a Hybrid Block Method for Camassa–Holm and Degasperis–Procesi Equations,” Computational and Applied Mathematics, 43(1), 16, 2024.
8. A. Kaur, V. Kanwar, and H. Ramos, “An Efficient Algorithm Combining an Optimized Hybrid Block Method and the Differential Quadrature Method for Solving Hunter–Saxton Equation,” Journal of Mathematical Chemistry, 61(4), 761–776, 2023.
9. H. Ramos, A. Kaur, and V. Kanwar, “Using a Cubic B-Spline Method in Conjunction with a One-Step Optimized Hybrid Block Approach to Solve Nonlinear Partial Differential Equations,” Computational and Applied Mathematics, 41(1), 34, 2022.

SCOPUS

1. A. Kaur and V. Kanwar, “Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method,” International Journal of Applied and Computational Mathematics, 8(1), 20, 2022.

International Conferences

1. 13th Chandigarh Science Congress (CHASCON-2019), Panjab University, Chandigarh, India (Presented a paper)
2. International Conference on Advances in Differential Equations and Numerical Analysis (ADENA-2020), IIT Guwahati, India (Presented a paper)
3. 22th International Conference Computational and Mathematical Methods in Science and Engineering (CMMSE2022), Cadiz, Spain (Presented a paper)
4. 15th Chandigarh Science Congress (CHASCON-2022) (Presented a paper)
5. 23th International Conference Computational and Mathematical Methods in Science and Engineering (CMMSE2023), Cadiz, Spain (Presented a paper)
6. 16th Chandigarh Science Congress (CHASCON-2023) (Presented a paper)
7. 21st IMACS World Congress, Rome, Italy (Presented a paper)

Achievement, Awards and Recognitions

• Qualified UGC-CSIR JRF June 2017 exam (AIR 22)
• Qualified UGC-NET Dec 2016 exam (AIR 31)
• Qualified GATE 2017

Message to Students & Community

Every achievement begins with a dream and a decision to pursue it.