Dr. Narendra Singh Yadav
Assistant Professor
Office Address:
Indian Institute of Information Technology Sri City,
Department of Computer Science and Engineering,
Room Number-319, Chittoor District - 517 646,
Andhra Pradesh, India
Academic Qualifications
Education:
Ph.D.: [Applied and Computational Mathematics]
Thesis Title: Study of Higher-Order Fitted Mesh Methods for Singularly Perturbed Parabolic PDEs with Smooth and Non-Smooth Data.
Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, India.
Masters in Science (M. Sc) [Mathematics]
Thesis Title: Inverse Problems in Hyperbolic PDEs.
Indian Institute of Technology (IIT), Delhi, India.
Research Areas of Interest
- Numerical Solution of Singular Perturbation Problems - Finite
- Difference/Element/Volume Methods.
- Computational Fluid Dynamics.
- Asymptotic Preserving IMEX-DG Schemes on Adaptive Grids for Multiscale Compressible Flows.
Awards / Honours
- 2022 -Research Associate Position, IISER, Thiruvananthapuram.
- 2016-IIST Ph.D. fellowship.
- 2015&16-GATE Examination.
- 2013-IIT-JAM
- 2010-First position in 12th School level.
Projects
Publications
Journals:
- 3Narendra Singh Yadav and K. Mukherjee, “Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions,” Applied Numerical Mathematics, vol. 206, pp. 210–246, 2024. doi: https://doi.org/10.1016/j.apnum.2024.08.001.
- N. Kumar, S. Toprakseven, Narendra Singh Yadav, and J. Y. Yuan, “A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh,” Applied Numerical Mathematics, vol. 201, pp. 322–346, 2024. doi: https://doi.org/10.1016/j.apnum.2024.03.013.
- Narendra Singh Yadav and K. Mukherjee, “Higher-order uniform convergence and order reduction analysis of a novel fractional-step FMM for singularly perturbed 2d parabolic PDEs with time-dependent boundary data,” Journal of Applied Analysis and Computation, vol. 14, no. 3, pp. 1222–1268, 2024. doi: https://doi.org/10.11948/20230023.
- Narendra Singh Yadav and K. Mukherjee, “Parameter-robust higher-order time-accurate computational method for singularly perturbed time-dependent semilinear convection-diffusion PDEs with discontinuous data,” Mathematical Methods in the Applied Sciences, 2024. doi: https://doi.org/10.1002/mma.10070.
- Narendra Singh Yadav and K. Mukherjee, “Stability and error analysis of an efficient numerical
method for convection dominated parabolic pdes with jump discontinuity in source function on modified layer-adapted mesh,” Computational Mathematics and Mathematical Physics, vol. 64, no. 3, pp. 493–520, 2024. doi: https://doi.org/10.1134/S0965542524030102. - Narendra Singh Yadav and K. Mukherjee, “Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic pdes of convection-diffusion type,” Numerical Algorithm, 2023. doi: https://doi.org/10.1007/s11075-023-01670-2.
- Narendra Singh Yadav and K. Mukherjee, “On ε-uniform higher-order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer,” Int. J. Appl. Comput. Math, vol. 7, no. 72, 2021.
doi: https://doi.org/10.1007/s40819-021-00979-7. - Narendra Singh Yadav and K. Mukherjee, “Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers,” Int. J. Appl. Comput. Math, vol. 6, no. 53, 2020. doi: https://doi.org/10.1007/s40819-020-00804-7.
- Narendra Singh Yadav and K. Mukherjee, “An efficient numerical method for singularly perturbed parabolic problems with non-smooth data,” vol. 1345, Singapore Springer, 2021. doi: https://doi.org/10.1007/978-981-16-4772-7_12.
Conferences:
- Uniformly Convergent Computational Method for Singularly Perturbed Semilinear Parabolic Problems with Boundary and Weak Interior Layers, International Conference on Computations and Data Science (CoDS-2024), 8th–10th March 2024, Department of Mathematics at IIT Roorkee, India.
- A Novel Fully Implicit FMM for 2D Singularly Perturbed Semilinear Parabolic PDEs with Non-homogeneous Boundary Data, 21ST IMACS WORLD CONGRESS (IMACS2023), 11th–15th September 2023, UNIVERSITY OF ROME ’LA SAPIENZA’ Italy.
- An efficient numerical method for singularly perturbed parabolic problems with non-smooth data, International Conference on Computational Sciences-Modelling, Computing and Soft Computing (CSMCS-2020), 10th–12th September 2020, Department of Mathematics of National Institute of Technology Calicut, Kerala, India.
- An efficient numerical method for a class of singularly perturbed time-dependent convection-diffusion problems with non-smooth data, International Conference on Advances in Differential Equations and Numerical Analysis (ADENA-2020), 12th–14th October 2020, IIT Guwahati, India.
- Convergence analysis of new hybrid scheme for singularly perturbed parabolic problems with interior layers, International Conference on differential equations and control problems: modelling, analysis and computations (ICDECP19), 17th June to 19th June 2019, IIT, Mandi, Himachal Pradesh.
- Hybrid Numerical Scheme for Singularly Perturbed Parabolic Convection-Diffusion Problems, International Conference on Analysis and Applied Mathematics (ICAAM2018), 02nd June to 4th July 2018, Department of Mathematics, NIT, Tiruchirappalli.
Invited Talks:
- Strong and Weak Maximum Principles and its Applications, Department of Mathematics, SRM University, AP, Andhra Pradesh, India 11th Oct 2023.
- Uniformly Convergent Computational Method for Singularly Perturbed Time-Dependent Semilinear Convection-Diffusion Equations with Discontinuous Data, “Conference on Graph Theory and Additive Combinatorics 2024” organized by the Department of Applied Sciences, IIIT Allahabad, during May 03-05, 2024.
Workshops:
- Instructional School for Teachers: Differential Equations, 23rd August to 4th August 2018, National Centre for Mathematics organized by Indian Institute of Science (IISc), Bangalore, India.
- Instructional School for Teachers, PDE: Theory and Computations “Under: -National Centre for Mathematics, 14th–26th May 2018, Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, India.
- Diffusion and Sub-Diffusion Problem: Theory, Numeric, and Applications" Under: - National Program on Differential Equation- Theory, Computation, and Applications (NPDETCA), 31st January to 5th February 2017, IIT Bombay & LNM Institute of Information Technology, Jaipur, India.
Students: NA
Work Experience
- August 2024 – Continue, Assistant Professor, Indian Institute of Information Technology, Sri City, Chittoor, Andhra Pradesh, India.
- May 2023 – August 2024, Assistant Professor, Department of Mathematics SRM University AP, Andhra Pradesh, India.
- Nov. 2022 – May 2023, Assistant Professor (Ad-hoc), Department of Mathematics, National Institute of Technology, Andhra Pradesh, India.
- April 2022 – Nov. 2022, Post Doc, School of Mathematics, IISER Thiruvananthapuram, Kerala, India.
Teaching
Course taught at NIT Andhra Pradesh
- MA101-Differential and Integral Calculus
- MA151-Matrices and Differential Equations
- MA251-Numerical and Statistical Methods
Course taught at SRM, AP, Andhra Pradesh
- MAT141-DiscreteMathematics
- MAT211-Linear Algebra
- MAT203-ODE-I (B.Sc., IInd year)
- MAT514-Optimization Techniques
- FIC117-Linear Algebra and Differential Equations
Patents
Contact Information
Address for Communication:
Dr. Narendra Singh Yadav,
Assistant Professor,
Room No. 205, 2nd Floor,
Indian Institute of Information Technology Sri City Chittoor
630, Gnan Marg, Sri City, Satyavedu Mandal
Chittoor District - 517 646, Andhra Pradesh, India.
