chirala

Chirala Satyanarayana

Associate Professor
Satyanarayana.Chirala@mahindrauniversity.edu.in

Dr. Chirala Satyanarayana, an Associate Professor of Mathematics at École Centrale School of Engineering, Mahindra University, is interested in the development of Radial Basis Function (RBF) based grid-free local schemes with an optimized shape parameter for solving partial differential equations and their applications to Computational Fluid Dynamics.

Dr. Chirala Satyanarayana obtained his Ph.D. in Mathematics from Indian Institute of Technology Madras, Chennai.

  • Ph.D.: Indian Institute of Technology Madras, Chennai, Tamil Nadu (2008-2013).
    Thesis title: RBF Based Grid-Free Local Schemes with Variable (Optimal) Shape Parameter for Convection Diffusion Type Equations
  • M.Sc.: Regional Engineering College (Presently known as NIT), Warangal, Telangana (1998-2000).
  • B.Sc.: Kakatiya University, Warangal, Telangana (1994-1997).

  • Assistant Professor: Ecole Centrale School of Engineering, Mahindra University (June, 2014 to July, 2019)
  • Ad-hoc faculty: National Institute of Technology, Warangal, Telangana (December, 2013 to April, 2014).
  • Senior Research Fellow: Indian Institute of Technology Madras, Chennai, Tamil Nadu (Sept, 2010 to Oct, 2013)
  • Junior Research Fellow: Indian Institute of Technology Madras, Chennai, Tamil Nadu (July, 2008 to Aug, 2010)
  • Lecturer: Kavikulguru Institute of Technology, Ramtek, Nagpur, Maharashtra (July, 2000 to July, 2008).

2023-2025

  • Sumit Mishra, Chirala Satyanarayana, Manoj Kumar Yadav, Fourth order RBF-HFD method for elliptic PDE problems with optimal shape parameter selection: Sixth order convergence and improved accuracy, Engineering Analysis with Boundary Elements, 180, 2025, 106489.
  • Sreedhar, Manoj Kumar Yadav, and Chirala Satyanarayana, RBF based backward differentiation methods for stiff differential equations, Engineering Analysis with Boundary Elements, 176, 2025, 106215.
  • Chirala Satyanarayana, Manoj Kumar Yadav, and Madhumita Nath, Multiquadric based RBF-HFD approximation formulas and convergence properties, Engineering Analysis with Boundary Elements, 160, 2024, 234-257.
  • Sreedhar, Manoj Kumar Yadav, and Chirala Satyanarayana, Fourth order RBF-HFD scheme for time-fractional Burger's equation, Paper presentation at LACAM-24 conference, IISER Thiruvananthapuram, Kerala.
  • Madhumita Nath, Chirala Satyanarayana, and Manoj Kumar Yadav, Fourth order RBF-HFD scheme for pricing European type Asian option, Paper presentation at LACAM-24 conference, IISER Thiruvananthapuram, Kerala.
  • Madhumita Nath, Chirala Satyanarayana, and Manoj Kumar Yadav, Multiquadric based fourth order RBF-HFD scheme for Burgers' equation, Paper presented at International Conference on Computational Modelling in Science and Engineering, Oct 2023, NIT Warangal, Telangana, India.
  • Madhumita Nath, Chirala Satyanarayana, and Manoj Kumar Yadav, MQ based RBF-HFD method for solving unsteady convection-diffusion equation, Paper presented at ISTAM 2023.
  • Sreedhar, Manoj Kumar Yadav, and Chirala Satyanarayana, Gaussian based RBF-HFD method for time-fractional convection-diffusion equation, Paper presented at ISTAM 2023.

2021

  • Jai Prakash and Chirala Satyanarayana, Axisymmetric slow motion of a porous spherical particle in a viscous fluid using time fractional Navier-Stokes equation, Colloids Interfaces 2021, 5(2), 24; https://doi.org/10.3390/colloids5020024.

2020

  • Satyanarayana Chirala, RBF-FD Based Method of Lines with an Optimal Constant Shape Parameter for Unsteady PDEs. In: Dutta D., Mahanty B. (eds) Numerical Optimization in Engineering and Sciences. Advances in Intelligent Systems and Computing, vol 979, 2020. Springer, Singapore.
  • Jetta M., Chirala Satyanarayana, On Stability of Multi-Quadric-Based RBF-FD Method for a Second-Order Linear Diffusion Filter. In: Dutta D., Mahanty B. (eds) Numerical Optimization in Engineering and Sciences. Advances in Intelligent Systems and Computing, vol 979, 2020. Springer, Singapore.

2019

  • Chirala Satyanarayana. A compact RBF partition of unity method for solving partial differential equations. Presented at Indo-German Conference on Computational Mathematics (IGCM), Dec 2-4, 2019, IISc-Bangalore, India.
  • Manoj Kumar Yadav and Satyanaraya Chirala. Comparative analysis of RBF-PUM and FD based collocation schemes for pricing European basket option. Presented at Indo-German Conference on Computational Mathematics (IGCM), Dec 2-4, 2019, IISc-Bangalore, India.
  • Mahipal Jetta, Satyanarayana Chirala (2019). On multi-quadric based RBF-FD method for second-order diffusion filters, SN Computer Science, (1): 1- 39.
  • G. Krishna Veni, M. Chenna Krishna Reddy and Chirala Satyanarayana, A RBF based partition of unity method for unsteady incompressible viscous flows. Presented at 64th Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM), Dec 9-12, 2019, IIT Bhubaneswar, India.

2014

  • Y. V. S. S. Sanyasiraju and Chirala Satyanarayana (2014). Upwind strategies for Local RBF Scheme to solve Convection Dominated Problems, Engineering Analysis with Boundary Elements, (48), 1 - 13.

2013

  • Y. V. S. S. Sanyasiraju and Chirala Satyanarayana (2013). Local Hermite-RBF based grid-free scheme with variable optimal shape parameter for steady convection-diffusion equations, Numerical Analysis & Modelling, Series B, (4), 382 - 393.
  • Y. V. S. S. Sanyasiraju and Chirala Satyanarayana (2013). On optimization of the RBF shape parameter in a grid - free local scheme for convection dominated problems over non - uniform centres, Applied Mathematical Modelling, (37), 7245 - 7272.

2012

  • Y. V. S. S. Sanyasiraju and Chirala Satyanarayana (2012). RBF based grid - free local scheme with spatially variable optimal shape parameter for steady convection - diffusion equations, CFD Letters, 4(4), 151 - 172.

2010

  • Chirala Satyanarayana and Y. V. S. S. Sanyasiraju (2010). Hermite-RBF based grid free local scheme with an optimal shape parameter for steady nonlinear Burgers' equation, Proceedings of the 37th FMFP conference been conducted at IIT Madras during December 16-18, FMFP10 - CF - 07, 1 -10.
  • Radial Basis Function based grid free/meshfree schemes
  • Numerical Analysis
  • Computational Fluid Dynamics

Teaching:

  • Numerical Analysis
  • Finite Difference Methods for Partial Differential Equations
  • Meshfree Methods
  • Advanced Numerical Methods for Partial Differential Equations
  • Ordinary and Partial Differential Equations
  • Complex Analysis
  • Probability and Statistics
  • Multivariable Calculus