Faculty Details
Faculty

Ruchika  .

Specialization
:
Operations Management & Quantitative Techniques
Designation
:
Assistant Professor
Email
:
ruchika@imi.edu

Ruchika  .

  • Ph.D. (Applied Mathematics), Delhi Technological University, Delhi.
  • CSIR-UGC, NET-JRF (Mathematical Sciences).
  • M. Sc (Mathematics), University of Delhi.
  • B. Sc (Hons.) Mathematics, University of Delhi.



Ruchika  .

Dr. Ruchika is a Ph.D. holder in Applied Mathematics from Delhi Technological University, India. Her doctoral thesis is focused on the numerical study of hyperbolic conservation laws using fuzzy flux limiters. Her research interests include hyperbolic conservation laws, numerical analysis, differential equations, and fuzzy logic. Ruchika has received several awards and accolades throughout her academic career, including the Premier Research Award in 2023 and the Commendable Research Award for two publications in 2022 from Delhi Technological University. She was also a Research Fellow for the University Grants Commission (UGC) in Mathematics and qualified for the CSIR-UGC joint NET-JRF (Mathematical Sciences) exam. She has published several papers in reputable scientific journals and presented her research at international conferences. She is also Lean Six Sigma Black Belt certified by the International Quality Federation (IQF) and Council for Six Sigma Certification (CSSC). 

Ruchika  .

  • Ruchika Lochab, Vivek Kumar, Numerical Simulation of Hyperbolic Conservation Laws Using High Resolution Schemes with the Indulgence of Fuzzy Logic. In: Sergeyev Y., Kvasov D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science, LNCS 11974, pp. 139-153, 2020. Springer, Cham. 
  • Ruchika Lochab, Vivek Kumar, An improved flux limiter using fuzzy modifiers for Hyperbolic Conservation Laws, Mathematics and Computers in Simulation; 181 (2021), 16–37.
  • Ruchika Lochab, Vivek Kumar, A New Reconstruction of Numerical Fluxes for Conservation Laws using Fuzzy Operators; International Journal for Numerical Methods in Fluids. 93 (2021), 1690-1711.
  • Ruchika Lochab, Vivek Kumar, High Resolution TVD Scheme based on Fuzzy Modifiers for Shallow-Water equations; In: M. Paszynski et al. (Eds.): International Conference on Computational Science (ICCS), LNCS 12742, pp. 480–492, 2021. Springer, Cham. 
  • Ruchika Lochab, Vivek Kumar, A Comparative Study of High Resolution Methods for Non-linear Hyperbolic Problems; Journal of Applied Mathematics and Mechanics, Wiley. 102 (2022), 1-27. 
  • Ruchika Lochab, Vivek Kumar, On the Approximation of Dam-Break Problems Using a Fuzzified HR-TVD Scheme; MethodsX, Elsevier. 10 (2023), 1-14. 10.1016/j.mex.2023.102003.

Ruchika  .

  • International Conference On Recent Advances In Pure And Applied Mathematics (ICRAPAM 2018), Delhi Technological University, Delhi.
  • International Conference on Recent Developments in Theory and Computation and Application of Differential Equations (ICRDTCADE-2019), South Asian University, New Delhi.
  • Numerical Computations: Theory and Algorithms (NUMTA 2019), Crotone, Italy.
  • International Conference on Computational Science (ICCS 2021), Krakow, Poland.
  • Institute of Mathematics and Mechanics (IMM 2023), Istanbul, Turkey.
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