Publications and Theses

Theses

• Postgraduate Thesis
  Local Solution to Electro-Capillary Phenomenon near Sharp Corner
  Investigates the voltage behaviour near the triple contact point in electrowetting, deriving eigenvalue conditions that demonstrate the absence of Moffatt‐type eddies—insights critical to the design of electrowetting-based devices.
• Undergraduate Thesis
  On Numerical Methods for Real Solutions of One Variable Nonlinear Equations
  A detailed survey and classification of iterative schemes leading to the development of three novel cubic‐convergent methods for solving one‐variable nonlinear equations, culminating in a hypothesis that fixed‐point families offer optimal stability and efficiency.

Selected Publications

For a complete list, see my Google Scholar profile.

1. D. Shah & M. Sahni, “DMS way of finding the optimum number of iterations for fixed point iteration method,” World Congress on Engineering, London, 2018.
2. D. Shah et al., “Series of Floor and Ceiling Function—Part I: Partial Summations,” Mathematics 10(7), 1178 (2022).
3. D. Shah et al., “Series of Floor and Ceiling Function—Part II: Infinite Series,” Mathematics 10(9), 1566 (2022).