MUMBAI, India, Jan. 9 -- Intellectual Property India has published a patent application (202521098576 A) filed by Scope Global Skills University; Prof. Vinod Kumar Gupta; Dr. Pooja Bijlani; and Dr. Dhirendra Kumar Shukla, Bhopal, Madhya Pradesh, on Oct. 13, 2025, for 'system and method for solving complex integral equations in engineering simulations.'

Inventor(s) include Prof. Vinod Kumar Gupta; Dr. Pooja Bijlani; and Dr. Dhirendra Kumar Shukla.

The application for the patent was published on Jan. 9, under issue no. 02/2026.

According to the abstract released by the Intellectual Property India: "The present invention relates to the development of the method that combines advanced numerical strategies with adaptive algorithms with a view to manage the computational difficulties presented by high-dimensional, nonlinear, and singular integral equations. The approach combines discretization procedures, such as boundary element methods and spectral approximations, with machine learning enabled acceleration of convergence, which increases both accuracy and time efficiency. The use of a hybrid parallel computing platform enhances scalability, and rapid or near rapid solutions for large-scale simulations may be possible. This methodology also combines error estimation and adaptive refinement that optimizes performance on-the-fly. A variety of experimental evaluations of the approach in a range of engineering contexts shows improved stability, accuracy and robustness of the method over typical numerical solvers. The method provides a valuable and reliable avenue for engineers and researchers to tackle important integral equation problems that are universally critical to the future of engineering design and analysis."

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