py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

Discontinuous Galerkin (DG) methods are a class of numerical techniques used to solve partial differential equations (PDEs). These methods are particularly useful for problems where traditional ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

Abstract: Problems involving the classical linear partial differential equations of mathematical physics can be reduced to algebraic ones of a very much simpler structure by replacing the ...

You may not have heard of Ansys, but it's in the process of being acquired by chip design tool firm Synopsys for $35 billion.

This was the course project for Digital Image Processing (CS663), in the Autumn Semester of 2024-25, at IIT Bombay ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

YoungHoon Kim, with an IQ of 276, is currently the highest IQ individual. The article lists nine more individuals, including Terence Tao and Marilyn Vos Savant, with significant contributions in ...

Abstract: In this paper it is explained how Maxwell's field equations together with the appropriate boundary conditions may be converted into equations analogous to those for coupled transmission ...

For a couple of years or so the brouhaha about AI has been on us. The one worry that consistently nags me is the lack of ...