IIT Guwahati has released the GATE 2026 Mechanical Engineering Syllabus for the exam scheduled to be held on February 07, 08, ...

In the present article, fractional view of third order Kortewege-De Vries equations is presented by a sophisticated analytical technique called Mohand decomposition method. The Caputo fractional ...

You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. In the first script, students learn to derive transfer functions from ODEs and ...

Scientists have finally unlocked a way to identify the elusive W state of quantum entanglement, solving a decades-old problem ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

Laplace Alternative Risk Transfer Solutions, a newly established managing general underwriter (MGU) focused on alternative ...

GATE Syllabus 2026 has been released by the Indian Institute of Technology (IIT), Guwahati for all 30 subjects. The syllabus serves as a roadmap for preparation, helping candidates cover important ...

Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

Can neural networks learn to solve partial differential equations (PDEs)? We investigate this question for two (systems of) PDEs, namely, the Poisson equation and the steady Navier–Stokes equations.

Abstract: In this work, we present an approach for training parametrized physics informed neural networks to solve PDEs in a self supervised fashion, which means that no labeled input-output data is ...

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 ...