Code associated with the paper: Learning data-driven discretizations for partial differential equations. Yohai Bar-Sinai, Stephan Hoyer, Jason Hickey, Michael P. Brenner. Proceedings of the National ...

Hannah Cairo has solved the so-called Mizohata-Takeuchi conjecture, a problem in harmonic analysis closely linked to other ...

Measured against that, the Kakeya conjecture – a problem stemming from a 1917 thought experiment by Japanese mathematician ...

Syllabus: The NTA has put the official JEE Main 2026 Syllabus online on their website: jeemain.nta.nic.in. If you're planning ...

Developments were made to the basic Tabu Search to adapt it to the optimisation problem. This paper explains the contribution ...

Topics range from climate-neutral steel and storytelling in the digital age to the study of infectious diseases / Approximately €130 million for the ...

This repository is provided as a tutorial for the implementation of integration algorithms of first and second order ODEs through recurrent neural networks in Python. The first order example ...

Abstract This paper presents a single variable new first-order shear deformation plate theory with only one fourth-order partial governing differential equation. It may be noted that, first-order ...

1906 Topics equation, differential, equations, solution, integral, linear, method, sin, general, arbitrary, differential equations, differential equation, general solution, partial differential, ...

In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one-dimensi ...

1, Some mathematical preliminaries. 2, Itô integrals. 3, The Itô formula and the martingale representation theorem. 4, Stochastic differential equations. 5, The filtering problem. 6, Diffusions : ...