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 ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

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 ...

Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, NY 10012, USA ...

Mathematics forms an important part of this exam that requires a strong foundation in various mathematical concepts. The UPSC NDA Maths syllabus is divided into various topics such as algebra, ...

We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or ...

A linear equation is drawn as a straight line ... These coordinates represent the relationship given in the equation. For example, for y = 3x, the y value is always equal to '3 lots' of the ...

STEP 1 - You can solve problems using linear sequences. For example, if I have £5 already and save £3 per week, how long before I have £20? A linear sequence goes from one term to the next by ...

They work through the list to rule in and rule out which diagnosis is the best fit. This process is called "differential diagnosis." They may order additional tests ... were eliminated—and why—is to ...

We illustrate the potential of our approach using a synthetic benchmark problem and a personalized electrophysiology model of the left atrium. We show that our new method outperforms linear ...

However, did you know a lot of the bots you have been using are actually examples of artificial intelligence? The bot has been designed to mimic human-like responses and perform a variety of tasks.

Hence, researchers often simulate the brain as a network of coupled neural masses, each described by a mean-field model. These models capture the essential features of neuronal populations while ...