Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables, and therefore have predictive power when it comes to complex physical ...

Last year, MIT developed an AI/ML algorithm capable of learning and adapting to new information while on the job, not just during its initial training phase. These “liquid” neural networks (in the ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

The use of neural networks to approximate optimal control variates is proposed in order to reduce the variance of Monte Carlo simulations for stochastic differential equations driven by Brownian ...

Runge-Kutta methods applied to stiff systems in singular perturbation form are shown to give accurate approximations of phase portraits near hyperbolic stationary points. Over arbitrarily long time ...

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations: Get here solutions for NCERT Class 12 Maths Chapter 9 for the 2025 exams. This article provides free pdf all exercise download link ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...