How smart polymer solutions transition to gels around body temperature

In the world of modern medicine, most people focus on the active pharmaceutical ingredients, which are the chemicals that ...
C&EN

Neural Ordinary Differential Equation and Supervised Gated Recurrent Units Embedded with Historical Variables for Petrochemical Process Prediction

Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China ...
archive

Partial Differential Equations

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GitHub

Integro-differential equation with 2 variables (but 1D integral)

I'm currently trying to apply DeepXDE to a certain type of integro-differential equation. Although all integrals are 1-dimensional, I'm having difficulties because ...
GitHub

[time-scale separation] Adaptive step size for different variables?

In some scenarios, the different variables in a differential equation can have vastly different time-scales at which dynamics occurs. This is why often, it can be useful to select different ...
Scientific American

These Are the Most Beautiful Equations, according to Mathematicians

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...
IEEE

Continuous Variables Quantum Algorithm for Solving Ordinary Differential Equations

Abstract: Solving Ordinary Differential Equations (ODE) is important for a broad range of domains, such as engineering, weather forecast, and finance. Most quantum algorithms proposed to solve them ...