The working mechanisms of complex natural systems tend to abide by concise partial
differential equations (PDEs). Methods that directly mine equations from data are called PDE …

Numerical simulation plays an important role in the dynamic analysis of multibody system.
With the rapid development of computer science, the numerical solution technology has …

Distilling equations from data can provide insights into physics systems, helping validate
theoretical modeling, infer unknown system properties, and explore indeterminate …

Partial differential equations provide accurate models for many physical processes, although
their derivation can be challenging, requiring a fundamental understanding of the modeled …

Extracting fundamental behavior patterns or governing equations from data can deepen our
understanding and insights into physical systems, it will lead to the better control and …

The classical numerical methods for differential equations are a well-studied field.
Nevertheless, these numerical methods are limited in their scope to certain classes of …

This paper mainly considers the parameter estimation problem for several types of
differential equations controlled by linear operators, which may be partial differential, integro …

Unveiling the underlying governing equations of nonlinear dynamic systems remains a
significant challenge. Insufficient prior knowledge hinders the determination of an accurate …

A model of plasma-forming gas flows in AC plasma torches was proposed for the range of
operating parameters typical for technologies for the synthesis of perspective materials. It …

The paper presents two effective methods for discovering process models in the form of
partial differential equations based on an evolutionary algorithm and an algorithm for the …