Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...

The method includes: establishing the control equations of the flow field around the vehicle based on aerodynamic theory, and converting them into a system ... matrix of the linear equations with the ...

In the context of intensifying competition in the global automotive industry, Chongqing Changan Automobile Co., Ltd. has once again drawn attention. Recently, the company announced a patent concerning ...

The story begins with the black hole information paradox. According to relativity, anything that falls into a black hole is ...

The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major ...

If the mention of algebra conjures bad memories of math classes, a Python library called SymPy could change your mind about ...

Can a cloud-based vision model compete with the big players? We put Qwen3-VL through 7 rigorous tests to find out.

The hidden arms race of AI supercomputers. Picture a data center on the edge of a desert plateau. Inside, row after row of ...

Abstract: A new three-term CG technique, known as (DHA), was suggested in this study to solve system of non-linear equations. This technique combines three different techniques: line search technique, ...

ORIGINAL MATRIX: [ [1.0000, 1.0000, 3.0000] [2.0000, 3.0000, 5.0000] ] RREF: [ [1.0000, 0.0000, 4.0000] [0.0000, 1.0000, -1.0000] ] RESULT: UNIQUE SOLUTION SOLUTION ...

Abstract: Physics-Informed Neural Networks (PINNs) have recently emerged as a powerful method for solving differential equations by leveraging machine learning techniques. However, while neural ...