Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

A special focus of the article is on the fact that the fabric of Maxwell's equations allows for quantization of charges. When Thomson discovered electrons, it was proved that electric flux is ...

Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables ...

Class 12th Mathematics Syllabus 2025: The CBSE Class 12 Mathematics Board Exam 2025 is scheduled to be conducted on March 8, 2025 (Saturday).With the exam approaching, having a clear understanding ...

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

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

It utilizes the Yee grid discretization to solve Maxwell's equations in a time-domain manner, allowing for the visualization of wave propagation and interaction with various materials and geometries.

Intracellular signaling pathways and reaction networks are conventionally modeled analytically using ordinary differential equations. This paper demonstrates nicely how a statistical approach, ...

The course gives a thorough introduction to Maxwell´s equations, and how to use them to derive the characteristics of electromagnetic waves.