THIS book gives a connected account of the author's researches on the algebraic side of the theory of differential equations and forms a welcome addition to the literature of the subject ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the ...

The course gives an introduction to analytical techniques for partial differential equations, in particular to separation of variables. In addition the course treats qualititative properties of ...

Mathematical modelling and real-time microfluidics-based measurements of nuclear shuttling dynamics of the transcription factor EB (TFEB) demonstrate its biphasic nature in response to nutrient ...

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

First, let's define a second order riff on the Lorenz equations, symbolically lower it to a first order system, symbolically generate the Jacobian function for the numerical integrator, and solve it.