The course is the basic course in the theory of ordinary differential equations (ODE) with examples of mathematical modelling with ODE from physics, chemistry, environmental problems. In the ...

The study of wave phenomena by means of mathematical models often leads to a certain class of nonlinear partial differential equations referred to as integrable systems. My main area of research deals ...

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

using a mathematical framework such as ordinary differential equations (ODEs), partial differential equations (PDEs), and others. A model with any number of variables or parameters was considered ...

Numerical methods for differential equations are essential tools in applied mathematics ... These equations are crucial for modeling transport processes in materials that exhibit sub-diffusive ...

introducing a new formulation similar to the Hull-White model in financial mathematics. In particular, we incorporate a stochastic noise term in the original equation, and systematically characterize ...

have a thorough understanding of stochastic methods that are in-between mathematical analysis and probability theory know how to use the fundamental tools in stochastic analysis be familiar with ...

Are material improvements enough to stabilize prices? Integrating computational chemistry with econophysics offers new ways ...

Abstract: Problems involving the classical linear partial differential equations of mathematical physics can be reduced to algebraic ones of a very much simpler structure by replacing 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 ...

Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, NY 10012, USA ...

Feb. 5, 2025 — A study by economists shows a wide gap between the kinds of math problems kids who work in retail markets do well and the kinds of problems kids in school do ...