We will present stochastic dynamical models via stochastic differential equations and study existence and uniqueness of solutions, linear stochastic differential equations, theory for diffusion ...

In particular, we incorporate a stochastic noise term in the original equation, and systematically characterize the uncertainty. The model is a stochastic differential equation with mean reverting ...

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

To model the signal, we utilize established models for the inphase and quadrature components, employing stochastic differential equations (SDEs) to capture the continuous-time statistical properties ...

We deal with the problem of bridging the gap between two scales in neuronal modeling. At the first (microscopic) scale, neurons are considered individually and their behavior described by stochastic ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

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 ...

This course gives an introduction to numerical methods for solving problems in physics and chemistry, i.e. methods for solving ordinary and partial differential equations, matrix operations and ...

Stochastic modelling is the development of mathematical models for non-deterministic physical systems, which can adopt many possible behaviours starting from any given initial condition. Monte ...

They work through the list to rule in and rule out which diagnosis is the best fit. This process is called "differential diagnosis." They may order additional tests or imaging to pinpoint the best ...

An economics bachelor’s degree will prepare you to collect and analyze information, monitor economic trends, and develop forecasts to guide industries in making critical decisions. Three Dynamic ...