This research couples differential equations with ... employs a symmetric system of time-domain boundary integral equations and utilizes convolution quadrature for the boundary integral equations ...

Backward differentiation formula (BDF): A numerical method used for solving ordinary differential equations, particularly effective for stiff equations. Convolution quadrature (CQ): A numerical ...

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

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 ...

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 ...

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 ...

Solving a set of coupled partial differential equations is an arduous task ... This assumption allows us to use the convolution equation, i.e., Eq. 33, rather than the superposition integral, i.e., Eq ...

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 ...

In a mesmerising blend of art and mathematics, a research student from University College London (UCL) has recently gained widespread attention for creating intricate images solely through ...

RIT’s microelectronic engineering degree combines electrical engineering with courses in semiconductor materials, processes, and devices that enable the creation of microchips. A Reputation for ...

65-73, 1980. The original paper had no abstract, so this reprint to be truthful to the original work is published with no abstract. Mathematical subject classification: 35J25, 35Q60, 47F05, 86A20, ...

Ion atmospheres play a critical role in modulating the interactions between charged components in solutions. However, a detailed description of the nature of ion atmospheres remains elusive. Here, we ...