Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...

Cauchy Problem: A boundary value problem where both the function and its derivative are prescribed on part of the boundary, resulting in an ill-posed scenario. Helmholtz Equation: A partial ...

Second, average weighted fusion method is used to each of region. The weighting factors are constructed based on the local energy and the fuzzy similarity measure defined by Cauchy function [9] .The ...

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations. It is self-contained and unified in presentation, and ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

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

Formula E is set to get a lot faster with the introduction of the GEN3 Evo, the quickest accelerating FIA single-seater race car – Capable of 0-60mph in 1.82 seconds (0-100kph in 1.86s). Set to race ...

Python support for Azure Functions is based on Python 3.8, 3.9, 3.10, 3.11, and 3.12 serverless hosting on Linux and the Functions 4.0 runtime.