Nonlinear differential equations are mathematical equations that describe the relationship between a function and its derivatives, where the function is not linear. These equations are crucial in ...

Nonlinear differential equations are mathematical equations that describe various phenomena in physics, engineering, and other fields. These equations often model complex systems where the output ...

The aim of this course is to provide an introduction to modern methods for studying nonlinear partial differential equations. The content of the course, which can change from time to time, is built ...

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

A Julia package for solving nonlinear differential equations using the harmonic balance method.

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 ...

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

The clssical filleting and prediclion problem is re-examined using the Bode-Shannon representation of random processes and the ¿stat-tran-sition¿ method of analysis of dynamic systems. New result are: ...

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 ...

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 ...

Data assimilation (DA) is a mathematical family of methods that allows the combination of observations and models. The model is used to fill observational gaps, and ...

Aspiring participants of the GATE 2025 Biotechnology (BT) exam must go through the syllabus of Biotechnology (BT). The detailed syllabus for GATE 2025 Biotechnology is made available by IIT Roorkee ...