Scientific Research Publishing

On Instability of Standing Waves for the Hartree Equation with a Magnetic Field ()

In this paper, we consider the strong instability of standing waves for the Hartree equation with a constant magnetic field.
Scientific Research Publishing

Natural Transform for Solving Fractional High Order Differential Equations ()

The natural transform (nt), a novel global method for solving fractional high-order differential equations (FDEs), is presented in this work. This technique functions as an all-encompassing integral ...
GitHub

GNODEVAE: A Graph-Based ODE-VAE Enhances Clustering of Single-Cell Data

GNODEVAE is a computational framework that integrates Graph Attention Networks (GAT), Neural Ordinary Differential Equations (NODE), and Variational Autoencoders (VAE). It targets three common ...
GitHub

Log Neural Controlled Differential Equations (ICML 2024)

This repository now supports Structured Linear Controlled Differential Equations (SLiCEs), which replace the non-linear vector fields of NCDEs and Log-NCDEs with structured linear vector fields, ...
IEEE

An Accurate and Efficient Recursive Convolution Method to Simulate Viscoacoustic and Viscoelastic Waves

Abstract: Seismic wavefield forward modeling in anelastic (attenuating) media is a fundamental tool for both data processing and interpretation in modern seismic exploration. We propose a generalized ...
Frontiers

Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations

The control of general nonlinear systems is a challenging task in particular for large-scale models as they occur in the semi-discretization of partial differential equations (PDEs) of, say, fluid ...
Europe PMC

Modeling Complex Pharmacokinetics of Long-Acting Injectable Products Using Convolution-Based Models With Nonparametric Input Functions.

J Clin Pharmacol. 2021 Aug; 61(8): 1081–1095. The availability of a model describing the time course of drug concentration profile is instrumental for implementing such a pharmacometric framework. The ...
Frontiers

FFT-Based Methods for Computational Contact Mechanics

Computational contact mechanics seeks for numerical solutions to contact area, pressure, deformation, and stresses, as well as flash temperature, in response to the interaction of two bodies. The ...