Results 51 to 60 of about 281 (113)

A Kolmogorov–Arnold Surrogate Model for Chemical Equilibria: Application to Solid Solutions

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract The computational cost of geochemical solvers is a challenging matter. For reactive transport simulations, where chemical calculations are performed up to billions of times, it is crucial to reduce the total computational time. Existing publications have explored various machine learning approaches to determine the most effective data‐driven ...
Leonardo Boledi, Dirk Bosbach, Jenna Poonoosamy   +2 more
wiley   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Deep Energy Method for Large Deformation Analysis of Isotropic and Inhomogeneous Hyperelastic Ellipsoidal Pressurized Structures

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The accurate prediction of displacement and stress fields in pressure vessels is essential for the safe and reliable design of these structures, particularly when dealing with nonlinear behavior such as that of hyperelastic functionally graded materials (FGMs).
Nasser Firouzi, Shaofan Li, Timon Rabczuk   +2 more
wiley   +1 more source

Physics-Informed Neural Networks with Unknown Partial Differential Equations: An Application in Multivariate Time Series. [PDF]

Entropy (Basel)
Mortezanejad SAF, Wang R, Mohammad-Djafari A.   +2 more
europepmc   +1 more source

Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks. [PDF]

KDD
Liu Z, Wang X, Wang B, Huang Z, Yang C, Jin W.   +5 more
europepmc   +1 more source

A neural network-based PDE solving algorithm with high precision. [PDF]

Sci Rep, 2023
Jiang Z, Jiang J, Yao Q, Yang G.
europepmc   +1 more source

Entropy in Exact 2D Navier-Stokes and 3D Burgers Gas Flows. [PDF]

Entropy (Basel)
Broadbridge P.
europepmc   +1 more source

Analytical insights and physical behavior of solitons in the fractional stochastic Allen-Cahn equations using a novel method. [PDF]

Sci Rep
Nazari-Golshan A.
europepmc   +1 more source

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M.   +3 more
europepmc   +1 more source

Optical neural engine for solving scientific partial differential equations. [PDF]

Nat Commun
Tang Y, Chen R, Lou M, Fan J, Yu C, Nonaka A, Yao Z, Gao W.   +7 more
europepmc   +1 more source