Results 91 to 100 of about 51,978 (203)
The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations
International Journal for Numerical Methods in Fluids, Volume 97, Issue 11, Page 1426-1440, November 2025.Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas +9 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
Variational Analysis, PDEs and Mathematical Economics Tribute to Antonino Maugeri [PDF]
, 2019 Michel Théra
openalex
A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore +3 more
wiley +1 more source
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 26, Page 4401-4424, 7 November 2025.Abstract Most post‐disaster damage classifiers perform best when destructive forces leave clear spectral or structural signatures. However, these signatures are often subtle or absent after inundation, where damage may be nonstructural and difficult to detect.
Yu‐Hsuan Ho, Ali Mostafavi
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley +1 more source
Novel Soliton and Periodic Wave Solutions of the (3+1)-Dimensional Shallow Water Wave Equation with Bifurcation Analysis. [PDF]
Sci RepHasan WM +4 more
europepmc +1 more source
Mixing Data‐Driven and Physics‐Based Constitutive Models Using Uncertainty‐Driven Phase Fields
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT There is a high interest in accelerating multiscale models using data‐driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational cost of producing this data quickly becomes a limiting factor.
Joep Storm +3 more
wiley +1 more source
Exploring the exact solutions to the nonlinear systems with neural networks method. [PDF]
Sci RepMuhammad J +3 more
europepmc +1 more source