Results 111 to 120 of about 52,350 (200)

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

On the convergence of monotone schemes for path-dependent PDE

, 2016
We propose a reformulation of the convergence theorem of monotone numerical schemes introduced by Zhang and Zhuo for viscosity solutions of path-dependent PDEs, which extends the seminal work of Barles and Souganidis on the viscosity solution of PDE.
Ren, Zhenjie, Tan, Xiaolu
core   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

A Mathematical Model for Two‐Phase Flow in Confined Environments: Numerical Solution and Validation

International Journal for Numerical Methods in Fluids, Volume 98, Issue 3, Page 306-320, March 2026.
We present a numerical framework based on the Cahn‐Hilliard‐Navier‐Stokes (CHNS) model to simulate biphasic flow in confined environments. After deriving the mathematical model, we develop the weak form of the system of PDEs using a pedagogical approach to enable its implementation in FEniCS.
Giuseppe Sciumè, Haohong Pi, Abdelaziz Omari, Thomas Lavigne   +3 more
wiley   +1 more source

Temperature Effects on Nonlinear Vibration Behaviors of Euler-Bernoulli Beams with Different Boundary Conditions

Shock and Vibration, 2018
This paper is concerned with temperature effects on the modeling and vibration characteristics of Euler-Bernoulli beams with symmetric and nonsymmetric boundary conditions.
Yaobing Zhao, Chaohui Huang
doaj   +1 more source

Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
wiley   +1 more source

First‐Order Empirical Interpolation Method for Real‐Time Solution of Parametric Time‐Dependent Nonlinear PDEs

Numerical Methods for Partial Differential Equations
ABSTRACTWe present a model reduction approach for the real‐time solution of time‐dependent nonlinear partial differential equations (PDEs) with parametric dependencies. A major challenge in constructing efficient and accurate reduced‐order models for nonlinear PDEs is the efficient treatment of nonlinear terms.
openaire   +2 more sources

An Efficient Multi‐Physics GPT‐PINN Framework for Predicting Reactive Solute Transport in Parameterized Groundwater Systems

Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Modeling coupled groundwater flow and reactive transport for multi‐query tasks is computationally prohibitive, and standard Physics‐Informed Neural Networks (PINNs) require costly retraining for each new parameter. We introduce the Multi‐Physics Generative Pre‐trained PINN (MP‐GPT‐PINN), a meta‐learning framework to resolve this bottleneck ...
Zhiyu Jiao, Xiaobin Zhu, Guiyao Xiong, Shaoxing Mo, Yinquan Meng, Jianfeng Wu, Jichun Wu   +6 more
wiley   +1 more source

Hyper‐Reduced Model Based on the Proper Orthogonal Decomposition and the LU Factorization Applied to the Neutron Diffusion Eigenvalue Problem

International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.
ABSTRACT An efficient method for solving large eigenvalue problems efficiently can be developed using hyper‐reduced order models, such as those arising from the LU Proper Orthogonal Decomposition (LUPOD). The LUPOD employs dominant orthogonal modes along with a flexible number of collocation points to establish a reduced scalar product, thereby ...
A. Vidal‐Ferràndiz, A. Carreño, E. Javaloyas, D. Ginestar, G. Verdú   +4 more
wiley   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, Volume 5, Issue 2, February 2026.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source