Results 91 to 100 of about 76,470 (160)

Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.
ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley   +1 more source

Stable Model Reduction for Time‐Domain Room Acoustics: A Structure‐Preserving Formulation for Complex Boundaries

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu, Hermes Sampedro Llopis, Solvi Thrastarson, Finnur Pind, Runar Unnthorsson   +4 more
wiley   +1 more source

Solution of the KdV equation with fractional time derivative via variational method

Electronic Journal of Differential Equations, 2014
This article presents a formulation of the time-fractional generalized Korteweg-de Vries (KdV) equation using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense. It finds an approximate solitary wave solution, and shows
Youwei Zhang
doaj  

Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley   +1 more source

Optimizing Variational Problems through Weighted Fractional Derivatives

Fractal and Fractional
In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
doaj   +1 more source

Optimal Nanoparticle Size in SiO₂/Al₂O₃‐Water Nanofluids for Enhancing Intercooler Thermal Enhancement: A Conjugate Heat Transfer Study

Energy Science &Engineering, Volume 14, Issue 3, Page 1387-1397, March 2026.
The simulation shows that the comprehensive heat transfer effect of using nanofluids as cooling liquid is greater than 1.30 nm SiO2/water and 40 nmAl2O3/water nanofluids have the best heat transfer enhancement effect, while all nanofluids of 30 nm Al2O3/water have the best heat transfer enhancement effect.
Bing Dai, Jingqi Yin, Juhui Chen, Tao Xu, Michael Zhurakov, Siarhei Lapatsin, Wenrui Jiang   +6 more
wiley   +1 more source

Global solutions to a one-dimensional nonlinear wave equation derivable from a variational principle

Electronic Journal of Differential Equations, 2017
This article focuses on a one-dimensional nonlinear wave equation which is the Euler-Lagrange equation of a variational principle whose Lagrangian density involves linear terms and zero term as well as quadratic terms in derivatives of the field.
Yanbo Hu, Guodong Wang
doaj  

The von Neumann Stability Analysis of the Fixed‐Stress Schemes in Poroelastodynamics

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 4, Page 1939-1951, March 2026.
ABSTRACT We investigate splitting schemes based on the fixed‐stress sequential approach for poroelastodynamic problems. To assess numerical stability, we perform the von Neumann stability analysis on several fixed‐stress schemes for poroelastodynamics, including staggered, stabilized, and iterative methods. Our analysis reveals that while the staggered
Jihoon Kim, Sanghyun Lee, Mary F. Wheeler   +2 more
wiley   +1 more source

Three‐Dimensional Simulation of Crack Initiation in ice Shelves at Pinning Points

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Ice shelves are large ice masses floating on the ocean that are still connected to the inland ice of a glacier. Due to high elevations in the bathymetry, the ice shelf can be partially grounded. These areas are called ice rises that act as pinning points.
Rabea Sondershaus, Angelika Humbert, Ralf Müller   +2 more
wiley   +1 more source