Results 51 to 60 of about 8,945 (319)
Genetic programming approaches for solving elliptic partial differential equations
, 2008 In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
core +1 more source
Journal of Inequalities and Applications, 2006 Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications.
Takaŝi Kusano +2 more
doaj
New Periodic Solutions for a Class of Zakharov Equations
Advances in Mathematical Physics, 2016 Through applying the Jacobian elliptic function method, we obtain the periodic solution for a series of nonlinear Zakharov equations, which contain Klein-Gordon Zakharov equations, Zakharov equations, and Zakharov-Rubenchik equations.
Cong Sun, Shuguan Ji
doaj +1 more source
A 3D‐Printed Blister Test Platform for Quantifying Biointerface Adhesion Mechanisms
Advanced Materials Interfaces, EarlyView.A 3D‐printed blister platform enables energy‐resolved characterization of soft hydrogel–rigid interfaces. Integrating precision pressure control with hyperelastic modeling directly quantifies adhesion energy (G) and R‐curve toughening. Results reveal that modulating hydrogel concentration and surface roughness drives a tunable transition from cohesive ...
Yoontae Kim +4 more
wiley +1 more source
Spectral properties of non-local uniformly-elliptic operators [PDF]
, 2006 In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds +3 more
core
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
, 2007 Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core +1 more source
New Jacobi Elliptic Function Solutions for the Zakharov Equations
Journal of Applied Mathematics, 2012 A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
doaj +1 more source
Results in Physics, 2018 In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu +2 more
doaj +1 more source
Advanced Design for Weakly Coupled Resonators by Automatic Active Optimization
Advanced Materials Technologies, EarlyView.An Automatic Active Optimization (AAO) strategy integrates machine learning predictors and genetic algorithms in a closed‐loop workflow. By iteratively expanding its dataset with new discoveries, AAO overcomes the limits of conventional methods. This approach finds superior microstructural designs beyond the initial sample space. We demonstrate this on
Wei Yue +8 more
wiley +1 more source
Positive solutions of nonlinear elliptic equations
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, S.P., Yeh, C.C., Wong, F.H.
openaire +3 more sources