Results 41 to 50 of about 54,046 (227)
Advanced Science, EarlyView.A systematic computational framework is developed for practical identifiability analysis in biological models. The framework establishes a rigorous definition, introduces efficient coordinate‐based identifiability metrics, and proposes novel regularization strategies.
Shun Wang, Wenrui Hao
wiley +1 more source
Backstepping Control of the One-Phase Stefan Problem
, 2016 In this paper, a backstepping control of the one-phase Stefan Problem, which is a 1-D diffusion Partial Differential Equation (PDE) defined on a time varying spatial domain described by an ordinary differential equation (ODE), is studied. A new nonlinear
Diagne, Mamadou +3 more
core +1 more source
Advanced Science, EarlyView.This research introduces an augmented matrix‐based DNA molecular neural network to achieve molecular‐level solving of biological Brusselator PDEs. Crucial innovations include: (i) an augmented matrix‐based DNA molecular neural network, enabling multidimensional parameter integration through DNA strand displacement cascades and iterative weight ...
Yijun Xiao +5 more
wiley +1 more source
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces [PDF]
, 2015 The paper studies a method for solving elliptic partial differential equations posed on hypersurfaces in $\mathbb{R}^N$, $N=2,3$. The method allows a surface to be given implicitly as a zero level of a level set function.
Olshanskii, Maxim A., Safin, Danil
core
, 2005 Lambda-symmetries of ODEs were introduced by Muriel and Romero, and discussed by C. Muriel in her talk at SPT2001. Here we provide a geometrical characterization of lambda-prolongations, and a generalization of these -- and of lambda-symmetries -- to ...
Gaeta, G.
core +2 more sources
Advanced Energy Materials, EarlyView.The review highlights the multifunctional capabilities of thermoelectric sensors integrated with advanced features such as biocompatibility, advanced integration, self‐healing, and environmental adaptability. Emphasizing sustainability and adaptability, these sensors offer enhanced durability, increased efficiency, reduced waste, and seamless ...
Neeraj Dhariwal +9 more
wiley +1 more source
On two aspects of the Painleve analysis
, 2013 We use the Calogero equation to illustrate the following two aspects of the Painleve analysis of nonlinear PDEs. First, if a nonlinear equation passes the Painleve test for integrability, the singular expansions of its solutions around characteristic ...
Sakovich, Sergei
core +2 more sources
Maximum Norm Analysis of a Nonmatching Grids Method for Nonlinear Elliptic PDES
Journal of Applied Mathematics, 2011 We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on two overlapping subdomains with nonmatching grids.
A. Harbi, M. Boulbrachene
semanticscholar +1 more source
Advanced Intelligent Systems, EarlyView.This perspective article considers what computations optical computing can and should enable. Focusing upon free‐space optical computing, it argues that a codesign approach whereby materials, devices, architectures, and algorithms are simultaneously optimized is needed.
Prasad P. Iyer +6 more
wiley +1 more source
Mathematical Modeling and Computational Science [PDF]
, 2012 15 ...
Gheorghe Adam +2 more
openaire +4 more sources