Results 111 to 120 of about 55,209 (306)
Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation [PDF]
, 2013 Fractional-order dynamics in physics, particularly when applied to diffusion, leads to an extension of the concept of Brownian motion through a generalization of the Gaussian probability function to what is termed anomalous diffusion.
Liu, Fawang +7 more
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Peano's Theorem for Implicit Differential Equations
Journal of Mathematical Analysis and Applications, 2001 The author proves an existence result for the Cauchy problem \[ F(t,x,x', \ldots,x^{(m)})=0,\quad x(0)=x_0,x'(0)=x_1, \ldots, x^{(m-1)}(0)=x_{m-1}, \] with \(m \in {\mathbb N}\). He looks for solutions in the Lipschitz sense and gives an example where there exist no classical solutions.
openaire +2 more sources
Phase Diagrams Enable Solid‐State Battery Design
Advanced Materials Interfaces, EarlyView.Batteries are non‐equilibrium devices with inherent thermodynamic driving forces to react at interfaces, regardless of kinetics or operating conditions. Chemical potential mismatches across interfaces are dissipated via interfacial reactions. In this work, it is illustrated how phase diagrams and chemical potential maps predict degradation pathways but
Nathaniel L. Skeele, Matthias T. Agne
wiley +1 more source
RANS Computation of Low Speed Turbulent Flow in Complex Configuration [PDF]
An implicit finite volume algorithm based on the numerical solution of Reynolds Averaged Navier stokes (RANS) equation is presented for prediction of incompressible turbulent flow in and around complex configuration.
Mohan, Sripathi +3 more
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A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source
The Alternating Segment Explicit-Implicit scheme for the dispersive equation
, 2001 In this paper, we present the Alternating Segment Explicit-Implicit scheme for the dispersive equation. The scheme is unconditionally stable and is capable of parallelism.
Zhu, Shaohong, Zhao, Jennifer
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Implicit numerical schemes for the stochastic Liouville equation in Langevin form [PDF]
, 2011 We present and numerically test implicit as well as explicit numerical schemes for solving the Stochastic Liouville Equation in Langevin form. It is found that implicit schemes provide significant gain in robustness, for example, when nonsecular ...
Håkansson, Pär +3 more
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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
Implicit methods for the simple wave equation
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
core
Recent Advances of Slip Sensors for Smart Robotics
Advanced Materials Technologies, EarlyView.This review summarizes recent progress in robotic slip sensors across mechanical, electrical, thermal, optical, magnetic, and acoustic mechanisms, offering a comprehensive reference for the selection of slip sensors in robotic applications. In addition, current challenges and emerging trends are identified to advance the development of robust, adaptive,
Xingyu Zhang +8 more
wiley +1 more source