Results 51 to 60 of about 327,371 (280)
Higher-order compact finite difference method for systems of reaction–diffusion equations
Journal of Computational and Applied Mathematics, 2009 The Dirichlet problem for a semilinear spatially two-dimensional system of reaction-diffusion equations is considered. The authors propose and analyze a compact difference scheme for existence and uniqueness of solution, furthermore for convergence properties of three iterative procedures for solving the discretized system.
Wang, Yuan-Ming, Zhang, Hong-Bo
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, 1998 We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations).
Eckmann, Jean-Pierre +2 more
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MOFs and COFs in Electronics: Bridging the Gap between Intrinsic Properties and Measured Performance
Advanced Functional Materials, EarlyView.Metal‐organic frameworks (MOFs) and covalent organic frameworks (COFs) hold promise for advanced electronics. However, discrepancies in reported electrical conductivities highlight the importance of measurement methodologies. This review explores intrinsic charge transport mechanisms and extrinsic factors influencing performance, and critically ...
Jonas F. Pöhls, R. Thomas Weitz
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Advanced Functional Materials, EarlyView.A chiral photodetector capable of selectively distinguishing left‐ and right‐handed circularly polarized light is experimentally demonstrated. The device, which features a nanopatterned electrode inverse‐designed by a genetic algorithm within a metal–dielectric–metal nanocavity that incorporates a vacuum‐deposited small‐molecule multilayer, exhibits ...
Kyung Ryoul Park +3 more
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Advances in Difference Equations, 2018 In the publication of this article [1], there is an error in one of the authors’ name. This has now been included in this correction.
Rongpei Zhang +3 more
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Atomic‐Scale Light Coupling Control in Ultrathin Photonic Membranes
Advanced Functional Materials, EarlyView.Ultrathin photonic nanomembranes provide atomic‐scale control over the coupling between incident light and high‐Q photonic modes, enabling angstrom‐level resonance tuning and strong field confinement. When integrated with TMD monolayers, they further yield enhanced light–matter interactions, offering a versatile platform for advancing quantum photonics,
Chih‐Zong Deng +8 more
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Axioms, 2023 This article proposes a family of non-standard methods coupled with compact finite differences to numerically integrate the non-linear Burgers’ equation.
Komalpreet Kaur, Gurjinder Singh
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Improved finite difference method with a compact correction term for solving Poisson’s equations [PDF]
Numerical Heat Transfer, Part B: Fundamentals, 2016 An improved finite difference method with compact correction term is proposed to solve the Poisson equations. The compact correction term is developed by a coupled high-order compact and low-order classical finite difference formulations. The numerical solutions obtained by the classical finite difference method are considered as fundamental solutions ...
Zhang, Kun, Wang, Liangbi, Zhang, Yuwen
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Meta‐Rod Mechanical Metamaterials With Programmable Reconfiguration
Advanced Functional Materials, EarlyView.Existing mechanical metamaterials achieve programmable large deformations in planar square or cubic configurations, restricted by required complex boundary conditions. This research proposes a 1D metamaterial, Meta‐rod, with linear, bending, twisting, area, and volume deformation modes.
Atharva Pande, Lyes Kadem, Hang Xu
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Advances in Difference Equations, 2020 This paper presents two high-order exponential time differencing precise integration methods (PIMs) in combination with a spatially global sixth-order compact finite difference scheme (CFDS) for solving parabolic equations with high accuracy.
Changkai Chen +3 more
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