Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is ( k + 3 / 2 ) $(k+3/2)$ th-order superconvergent to a particular projection ...
Hui Bi, Chengeng Qian
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Reinforcement of Cathode Interface Using a Dipolar Small Molecule for Enhancing Operational Stability of Perovskite Solar Cells. [PDF]
Adv Sci (Weinh)We report a high‐dipole interlayer, MQPPO, that simultaneously improves efficiency and stability in perovskite solar cells. Its strong interfacial dipole enhances photovoltaic performance, while its uniform coverage and strong interaction with Ag effectively suppress AgI formation, ensuring long‐term stability under moisture and thermal stress.
Lee DH +11 more
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High-Performance PbSe Quantum Dots with Palmitoyl Chloride and Their Application to Short-Wavelength Infrared Photodetector Devices. [PDF]
Small MethodsComparison data of the absorption spectra of PbSe quantum dots with and without palmitoyl chloride (PalCl) treatment, and the external quantum efficiency (EQE) spectrum of a photodetector device based on PalCl‐treated quantum dots. Abstract Quantum dots (QDs), particularly those in the short‐wavelength infrared (SWIR) range, have garnered significant ...
Seo H +7 more
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Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems [PDF]
Journal of Inequalities and Applications, 2017 In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem.
Yuelong Tang, Yuchun Hua
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Pan-Variant SARS-CoV-2 Vaccines Induce Protective Immunity by Targeting Conserved Epitopes. [PDF]
Adv Sci (Weinh)An integrative approach identifies conserved B‐cell and T‐cell epitopes within SARS‐CoV‐2 proteins, redirecting immune responses from variable to conserved regions. These epitopes elicit robust humoral and cellular immunity, neutralizing diverse viral variants. Promiscuous T‐cell epitopes demonstrate cross‐species efficacy, highlighting their potential
Shah M +5 more
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Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation [PDF]
Quantum, 2022 We propose a simple quantum algorithm for simulating highly oscillatory quantum dynamics, which does not require complicated quantum control logic for handling time-ordering operators.
Dong An, Di Fang, Lin Lin
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Convergence of Collocation Methods for One Class of Impulsive Delay Differential Equations
Axioms, 2023 This paper is concerned with collocation methods for one class of impulsive delay differential equations (IDDEs). Some results for the convergence, global superconvergence and local superconvergence of collocation methods are given.
Zhiwei Wang, Guilai Zhang, Yang Sun
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Spectral approximation methods for Fredholm integral equations with non-smooth kernels
Mathematical Modelling and Analysis, 2022 In this paper, polynomially based projection and modified projection methods for approximating the solution of Fredholm integral equations with a kernel of Green’s function type are studied.
Chafik Allouch +2 more
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Journal of Mathematics, 2021 The classical composite midpoint rectangle rule for computing Cauchy principal value integrals on an interval is studied. By using a piecewise constant interpolant to approximate the density function, an extended error expansion and its corresponding ...
Chunxiao Yu, Lingling Wei
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Mathematics, 2023 Integral equations play an important role for their applications in practical engineering and applied science, and nonlinear Urysohn integral equations can be applied when solving many problems in physics, potential theory and electrostatics, engineering,
Sara Remogna +2 more
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