Shocks, superconvergence, and a stringy equivalence principle [PDF]
Journal of High Energy Physics, 2020 We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks ...
Murat Koloğlu +3 more
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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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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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Superconvergence of finite element method for parabolic problem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We study superconvergence of a semi-discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition.
Do Y. Kwak, Sungyun Lee, Qian Li
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Superconvergence and error estimation of finite element solutions to fire-exposed frame problems [PDF]
, 2000 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.When a fire reaches the point of flashover the hot gases inside the burning room ignite resulting in furnace-like conditions.
Kirby, James Alexander
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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
europepmc +2 more sources
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
europepmc +2 more sources
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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