Results 1 to 10 of about 207 (177)
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
doaj +2 more sources
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
doaj +2 more sources
Superconvergence Points of Fractional Spectral Interpolation [PDF]
SIAM Journal of Scientific Computing, 2016 We investigate superconvergence properties of the spectral interpolation involving fractional derivatives. Our interest in this superconvergence problem is, in fact, twofold: when interpolating function values, we identify the points at which fractional derivatives of the interpolant superconverge; when interpolating fractional derivatives, we locate ...
Zhimin Zhang
exaly +4 more sources
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
doaj +5 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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Global superconvergence for Maxwell’s equations [PDF]
Mathematics of Computation, 1999 In this paper, the global superconvergence is analysed on two schemes (a mixed finite element scheme and a finite element scheme) for Maxwell’s equations in R 3
Qun Lin 0001, Ningning Yan
openaire +2 more sources
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
doaj +1 more source