Results 11 to 20 of about 4,651 (187)
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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Colloidal InSb Quantum Dots for 1500 nm SWIR Photodetector with Antioxidation of Surface. [PDF]
Adv Sci (Weinh)High‐quality InSb quantum dots(QDs) are synthesized using indium‐carboxylate and tris(trimethylsilyl)antimony(TMS‐Sb) precursors. To mitigate surface oxidation, InCl3 is added as a co‐precursor, inducing the presence of Cl‐ ions that function as a protective layer on the QD surface.
Seo H +5 more
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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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Superconvergence for Multistep Collocation [PDF]
Mathematics of Computation, 1989 One-step collocation methods are known to be a subclass of implicit Runge-Kutta methods. Further, one-leg methods are special multistep one-point collocation methods. In this paper we extend both of these collocation ideas to multistep collocation methods with k previous meshpoints and m collocation points. By construction, the order is at least
Lie, Ivar, Nørsett, Syvert P.
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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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上海师范大学学报. 自然科学版, 2021 In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun +5 more
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Legendre Superconvergent Degenerate Kernel and Nystrom Methods for Fredholm Integral Equations [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, polynomial-based superconvergent degenerate kernel and {Nyström} methods for solving {Fredholm} integral equations of the second kind with the smooth kernel are studied.
Bouda Hamza +2 more
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On superconvergence techniques [PDF]
Acta Applicandae Mathematicae, 1987 A brief survey with a bibliography of superconvergence phenomena in finding a numerical solution of differential and integral equations is presented. A particular emphasis is laid on superconvergent schemes for elliptic problems in the plane employing the finite element method.
Křížek, Michal, Neittaanmäki, Pekka
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Computation, 2023 In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
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