Asymptotic error analysis of an IMEX Runge–Kutta method
نویسندگان
چکیده
منابع مشابه
Asymptotic Error Analysis of the Adaptive Verlet Method
The Adaptive Verlet method 7] and variants 1] are time-reversible schemes for treating Hamiltonian systems subject to a Sundman time transformation. These methods have been observed in computer experiments to exhibit superior numerical stability when implemented in a counterintuitive \reciprocal" formulation. Here we give a theoretical explanation of this behavior by examining the leading terms...
متن کاملan infinite planar array of rectangular microstrip patch antenna analysis
the methods which are used to analyze microstrip antennas, are divited into three categories: empirical methods, semi-empirical methods and full-wave analysis. empirical and semi-empirical methods are generally based on some fundamental simplifying assumptions about quality of surface current distribution and substrate thickness. thses simplificatioms cause low accuracy in field evaluation. ful...
15 صفحه اولAnalysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling
In this paper, some theoretical aspects will be addressed for the asymptotic preserving DG-IMEX schemes recently proposed in [10] for kinetic transport equations under a diffusive scaling. We will focus on the methods that are based on discontinuous Galerkin (DG) spatial discretizations with the P k polynomial space and a first order IMEX temporal discretization, and apply them to two linear mo...
متن کاملAsymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension*
In this article, we analyze a recently-presented scheme for singularly-perturbed systems of balance laws, the so-called Reference Solution Implicit Explicit scheme. RS-IMEX scheme’s bottom-line is to use the Taylor expansion of the flux function and the source term around a reference solution (typically the asymptotic limit or an equilibrium solution) to decompose the flux and the source into s...
متن کاملAn application of Measurement error evaluation using latent class analysis
Latent class analysis (LCA) is a method of evaluating non sampling errors, especially measurement error in categorical data. Biemer (2011) introduced four latent class modeling approaches: probability model parameterization, log linear model, modified path model, and graphical model using path diagrams. These models are interchangeable. Latent class probability models express l...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2018
ISSN: 0377-0427
DOI: 10.1016/j.cam.2018.04.044