A time-spectral method for initial-value problems using a novel spatial subdomain scheme

اسناد مشابه

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  سند علمی۲۰۰۲Matthew Collins

  Any initial value forecast of climate will be subject to errors originating from poorly known initial conditions, model imperfections, and by “chaos” in the sense that, even if the initial conditions were perfectly known, infinitesimal errors can amplify and spoil the forecast at

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  Domain theory has been used with great success in providing a semantic framework for Turing computability, over both discrete and continuous spaces. On the other hand, classical approximation theory provides a rich set of tools for computations over real functions with (mainly) p

• Spectral Methods for Periodic Initial Value Problems with Nonsmooth Data

  سند علمی۱۹۹۳PRAVIR K. DUTT, A. K. SINGH, P. K. DUTT

  In this paper we consider hyperbolic initial value problems subject to periodic boundary conditions with nonsmooth data. We show that if we filter the data and solve the problem by the Galerkin-Collocation method, recently proposed by us, then we can recover pointwise values with

• Time-Spectral Solution of Initial-Value Problems—Subdomain Approach

  مقاله‌ی دسترسی آزاد۲۰۱۲American Journal of Computational MathematicsJanScheffel, Ahmed A.Mirza

• A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems

  سند علمی۲۰۱۳J. Applied MathematicsA. Karimi Dizicheh, Fudziah Bt. Ismail, M. Tavassoli Kajani, Mohammad Maleki

  In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass collocation points of the Legen

• Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations

  سند علمی۲۰۱۵SIAM J. Numerical AnalysisZhongqiang Zhang, Fanhai Zeng, George E. Karniadakis

  We present optimal error estimates for spectral Petrov–Galerkin methods and spectral collocation methods for linear fractional ordinary differential equations with initial value on a finite interval. We also develop Laguerre spectral Petrov–Galerkin methods and collocation method