相关期刊:《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Journal of Ocean Engineering and Science》《Chinese Quarterly Journal of Mathematics》更多>>
Acknowledgments. The second author is supported by NSFC (Nos. 11571027, 91430215), by Beijing Nova Program (No. 2151100003150140) and by the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions (No. CIT&TCD201504012). The third author is supported by the Natural Science Foundation of Fujian Province of China (No.2013J05015), by NSFC (No.11301437), and by the Fundamental Research ~nds for the Central Universities (No. 20720150004).
This paper is concerned with the superconvergent points of the continuous Galerkin solutions for delay differential equations of pantograph type. We prove the local nodal superconvergence of continuous Galerkin soluti...
Acknowledgments. The authors are grateful to the referees for carefully reading the preliminary version of the manuscript. Their valuable suggestions largely improve the quality of this paper. The research is supported by the National Nature Science Foundation of China (No.10871078), 863 Program of China (No. 2009AA044501) and Postgraduate Innovation Fund of Huazhong University of Science and Technology (No. HF-08-02-2011-011).
This paper deals with the discontinuous Galerkin (DG) methods for delay differential equations. By an orthogonal analysis in each element, the superconvergence results of the methods are derived at nodal points and ...
The research of HB was supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada and by the Research Grants Council of Hong Kong;The research of TT was supported by Hong Kong Baptist University,the Research Grants Council of Hong Kong and he was supported in part by the Chinese Academy of Sciences while visiting its Institute of Computational Mathematics.
We propose a novel numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. A Legendre-collocation method is employed to obtain highly accurate numerical approx...
In this paper, a class of two-step continuity Runge-Kutta(TSCRK) methods for solving singular delay differential equations(DDEs) is presented. Analysis of numerical stability of this methods is given. We consider ...
This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of the...
Implicit Runge-Kutta method is highly accurate and stable for stiff initial value problem. But the iteration technique used to solve implicit Runge-Kutta method requires lots of computational efforts. In this paper, w...
This project is supported by NSF of China (No.10101012);Shanghai Rising Star Program (No.03QA14036) ;The Special Funds for Major Specialties of Shanghai Education Committee.
This paper deals with analytic and numerical dissipativity and exponential stability of singularly perturbed delay differential equations with any bounded state-independent lag. Sufficient conditions will be presented...
In [4] we proved that all Gauss methods areNtau(0)-compatible for neutral delay differential equations (NDDEs) of the form y'(t) = ay(t) + by(t-tau) + cy'(t-tau), t >0, (0.1) y(t) = g(t), -tau less than or equal to t ...
Focuses on a study which explored the numerical solution of delay differential equations. Linear stability of numerical methods; Application of one-leg methods; Error analysis.
NSF of China (No.19871070) and China Postdoctoral Science Foundation.
Focuses on a study which examined the numerical solution of delay differential equations (DDE). Information on the Runge-Kutta methods for DDE; Results of the D-convergence analysis of Runge-Kutta methods; Details on ...