Numerical search for algebraically stable two-step almost collocation methods

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The symmetric two-step P-stable nonlinear predictor-corrector‎ ‎methods for the numerical solution of second order‎ ‎initial value problems

In this paper‎, ‎we propose a modification of the second order method‎ ‎introduced in [‎‎Q. Li and ‎X‎. ‎Y. ‎Wu‎, A two-step explicit $P$-stable method for solving second order initial value problems‎, ‎textit{‎Appl‎. ‎Math‎. ‎Comput‎.}‎ {‎138}‎ (2003)‎, no. 2-3, ‎435--442‎] for the numerical solution of‎ ‎IVPs for second order ODEs‎. ‎The numerical results obtained by the‎ ‎new method for some...

متن کامل

Trigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems

In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numeri...

متن کامل

the symmetric two-step p-stable nonlinear predictor-corrector‎ ‎methods for the numerical solution of second order‎ ‎initial value problems

in this paper‎, ‎we propose a modification of the second order method‎ ‎introduced in [‎‎q. li and ‎x‎. ‎y. ‎wu‎, a two-step explicit $p$-stable method for solving second order initial value problems‎, ‎textit{‎appl‎. ‎math‎. ‎comput‎.}‎ {‎138}‎ (2003)‎, no. 2-3, ‎435--442‎] for the numerical solution of‎ ‎ivps for second order odes‎. ‎the numerical results obtained by the‎ ‎new method for some...

متن کامل

Implicit One-step L-stable Generalized Hybrid Methods for the Numerical Solution of First Order Initial Value problems

In this paper, we introduce the new class of implicit L-stable generalized hybrid methods for the numerical solution of first order initial value problems. We generalize the hybrid methods with utilize ynv directly in the right hand side of classical hybrid methods. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the n...

متن کامل

Stability Results for One-step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations

Abstract. This paper is concerned with the stability analysis of the discretized collocation method for the second-kind Volterra integral equation with degenerate kernel. A fixed-order recurrence relation with variable coefficients is derived, and local stability conditions are given independent of the discretization. Local stability and stability with respect to an isolated perturbation of som...

متن کامل

ذخیره 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: 2013

ISSN: 0377-0427

DOI: 10.1016/j.cam.2012.08.012