Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs

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

Parallel Iterated Runge Kutta Methods and Applications

The iterated Runge Kutta IRK method is an iteration scheme for the numerical solu tion of initial value problems IVP of ordinary di erential equations ODEs that is based on a predictor corrector method with an Runge Kutta RK method as corrector Embed ded approximation formulae are used to control the stepsize We present di erent parallel algorithms of the IRK method on distributed memory multip...

متن کامل

Explicit Two-Step Methods for Second-Order Linear IVPs

we present a new type of method for the integration of systems of linear inhomogeneous initial value problems with constant coefficients. Our methods are of hybrid explicit Numerov type. The methods are constructed without the intermediate use of high accuracy interpolatory nodes, since only the Taylor expansion at the internal points is needed. Then we derive the order conditions taking advant...

متن کامل

Runge-Kutta-Nyström-type parallel block predictor-corrector methods

This paper describes the construction of block predictor-corrector methods based on Runge-Kutta-Nystrr om correctors. Our approach is to apply the predictor-corrector method not only with stepsize h, but, in addition (and simultaneously) with stepsizes a i h; i = 1; : : :; r. In this way, at each step, a whole block of approximations to the exact solution at oo-step points is computed. In the n...

متن کامل

High Order Explicit Two - Step Runge - Kutta

In this paper we study a class of explicit pseudo two-step Runge-Kutta methods (EPTRK methods) with additional weights v. These methods are especially designed for parallel computers. We study s-stage methods with local stage order s and local step order s + 2 and derive a suucient condition for global convergence order s+2 for xed step sizes. Numerical experiments with 4-and 5-stage methods sh...

متن کامل

High Order Explicit Two-Step Runge-Kutta Methods for Parallel Computers

R n , parameters A aij R s , c b R , 1l : 1 1 T and step size hm. F denotes the straightforward extension of f to R . Here, denotes the Kronecker tensor product. Notice that the EPTRK method 2 requires only one sequential function evaluation per step on a parallel computer with s processing elements. Numerical experiments with a variable step size implementation on a shared memory computer have...

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: Computers & Mathematics with Applications

سال: 2002

ISSN: 0898-1221

DOI: 10.1016/s0898-1221(02)00136-0