Pii: S0168-9274(99)00131-2

نویسنده

  • Robert I. McLachlan
چکیده

We study numerical integrators that contract phase space volume even when the ODE does so at an arbitrarily small rate. This is done by a splitting into two-dimensional contractive systems. We prove a sufficient condition for Runge–Kutta methods to have the appropriate contraction property for these two-dimensional systems; the midpoint rule is an example.  2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pii: S0168-9274(01)00131-3

We present in this paper optimal and accelerated row projection algorithms arising from the use of quadratic programming, that allow us to define the iterate xk+1 as the projection of x onto a hyperplane which minimizes its distance to the solution x∗. These algorithms also use a novel partition strategy into blocks based on sequential estimations of their condition numbers.  2001 IMACS. Publi...

متن کامل

Pii: S0168-9274(98)00131-7

In the present paper suboptimal boundary control strategies for the time-dependent, incompressible flow over the backward-facing step are considered. The objective consists in the reduction of the recirculation bubble of the flow behind the step. Several cost functionals are suggested and a frame for the derivation of the optimality systems for a general class of cost functionals is presented. ...

متن کامل

Pii: S0168-9274(99)00020-3

We compare several methods for sensitivity analysis of differential–algebraic equations (DAEs). Computational complexity, efficiency and numerical conditioning issues are discussed. Numerical results for a chemical kinetics problem arising in model reduction are presented.  2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

متن کامل

Pii: S0168-9274(99)00114-2

This paper concerns the iterative solution of the linear system arising from the Chebyshev–collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss–Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev–Gauss–Lobatto grid.  2000 IMACS. Published by Elsevier Science...

متن کامل

Pii: S0168-9274(99)00148-8

We study the error propagation of time integrators of solitary wave solutions for the regularized long wave equation, ut +ux+ 2 (u)x −uxxt = 0, by using a geometric interpretation of these waves as relative equilibria. We show that the error growth is linear for schemes that preserve invariant quantities of the problem and quadratic for ‘nonconservative’ methods. Numerical experiments are prese...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000