Initial approximations in Euler-Chebyshev's method
نویسندگان
چکیده
منابع مشابه
The exponential Rosenbrock-Euler method for nonsmooth initial data
We consider the exponential Rosenbrock-Euler method for the solution of nonlinear parabolic abstract ordinary differential equations. For smooth solutions the convergence analysis is known, and the method is of order two. Here we investigate the convergence of the method in the case of nonsmooth initial conditions which result in derivatives of the solution with singularities at the origin. We ...
متن کاملOn Isentropic Approximations for Compressible Euler Equations
In this paper, we first generalize the classical results on Cauchy problem for positive symmetric quasilinear systems to more general Besov space. Through this generalization, we obtain the local well-posedness with initial data in the space B d 2 +1 2,1 (R ) which has critical regularity index. We then apply these results to give an explicit characterization on the Isentropic approximation for...
متن کاملEuler Approximations Can Destroy Unbounded Solutions
We show that there are ordinary differential equations in R with unbounded solutions, for which the difference equations obtained by using the forward Euler method have all solutions bounded.
متن کاملA note on tamed Euler approximations
Strong convergence results on tamed Euler schemes, which approximate stochastic differential equations with superlinearly growing drift coefficients that are locally one-sided Lipschitz continuous, are presented in this article. The diffusion coefficients are assumed to be locally Lipschitz continuous and have at most linear growth. Furthermore, the classical rate of convergence, i.e. one–half,...
متن کاملDiagonal Pad ] Approximations for Initial Value Problems *
Diagonal Padd approximations to the time evolution operator for initial value problems are applied in a novel way to the numerical solution of these problems by explicitly factoring the polynomials of the approximation. A remarkable gain over conventional methods in efficiency and accuracy of solution is obtained.
متن کاملذخیره 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: 1995
ISSN: 0377-0427
DOI: 10.1016/0377-0427(95)00031-9