On the order of accuracy for difference approximations of initial-boundary value problems

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

On the order of accuracy for difference approximations of initial-boundary value problems

Finite difference approximations of the second derivative in space appearing in, parabolic, incompletely parabolic systems of, and second order hyperbolic, partial differential equations are considered. If the solution is pointwise bounded, we prove that finite difference approximations of those classes of equations can be closed with two orders less accuracy at the boundary without reducing th...

متن کامل

The Semigroup Stability of the Difference Approximations for Initial-boundary Value Problems

For semidiscrete approximations and one-step fully discretized approximations of the initial-boundary value problem for linear hyperbolic equations with diagonalizable coefficient matrices, we prove that the Kreiss condition is a sufficient condition for the semigroup stability (or l2 stability). Also, we show that the stability of a fully discretized approximation generated by a locally stable...

متن کامل

Stability Theory of Difference Approximations for Multidimensional Initial-Boundary Value Problems

A stability theory is developed for dissipative difference approximations to multidimensional initial-boundary value problems. The original differential problem should be strictly hyperbolic and the difference problem consistent with the differential one. An algebra of pseudo-difference operators is built and later used to prove the stability of the difference approximation with variable coeffi...

متن کامل

Convergence Theorem for Difference Approximations of Hyperbolic Quasi-Linear Initial-Boundary Value Problems*

Dissipative difference approximations to multi-dimensional hyperbolic quasi-linear initial-boundary value problems are considered. The difference approximation is assumed to be consistent with the differential problem and its linearization should be stable in /2. A formal asymptotic expansion to the difference solution is constructed. This expansion includes boundary and initial layers. It is p...

متن کامل

Convenient Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems

New convenient stability criteria are provided in this paper for a large class of finite-difference approximations to initial-boundary value problems associated with the hyperbolic system u, = Auv + flu + f in the quarter plane x > 0, t > 0. Using the new criteria, stability is easily established for numerous combinations of well-known basic schemes and boundary conditions, thus generalizing ma...

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 Physics

سال: 2006

ISSN: 0021-9991

DOI: 10.1016/j.jcp.2006.02.014