Convergence of Implicit Finite Difference Methods applied to Nonlinear Mixed Systems
H. J. Schroll
A new technique to prove convergence of finite difference methods applied to
nonlinear PDEs arising in computational fluid dynamics is presented. The
underlying systems may be hyperbolic, parabolic or of mixed type like the
Navier--Stokes equations. Implicit finite difference methods are analyzed.
The essential idea leading to success is the introduction of a pilot function,
that is highly attractive to the numerical approximation and converges itself
to the solution of the underlying system.
- Available as PostScript
- Convergence of Implicit Finite Difference Methods applied to Nonlinear
- H. J. Schroll,
- Publishing information:
- SIAM J. Num. Anal. 33(3), 1996, pp 997-1013.
- Submitted by:
August 26 1996.
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