THE NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS.
Final rept. 1 Feb 65-30 Nov 68,
NORTHEASTERN UNIV BOSTON MASS
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The accuracy and stability of several original methods for the numerical solution of the partial differential equations U sub t sigmaU sub xx and U sub t -UU sub x are investigated. It is found that by using properly chosen combinations of existing methods it is possible to extend the region of stability beyond the normally accepted limits. The cost of this increased stability is an increased truncation error, which would probably prevent the methods from being of great practical value. A study of the properties of a class of multidimensional difference equations is performed, with results derived concerning their eigenvalues and eigenvectors. The plans for a new computer program system for the solution of global meteorological problems are developed. Author
- Numerical Mathematics