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Stability of numerical integration of ordinary differential equations

Creator:

Lathrop, James Frank

Abstract:

The thesis discusses stability of procedures based on linear computing formulas for numerical integration of an ordinary first-order differential equation. The theorems are proved: (1) If the procedure is asymptotically stable it is stable for small positive step size if the Lipschitz number is negative; (2) Relative stability always exists...

Resource Type:

Masters Thesis

Full Text:

" --> Title STABILITY OF NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS Abstract approved (Major
On multiple point Taylor series expansions

Creator:

Dyche, Chester Wayne

Resource Type:

Masters Thesis

Full Text:

, G. E. Stechert, 1877. 235p. 3. Fettis, Henry E. Numerical calculation of certain definite
A study of the effect of the choice of pivot elements on round-off errors in Gauss elimination

Creator:

Gunn, Michael Gary

Abstract:

It is established folklore in numerical analysis, for solution of a square system of linear equations by Gauss elimination, that the standard method of choice of pivot elements is to search the entire suppressed matrix for the element largest in absolute value. However, it was felt by the author, that...

Resource Type:

Masters Thesis

Full Text:

for privacy Abstract approved: Dr1 Harry Goheen It is established folklore in numerical analysis