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Full-Text Articles in Physical Sciences and Mathematics
A Numerical Treatment Of One-Dimensional Non-Steady Compressible Flows, Paul J. Kazek
A Numerical Treatment Of One-Dimensional Non-Steady Compressible Flows, Paul J. Kazek
Mathematics & Statistics ETDs
The problem that will be considered here will be the flow in a cylinder filled with a homogeneous ideal gas, bounded on one end by a vacuum and/or a rigid wall with the motion initiated by a piston on the other end. First, the basic Lagrangian differential equations will be derived along with other necessary thermodynamical relations. A scheme of difference equations will be presented and the viscosity term discussed as well as a method for insuring stability of the difference equations during the calculations
A Statistical Technique For Predicting A Two Dimensional Vector With Application, Richard E. Vogel
A Statistical Technique For Predicting A Two Dimensional Vector With Application, Richard E. Vogel
Mathematics & Statistics ETDs
The problem of multiple regression analysis where the dependent and independent variables are components of a two dimensional vector is discussed, and a complete statistical development of the solution of estimators for the parameters in the model given. The theory regarding predictions and confidence statements about such predictions is also developed. A computer code was written for the IBM 704 computer which solves the above problem and a description of the code appears in the appendix.
The statistical model was applied to a meteorological problem in wind forecasting at the Eniwetok Proving Ground, and prediction equations were developed and evaluated.