A Mathematical Basis for an Error Analysis of Differential Analyzers

[1]  A. B. Macnee Some Limitations on the Accuracy of Electronic Differential Analyzers , 1952, Proceedings of the IRE.

[2]  On the Accumulation of Errors in the Numerical Solution of Differential Equations , 1952 .

[3]  A boundary value problem for a nonlinear differential equation with a small parameter , 1952 .

[4]  SECTION OF MATHEMATICS AND ENGINEERING: ERROR ANALYSIS FOR MATHEMATICAL MACHINES* , 1951 .

[5]  S. Gill,et al.  A process for the step-by-step integration of differential equations in an automatic digital computing machine , 1951, Mathematical Proceedings of the Cambridge Philosophical Society.

[6]  John Todd,et al.  Solution of Differential Equations by Recurrence Relations , 1950 .

[7]  A. Macnee,et al.  An Electronic Differential Analyzer , 1949, Proceedings of the IRE.

[8]  W. Loud On the Long‐Run Error in the Numerical Solution of Certain Differential Equations , 1949 .

[9]  A. Fricke Über die Fehlerabschätzung des Adams schen Verfahrens zur Integration gewöhnlicher Differentialgleichungen 1. Ordnung , 1949 .

[10]  Harry D. Huskey,et al.  On the precision of a certain procedure of numerical integration , 1949 .

[11]  W. J. Duncan LXII. Technique, of the step-by-step integration of ordinary differential equations , 1948 .

[12]  Assessment of errors in approximate solutions of differential equations , 1948 .

[13]  N. Levinson,et al.  Perturbations of discontinuous solutions of non-linear systems of differential equations , 1947, Proceedings of the National Academy of Sciences of the United States of America.

[14]  K. O. Friedrichs,et al.  Singular perturbations of non-linear oscillations , 1946 .

[15]  S. Rice Mathematical analysis of random noise , 1944 .

[16]  R. Zurmühl,et al.  Beiträge zu den Interpolationsverfahren der numerischen Integration von Differentialgleichungen 1. und 2. Ordnung . , 1942 .

[17]  XXXI. The errors in the numerical solution of differential equations , 1939 .

[18]  XXXIV. Two notes on the numerical solution of differential equations , 1939 .

[19]  Vannevar Bush,et al.  The differential analyzer. A new machine for solving differential equations , 1931 .