Engineering topics

Bernstein, Ira B.

Publications and source records attributed to Bernstein, Ira B..

2 records

NASA NTRS1992

A numerical method for solving systems of linear ordinary differential equations with rapidly oscillating solutions

The present numerical method for accurate and efficient solution of systems of linear equations proceeds by numerically developing a set of basis solutions characterized by slowly varying dependent variables. The solutions thus obtained are shown to have a computational overhead largely independent of the small size of the scale length which characterizes the solutions; in many cases, the technique obviates series solutions near singular points, and its known sources of error can be easily controlled without a substantial increase in computational time.

Bernstein, Ira B.↗

NASA NTRS1987

The generation of magnetic fields in the sun

In this paper results of a preliminary investigation into the existence of large scale magnetic fields in the sun are given. Using a kinematic model with prescribed internal rotation and a standard solar model, the poloidal and toroidal components of the magnetic field are calculated. The basic decay time is of the order of the age of the sun. In addition the fields are quite sensitive to slight variations in the internal rotation. The boundary condition at the solar surface also does not seem to influence the inner regions where large scale fields seem possible.

Fox, Peter A.↗