Unconditional Stability in Numerical Time Integration Methods

[+] Author and Article Information
R. D. Krieg

Sandia Laboratories, Albuquerque, New Mex.

J. Appl. Mech 40(2), 417-421 (Jun 01, 1973) (5 pages) doi:10.1115/1.3422999 History: Received October 01, 1971; Revised July 01, 1972; Online July 12, 2010


Methods of numerical time integration of the equation M̄q̈ + K̄q = f are examined in this paper. A particular class of explicit time integration methods is defined and this class is searched for an unconditionally stable method. The class is found to contain no such method and, furthermore, is found to contain no method with a larger stable time step size than that characterized by the simple central difference time integration method.

Copyright © 1973 by ASME
Topics: Stability , Equations
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