Convergence Analysis of the Dynamic Solution

  • Sergio Oller
Part of the Lecture Notes on Numerical Methods in Engineering and Sciences book series (LNNMES)


In the first part of this chapter the dynamic equation (3.1) is particularized for linear problems to study the convergence of the solution for different numerical methods in the time domain. Strictly speaking, the concept of convergence cannot be guaranteed in the second-order nonlinear differential equations as studied in the solution shown in chapter B3 because the convergence involves stability in the solution and this cannot be guaranteed. Nevertheless, the “linearized stability” concept will be studied. It is the most commonly used concept. It can only guarantee the minimum stability conditions, although not enough.

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© International Center for Numerical Methods in Engineering (CIMNE) 2014

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  • Sergio Oller

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