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from Part IV - Initial Value Problems for Ordinary Differential Equations
Published online by Cambridge University Press: 29 September 2022
In this chapter we present and analyze the stability of Galerkin methods for ordinary differential equations. We present the discontinuous Galerkin method for problems with coercive operators, discuss its stability and convergence. Then, for problems with monotone operators, the continuous Petrov–Galerkin method is introduced and analyzed. We show how, in simple scenarios these methods reduced to ones that have been discussed in previous chapters.
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