Modified collocation techniques for evolutionary problems
Modified collocation techniques for evolutionary problems
We present some modified collocation based numerical methods for the numerical integration of Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs). The treatise is framed into the existing literature on classical collocation methods and shows how this idea can evolve into a multistep setting, also in case of basis of functions other than polynomials.
Keywords-collocation; Mixed collocation; Runge-kutta methods; Two-step collocation; Two-step runge-kutta methods; Modeling and Simulation; Mathematical Physics; Computational Mathematics; Applied Mathematics
Keywords-collocation; Mixed collocation; Runge-kutta methods; Two-step collocation; Two-step runge-kutta methods; Modeling and Simulation; Mathematical Physics; Computational Mathematics; Applied Mathematics
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