DOI QR코드

DOI QR Code

Generalized Computational Nodes for Pseudospectral Methods

Kim, Chang-Joo;Park, Soo Hyung;Jung, Sung-Nam;Sung, Sangkyung

  • 투고 : 2014.03.06
  • 심사 : 2014.06.09
  • 발행 : 2014.06.30

초록

Pseudo-spectral method typically converges at an exponential rate. However, it requires a special set of fixed collocation points (CPs) to get highly accurate formulas for partial integration and differentiation. In this study, computational nodes for defining the discrete variables of states and controls are built independently of the CPs. The state and control variables at each CP, which are required to transcribe an NOCP into the corresponding NLP, are interpolated, using those variables allocated at each node. Additionally, Lagrange interpolation and spline interpolation are investigated, to provide a guideline for selecting a favorable interpolation method. The proposed techniques are applied to the solution of an NOCP using equally spaced nodes, and the computed results are compared to those using the standard PS approach, to validate the usefulness of the proposed methods.

키워드

Pseudo-spectral method;computational node;Lagrange interpolation;spline

참고문헌

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피인용 문헌

  1. Fast and accurate analyses of spacecraft dynamics using implicit time integration techniques vol.14, pp.2, 2016, https://doi.org/10.5139/IJASS.2014.15.2.183

과제정보

연구 과제 주관 기관 : Konkuk University