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Minimum Weighted Residual Methods in Endogeneous Growth Models


  • Michal Kejak



The paper deals with the application of Minimum Weighted Residual Methods (MWR) in intertemporal optimizing models of endogenous economic growth. In the 1st part of the paper the basics of the MWR method are described. Attention is mainly concentrated on one special class of MWR methods: the orthogonal collocation method with the Chebyshev polynomial basis. The second part of the paper is devoted to the setup of a model of endogenous growth with human capital accumulation and the government sector and to the derivation of 1st order conditions which form a Two- Point-Boundary-Value problem. A transformation of the problem which eliminates the growth in variables is then presented and the MWR method is used to solve the model for some policy experiments.

Suggested Citation

  • Michal Kejak, 2001. "Minimum Weighted Residual Methods in Endogeneous Growth Models," Development and Comp Systems 0012013, EconWPA.
  • Handle: RePEc:wpa:wuwpdc:0012013
    Note: Type of Document - Acrobat PDF; pages: 16 ; figures: Included

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    Cited by:

    1. Radim Bohacek & Michal Kejak, 2005. "Projection Methods for Economies with Heterogeneous Agents," CERGE-EI Working Papers wp258, The Center for Economic Research and Graduate Education - Economics Institute, Prague.

    More about this item


    Numerical methods; Growth; Business Cycles; Computational Software;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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