Report utilizes nonlinear-dynamics approach to investigate possible sources of errors and slow convergence and non-convergence of steady-state numerical solutions when using time-dependent approach for problems containing nonlinear source terms. Emphasizes implications for development of algorithms in CFD and computational sciences in general. Main fundamental conclusion of study is that qualitative features of nonlinear differential equations cannot be adequately represented by finite-difference method and vice versa.


    Access

    Access via TIB

    Check availability in my library


    Export, share and cite



    Title :

    Spurious Solutions Of Nonlinear Differential Equations


    Contributors:

    Published in:

    Publication date :

    1992-08-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English






    Least-Squares Solutions of Nonlinear Differential Equations

    Mortari, Daniele / Johnston, Hunter R. / Smith, Lidia I. | AIAA | 2018


    More About Spurious Numerical Solutions Of DEs

    Yee, H. C. / Sweby, P. K. | NTRS | 1995