Geometric Foundations of Numerical Algorithms and Symmetry

  • Peter J. Olver
  • Published 2001 in
    Applicable Algebra in Engineering, Communication…


This paper outlines a new general construction, named “multi-space”, that forms the proper geometrical foundation for the numerical analysis of differential equations – in direct analogy with the role played by jet space as the basic object underlying the geometry of differential equations. Application of the theory of moving frames leads to a general… (More)
DOI: 10.1007/s002000000053



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@article{Olver2001GeometricFO, title={Geometric Foundations of Numerical Algorithms and Symmetry}, author={Peter J. Olver}, journal={Applicable Algebra in Engineering, Communication and Computing}, year={2001}, volume={11}, pages={417-436} }