Discrete Galerkin and related one-step methods for ordinary differential equations

  title={Discrete Galerkin and related one-step methods for ordinary differential equations},
  author={Bernie L. Hulme},
New techniques for numerically solving systems of first-order ordinary differential equations are obtained by finding local Galerkin approximations on each subinterval of a given mesh. Different classes of methods correspond to different quadrature rules used to evaluate the innerproducts involved. At each step, a polynomial of degree/; is constructed and the arcs are joined together continuously, but not smoothly, to form a piecewise polynomial of degree n and class C°. If the n-point… CONTINUE READING


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