A BVP solver based on residual control and the Maltab PSE

@article{Kierzenka2001ABS,
  title={A BVP solver based on residual control and the Maltab PSE},
  author={Jacek Kierzenka and Lawrence F. Shampine},
  journal={ACM Trans. Math. Softw.},
  year={2001},
  volume={27},
  pages={299-316}
}
Our goal was to make it as easy as possible to solve a large class of boundary value problems (BVPs) for ordinary differential equations in the Matlab problem solving environment (PSE). We present here theoretical and software developments resulting in bvp4c, a capable BVP solver that is exceptionally easy to use. 

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SHOWING 1-6 OF 6 REFERENCES

User’s Guide for TWPBVP: A Code for Solving Two-Point Boundary Value Problems

J. R. CASH, M. H. WRIGHT
  • Ode directory of Netlib.
  • 1995
VIEW 13 EXCERPTS
HIGHLY INFLUENTIAL

Program system “RWA” for the solution of twopoint boundary value problems—Foundations, algorithms, comparisons

M. HANKE, R. LAMOUR, R. WINKLER
  • Seminarbericht nr. 67, Sektion Mathematik der Humboldt-Universität zu Berlin, Berlin, Germany.
  • 1985
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL