Simple algorithms for tracing solution curves
Copyright policy )Simple algorithms for tracing solution curves
Summary: This paper presents some simple and practical algorithms for tracing implicitly defined solution curves. These algorithms use hyperspheres instead of hyperplanes that are used in the typical predictor-corrector algorithms. Effective techniques for preventing the ``reversion'' phenomenon of the curve tracing are also proposed. The proposed algorithms are geometrically clear and can be easily programmed.
- Gunma University Japan
hyperspheres, Numerical aspects of computer graphics, image analysis, and computational geometry, Numerical computation of solutions to systems of equations, implicitly defined solution curves, homotopy method, curve tracing, predictor-corrector algorithms, algorithms, Global methods, including homotopy approaches to the numerical solution of nonlinear equations
hyperspheres, Numerical aspects of computer graphics, image analysis, and computational geometry, Numerical computation of solutions to systems of equations, implicitly defined solution curves, homotopy method, curve tracing, predictor-corrector algorithms, algorithms, Global methods, including homotopy approaches to the numerical solution of nonlinear equations
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