Extension of Chebfun to Periodic Functions
Copyright policy )Extension of Chebfun to Periodic Functions
Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted.
20 pages
- THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD United Kingdom
- University of Oxford United Kingdom
- Boise State University United States
Numerical Analysis, CGISS, trigonometric interpolation, 42A10, 42A15, 65T40, Trigonometric approximation, Trigonometric interpolation, Numerical methods for trigonometric approximation and interpolation, trigonometric approximation, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Fourier series, 510, barycentric formula, ordinary differential equations, FOS: Mathematics, Numerical methods for ordinary differential equations, Chebfun, Mathematics
Numerical Analysis, CGISS, trigonometric interpolation, 42A10, 42A15, 65T40, Trigonometric approximation, Trigonometric interpolation, Numerical methods for trigonometric approximation and interpolation, trigonometric approximation, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Fourier series, 510, barycentric formula, ordinary differential equations, FOS: Mathematics, Numerical methods for ordinary differential equations, Chebfun, Mathematics
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