Benito Chen
University of Wyoming
9 Papers
37 Citations
Benito Chen is an academic researcher from University of Wyoming. The author has contributed to research in topics: Chebyshev polynomials & Chebyshev equation. The author has an hindex of 6, co-authored 9 publications.
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Papers
Discretizations of nonlinear differential equations using explicit finite order methods
Benito Chen,Francisco J. Solis +1 more
TL;DR: This work studies the appearance of spurious solutions when first-order differential equations with unimodal right-hand sides are discretized using Runge-Kutta schemes.
30
Chebyshev polynomial approximations for nonlinear differential initial value problems
TL;DR: These are a priori error bounds and more precise error bounds reduce the work in approximating the solution of nonlinear ordinary differential equations based on two-variable Chebyshev series expansions.
17
Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems
TL;DR: A method for approximating the solution of initial value ordinary differential equations with a priori error bounds based on a Chebyshev perturbation of the original differential equation together with the Frobenius method for solving the equation.
12
The truncation error of the two-variable chebyshev series expansions
TL;DR: A formula for the error bound for the truncation error of the two-variable Chebyshev series expansions was recently given but there was a quantitative error.
9
Constructing accurate polynomial approximations for nonlinear differential initial value problems
TL;DR: Results of Chen et al. are significantly improved in two directions by extending the existence domain of the approximation and by reducing the degree of the truncation polynomial.
9