Constructive polynomial approximation with \textit{a priori} error bounds for nonlinear initial value differential problems
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Publication:1972490
DOI10.1016/S0898-1221(99)00233-3zbMath0947.34007OpenAlexW2032388268MaRDI QIDQ1972490
H. Casteljón, A. E. Posso, Lucas Jodar
Publication date: 11 April 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00233-3
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)
Related Items (7)
Regarding polynomial approximation for ordinary differential equations ⋮ Explicit a-priori error bounds and adaptive error control for approximation of nonlinear initial value differential systems ⋮ Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems ⋮ Constructing accurate polynomial approximations for nonlinear differential initial value problems ⋮ Analytic-numerical solutions with a priori error bounds of initial value problems for the continuous coefficient wave equation ⋮ Chebyshev polynomial approximations for nonlinear differential initial value problems ⋮ Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems
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