scientific article; zbMATH DE number 878933
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Publication:4878703
zbMath0843.65060MaRDI QIDQ4878703
Publication date: 14 May 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
algorithmsinterval analysisinitial value problemssurvey paperdefect controlvalidated computationguaranteed boundsLohner's AWA program
Nonlinear ordinary differential equations and systems (34A34) Interval and finite arithmetic (65G30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)
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Verified integration of linear \(n\)th order ODEs using large steps ⋮ Design of high-gain observers based on sampled measurements via the interval arithmetic ⋮ Explicit a-priori error bounds and adaptive error control for approximation of nonlinear initial value differential systems ⋮ Interval schemes for singularly perturbed initial value problems ⋮ 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 ⋮ Chebyshev polynomial approximations for nonlinear differential initial value problems ⋮ Stepsize selection in the rigorous defect control of Taylor series methods ⋮ Validated solutions of initial value problems for ordinary differential equations ⋮ Rigorous integration of non-linear ordinary differential equations in Chebyshev basis
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