Spline function approximations for solutions of ordinary differential equations

DOI10.1090/S0002-9904-1967-11778-6zbMath0171.36302MaRDI QIDQ5558196

T. D. Talbot, Frank R. Loscalzo

Publication date: 1967

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

numerical analysis

Related Items (13)

𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors ⋮ Implicit single step methods by spline-like functions for solution of ordinary differential equations ⋮ Numerical solutions to inverse problems of general planar motion ⋮ Trigonometric spline and spectral bounds for the solution of linear time-periodic systems ⋮ Accurate delta potential approximation for a coordinate-dependent potential and its analytical solution ⋮ Conservative spline methods for second-order IVPs of ODEs ⋮ The numerical solution of nonlinear differential equations by spline functions ⋮ A survey on parametric spline function approximation ⋮ Spline techniques for solving first-order evolution equations in Banach spaces ⋮ Probabilistic solutions to ordinary differential equations as nonlinear Bayesian filtering: a new perspective ⋮ Piecewise polynomial Taylor methods for initial value problems ⋮ Spline function approximations for solution of differential equations with retarded arguments ⋮ Numerical solution of system of first-order delay differential equations using polynomial spline functions

Cites Work

• Unnamed Item
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• To I. J. Schoenberg and his mathematics

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