Adaptive Interpolation Algorithm on Sparse Meshes for Numerical Integration of Systems of Ordinary Differential Equations with Interval Uncertainties

Author:

Morozov A. Yu.,Reviznikov D. L.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference27 articles.

1. Mozokhina, A.S. and Mukhin, S.I., Some exact solutions of the problem of liquid flow in a contracting or expanding vessel, Mat. Model., 2019, vol. 31, no. 3, pp. 124–140.

2. Moore, R., Interval Analysis, Englewood Cliffs, NJ: Prentice-Hall, 1966.

3. Moore, R.E., Kearfott, R.B., and Cloud, M.J., Introduction to Interval Analysis, Philadelphia, PA: SIAM, 2009.

4. Sharyi, S.P., Konechnomernyi interval’nyi analiz (Finite-Dimensional Interval Analysis), Novosibirsk: XYZ, 2019.

5. Eijgenraam, P., The Solution of Initial Value Problems Using Interval Arithmetic. Math. Centre Tracts. No. 144 , Amsterdam: Stichting Math. Centrum, 1981.

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