Adaptive Interpolation Algorithm Based on a kd-Tree for Numerical Integration of Systems of Ordinary Differential Equations with Interval Initial Conditions

Author:

Morozov A. Yu.,Reviznikov D. L.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference22 articles.

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

3. Eijgenraam, P., The Solution of Initial Value Problems Using Interval Arithmetic: Formulation and Analysis of an Algorithm, Thesis, Amsterdam: Mathematisch Centrum, 1981.

4. Lohner, R.J., Enclosing the solutions of ordinary initial and boundary value problems, Comput. Arithmetic: Scientific Comput. and Progr. Languages, 1987, pp. 255–286.

5. Dobronets, B.S., On some two-sided methods for solving systems of ordinary differential equations, Interval Comput., 1992, no. 1 (3), pp. 6–19.

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