Solution of stiff Cauchy problems with explicit schemes with geometrical-adaptive step selection
Author:
Affiliation:
1. Keldysh Institute of Applied Mathematics
Publisher
Keldysh Institute of Applied Mathematics
Subject
General Medicine
Reference9 articles.
1. Dahlquist G. Convergence and stability in the numerical integration of ordinary differential equations // Math. Scand. 1956. Vol. 4. P. 33 − 53.
2. Хайрер Э., Ваннер Г. Решение обыкновенных дифференциальных уравнений. Жесткие и дифференциально-алгебраические задачи. М.: Мир, 1999.
3. Dormand J.R., Prince P.J. A family of embedded Runge-Kutta formulae // J. Comp. Appl. Math. 1980. Vol. 6. P. 223−232.
4. Riks E. The application of Newton's method to the problem of elastic stability. // J. Appl. Mech. 1972. Vol. 39, № 4. P. 1060−1065.
5. Белов А.А., Калиткин Н.Н., Пошивайло И.П. Геометрически-адаптивные сетки для жестких задач Коши // Докл. РАН. 2016. Т. 466. № 3. С. 276−281.
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