Special software for computing the special functions of wave catastrophes

• Main Authors: Andrey S. Kryukovsky, Dmitry S. Lukin, Sergey V. Rogachev
• Format: Article
• Language: Spanish
• Published: Universidad de Costa Rica 2015-01-01
• Series: Revista de Matemática: Teoría y Aplicaciones
• Subjects: métodos de EDO; funciones especiales de catástrofes de olas; métodos numéricos; algoritmos; computación en paralelo; computación distribuida
• Online Access: https://revistas.ucr.ac.cr/index.php/matematica/article/view/17513

The method of ordinary differential equations in the context of calculating the special functions of wave catastrophes is considered. Complementary numerical methods and algorithms are described. The paper shows approaches to accelerate such calculations using capabilities of modern computing systems. Methods for calculating the special functions of wave catastrophes are considered in the framework of parallel computing and distributed systems. The paper covers the development process of special software for calculating of special functions, questions of portability, extensibility and interoperability.