Numerical Method to Solve the Cauchy Problem with Previous History
| Autor: | V. A. Prusov, A. Yu. Doroshenko |
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| Rok vydání: | 2017 |
| Předmět: |
Cauchy problem
021103 operations research Cauchy's convergence test General Computer Science 010102 general mathematics 0211 other engineering and technologies Numerical methods for ordinary differential equations 02 engineering and technology Exponential integrator 01 natural sciences Collocation method ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Calculus Applied mathematics 0101 mathematics Hyperbolic partial differential equation Numerical stability Mathematics Numerical partial differential equations |
| Zdroj: | Cybernetics and Systems Analysis. 53:34-56 |
| ISSN: | 1573-8337 1060-0396 |
| DOI: | 10.1007/s10559-017-9905-y |
| Popis: | The paper analyzes the theoretical aspects of constructing a family of single-stage multi-step methods for solving the Cauchy problem with prehistory for ordinary differential equations. The authors consider general issues related to discretization, approximation, convergence, and stability. The problem of improving the accuracy of numerical solutions is analyzed in detail. The results presented in the paper are also applicable for the numerical solution of partial differential equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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