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Interval methods of Adams-Bashforth type with variable step sizes
- Source :
- Numerical Algorithms. 84:651-678
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- In a number of our previous papers, we have proposed interval versions of multistep methods (explicit and implicit), including interval predictor-corrector methods, in which the step size was constant. In this paper, we present interval versions of Adams-Bashforth methods with a possibility to change step sizes. This possibility can be used to obtain interval enclosures of the exact solution with a width given beforehand.
- Subjects :
- Applied Mathematics
Numerical analysis
010103 numerical & computational mathematics
01 natural sciences
010101 applied mathematics
Exact solutions in general relativity
Theory of computation
Initial value problem
Interval (graph theory)
Applied mathematics
0101 mathematics
Constant (mathematics)
Mathematics
Variable (mathematics)
Linear multistep method
Subjects
Details
- ISSN :
- 15729265 and 10171398
- Volume :
- 84
- Database :
- OpenAIRE
- Journal :
- Numerical Algorithms
- Accession number :
- edsair.doi...........9a5e0831d950f18b1ae0f93d43deb7e1