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On general linearly implicit quantized state system methods

delete2026-07-20
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PRE
AI
M
Mariana Bergonzi *
J
Joaquín Fernández
E
Ernesto Kofman
DOI:10.1007/s40314-026-03858-3delete
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摘要

摘要

En 中文
This work proposes a methodology to develop new numerical integration algorithms for ordinary differential equations based on state quantization, generalizing the notions of Linearly Implicit Quantized State Systems (LIQSS) methods. Using this idea, two novel sub-families of algorithms are designed that improve the performance of existing LIQSS methods while preserving their properties regarding stability, global error bounds and efficient event handling capabilities. The features of the new algorithms are studied in two application examples where the advantages over classical numerical integration algorithms are also analyzed.
Keyword:
Quantized state systems
Numerical integration algorithms
Computational efficiency

期刊

C
COMPUTATIONAL & APPLIED MATHEMATICS
IF:
2.5
论文数:
95
被引数:
0

机构

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