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Více o knize
Focusing on geometric numerical integration, this monograph delves into structure-preserving algorithms that emerged in the 1980s, emphasizing their role in identifying long-term behaviors and conservation laws in dynamic systems. It addresses the challenges posed by highly oscillatory problems, which involve periodic or quasiperiodic solutions across extensive time intervals. The work highlights the necessity for innovative geometric integrators tailored for both ordinary and partial differential equations, reflecting the growing significance of this area in contemporary mathematical research.
Nákup knihy
Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, Xinyuan Wu, Bin Wang
- Jazyk
- Rok vydání
- 2022
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Doručení
Platební metody
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- Jazyk
- anglicky
- Autoři
- Xinyuan Wu, Bin Wang
- Vydavatel
- Springer Nature Singapore
- Rok vydání
- 2022
- Vazba
- měkká
- Počet stran
- 520
- ISBN13
- 9789811601491
- Série
- Anotace
- Focusing on geometric numerical integration, this monograph delves into structure-preserving algorithms that emerged in the 1980s, emphasizing their role in identifying long-term behaviors and conservation laws in dynamic systems. It addresses the challenges posed by highly oscillatory problems, which involve periodic or quasiperiodic solutions across extensive time intervals. The work highlights the necessity for innovative geometric integrators tailored for both ordinary and partial differential equations, reflecting the growing significance of this area in contemporary mathematical research.