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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2019 / Cilt: 9 - Sayı: 1

An integral formulation for the global error of Lie Trotter splitting scheme

Muaz SEYDAOĞLU
Pages
36–40
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The aim of the paper isto present an integral formula for the global error expansion of a splittingprocedure combined with any numerical ODE solver.

📌 3 Key Takeaways

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Objective & Hypothesis:An ordinary differential equation (ODE) can be split into simpler sub equationsand each of the sub equations is solved subsequently by a numerical method.Such a procedure involves splitting error and numerical error caused by thetime stepping methods applied to sub equations.
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Key Findings & Data:An ordinary differential equation (ODE) can be split into simpler sub equationsand each of the sub equations is solved subsequently by a numerical method.Such a procedure involves splitting error and numerical error caused by thetime stepping methods applied to sub equations.
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Conclusion & Impact:The aim of the paper isto present an integral formula for the global error expansion of a splittingprocedure combined with any numerical ODE solver.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

An ordinary differential equation (ODE) can be split into simpler sub equationsand each of the sub equations is solved subsequently by a numerical method.Such a procedure involves splitting error and numerical error caused by thetime stepping methods applied to sub equations. The aim of the paper isto present an integral formula for the global error expansion of a splittingprocedure combined with any numerical ODE solver.

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Cite This Article

SEYDAOĞLU, M. (2022). An integral formulation for the global error of Lie Trotter splitting scheme. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 9 - Sayı: 1, 36–40. https://ajindex.com/articles/440616

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References (5)

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