Mathematical Clarification of the Cause of Ill-Conditioning of the Coefficient Matrix in Volterra Series Model of River Runoff Phenomena

Volterra series was applied to river runoff phenomena to model the input-output nonlinear relation between rainfall and runoff of rivers. The application results were reported in “Electrical Engineering in Japan” (vol. 98, 101). In the report, good results from modeling and simulation were shown, meanwhile unfavorable results were also shown in some cases depending on modeling condition.

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Publication Details

Journal
IEEJ Transactions on Electronics Information and Systems
Published
2024-12-31
DOI
https://doi.org/10.1541/ieejeiss.145.59
Primary Topic
Advanced Computational Techniques in Science and Engineering
Type
article
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article

Mathematical Clarification of the Cause of Ill-Conditioning of the Coefficient Matrix in Volterra Series Model of River Runoff Phenomena

Takashi Hatakeyama
IEEJ Transactions on Electronics Information and Systems
Advanced Computational Techniques in Science and Engineering
article

Mathematical Clarification of the Cause of Ill-Conditioning of the Coefficient Matrix in Volterra Series Model of River Runoff Phenomena

Takashi Hatakeyama
article en

Abstract

Volterra series was applied to river runoff phenomena to model the input-output nonlinear relation between rainfall and runoff of rivers. The application results were reported in “Electrical Engineering in Japan” (vol. 98, 101). In the report, good results from modeling and simulation were shown, meanwhile unfavorable results were also shown in some cases depending on modeling condition.

IEEJ Transactions on Electronics Information and SystemsVol. 145(1)
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Advanced Computational Techniques in Science and Engineering
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Mathematical Clarification of the Cause of Ill-Conditioning of the Coefficient Matrix in Volterra Series Model of River Runoff Phenomena — Takashi Hatakeyama · IEEJ Transactions on Electronics Information and Systems (2024) | TGRS Research Map | TGRS