Iterative operator-splitting methods for linear problems

Faragó, István; Geiser, Jürgen

doi:10.1504/ijcse.2007.018264

Cited by 55 publications

(41 citation statements)

References 8 publications

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“…The idea is to repeat the splitting steps using the improved computed solutions. Instead of using direct methods, we have to solve a fixed-point iteration and obtain higher-order results [1], [3].…”

Section: Iterative Operator-splitting Methods For Wave Equationsmentioning

confidence: 99%

Seismic sources and waves using iterative operator splitting methods

Geiser

2007

Proc Appl Math and Mech

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Section: Iterative Operator-splitting Methods For Wave Equationsmentioning

confidence: 99%

Seismic sources and waves using iterative operator splitting methods

Geiser

2007

Proc Appl Math and Mech

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“…One solution is to set up the error function, determining the optimal quaternion such that the errors (E) are minimized. A useful method is the iterative splitting method which ensures a consistent approximation in each step (Farago and Geiser, 2007).…”

Section: Quaternion Convergence and Kalman Filter Designmentioning

confidence: 99%

Heterogeneous data fusion for three-dimensional gait analysis using wearable MARG sensors

Qiu

Wang

Zhao

et al. 2017

IJCSE

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Gait analysis has become a research highlight. In this paper, we propose a computing method using wearable MARG (magnetic angular rate and gravity sensor arrays) with wireless network, which can calculates absolute and relative orientation and position information of human foot motion during level walking and stair climbing process. Three-dimensional foot orientation and position were estimated by a Kalman based sensor fusion algorithm and validated by ground truth provided by Vicon system. The repeatability of the alignment procedure and the measurement errors were evaluated on healthy subjects. Experimental results demonstrate that the proposed method has a good performance at both motion patterns. No significant drifts exist in the overall results presented in the paper. The measured and estimated information can be transmitted to remote server through internet. Moreover, this method could be applied to other cyclical activity monitoring.

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“…In general, the simpler parts are collected via the initial conditions the results are coupled together. This decoupling procedure allows us to solve a few simpler systems instead of the whole one [11][12][13][14].…”

Section: The Mathematical Foundation Of Operator Splittingmentioning

confidence: 99%

The Operator Splitting Method for Black-Scholes Equation

Daoud¹,

zi²

2011

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The Operator Splitting method is applied to differential equations occurring as mathematical models in financial models. This paper provides various operator splitting methods to obtain an effective and accurate solution to the Black-Scholes equation with appropriate boundary conditions for a European option pricing problem. Finally brief comparisons of option prices are given by different models.

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Iterative operator-splitting methods for linear problems

Cited by 55 publications

References 8 publications

Seismic sources and waves using iterative operator splitting methods

Seismic sources and waves using iterative operator splitting methods

Heterogeneous data fusion for three-dimensional gait analysis using wearable MARG sensors

The Operator Splitting Method for Black-Scholes Equation

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