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Finite difference methods, such as the mid-point rule, have been applied successfully to the numerical solution of ordinary and partial differential equations. If such formulas are applied to observational data, in order to determine derivatives, the results can be disastrous. The reason for this is that measurement errors, and even rounding errors in… (More)

When deriving rates of convergence for the approximations generated by the application of Tikhonov regularization to ill–posed operator equations , assumptions must be made about the nature of the stabilization (i.e., the choice of the seminorm in the Tikhonov regularization) and the regularity of the least squares solutions which one looks for. In fact, it… (More)

- Weiwei Deng, Jenni Clausen, Scott Boden, Sandra N. Oliver, M. Cristina Casao, Brett Ford +3 others
- PloS one
- 2015

The plant circadian clock is an internal timekeeper that coordinates biological processes with daily changes in the external environment. The transcript levels of clock genes, which oscillate to control circadian outputs, were examined during early seedling development in barley (Hordeum vulgare), a model for temperate cereal crops. Oscillations of clock… (More)

- Weiwei Deng, Jenni Clausen, Scott Boden, Sandra N. Oliver, M. Cristina Casao, Brett Ford +2 others
- PloS one
- 2015

There is an error in Fig 2C. Specifically, the panels for Fig 2C showing expression data for HvTOC1, HvGI and HvPRR73 were duplicates of panels from Fig 1C. The duplication of these images occurred during figure preparation and was an error made by the corresponding author (B. Trevaskis). The correction does not alter the conclusions of the study. The… (More)

- Robert S Anderssen, Christopher A Helliwell
- Journal of mathematical biology
- 2013

The recovery of information from indirect measurements takes different forms depending on the sophistication with which the process being researched can be modelled mathematically. The forms range from (1) the historical and classical inverse problems regularization situation where explicit models which guaranteed existence and uniqueness have been… (More)