Hailong Guo

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We propose and analyze a new spectral collocation method to solve eigen-value problems of compact integral operators, particularly, piecewise smooth operator kernels and weakly singular operator kernels of the form 1 |t−s| µ , 0 < µ < 1. We prove that the convergence rate of eigenvalue approximation depends upon the smoothness of the corresponding(More)
Chloroplast retrograde signals play important roles in coordinating the plastid and nuclear gene expression and are critical for proper chloroplast biogenesis and for maintaining optimal chloroplast functions in response to environmental changes in plants. Until now, the signals and the mechanisms for retrograde signalling remain poorly understood. Here we(More)
Approved by: ———————————————————– Advisor Date ———————————————————– ———————————————————– ———————————————————– ———————————————————– DEDICATION To my family and teachers ii ACKNOWLEDGEMENTS I would like to take this special opportunity to express my appreciation on all of my friends who helped me excel myself. In particular, I owe my deepest gratitude to my(More)
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