It takes the average reader 2 hours and 26 minutes to read Multi-scale and High-contrast PDE by Habib Ammari
Assuming a reading speed of 250 words per minute. Learn more
This volume contains the proceedings of the conference “Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion'', held June 28-July 1, 2011, at the University of Oxford.<br><br> The mathematical analysis of PDE modelling materials, or tissues, presenting multiple scales has been an active area of research for more than 40 years. The study of the corresponding imaging, or reconstruction, problem is a more recent one. If the material parameters of the PDE present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyse, or compute. Similar difficulties occur in time dependent equations in high frequency regimes. Over the last decade the analysis of the inversion problem at moderate frequencies, the rigourous derivation of asymptotics at high frequencies, and the regularity properties of solutions of elliptic PDE in highly heterogeneous media have received a lot of attention.<br><br> The focus of this volume is on recent progress towards a complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. The volume also includes contributions on the inverse problem, both on its analysis and on numerical reconstructions. It offers the reader a good overview of current research and direction for further pursuit on multiscale problems, both in PDE and in signal processing, and in the analysis of the equations or the computation of their solutions. Special attention is devoted to new models and problems coming from physics leading to innovative imaging methods.
Multi-scale and High-contrast PDE by Habib Ammari is 144 pages long, and a total of 36,576 words.
This makes it 49% the length of the average book. It also has 45% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 19 minutes to read Multi-scale and High-contrast PDE aloud.
Multi-scale and High-contrast PDE is suitable for students ages 10 and up.
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