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Differential equations. --- Equations différentielles --- 517.91 Differential equations --- Differential equations --- Equations différentielles --- 517.91. --- Numerical solutions --- 517.91
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The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and als
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Czech Republic --- Geography. --- 91 <437> --- Geography--Tsjechië
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Computational Techniques for Differential Equations
Differential equations --- Differential equations, Partial --- Numerical solutions --- 517.91 Differential equations --- 517.91 --- Congresses
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Ordinary differential equations --- Differential equations --- Equations différentielles --- Differential equations. --- Equations, Differential --- Bessel functions --- Calculus --- 517.91 Differential equations --- Equations différentielles --- 517.91. --- Numerical solutions --- 517.91
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The book contains twenty-two original scientific research articles that address the state-of-the-art in using partial differential equations for image and signal processing. The articles arose from presentations given at the international conference on PDE-Based Image Processing and Related Inverse Problems, held at the Centre of Mathematics for Applications, University of Oslo, Norway, August 8-12, 2005. The purpose of the conference was to bring together international - searchers to present various aspects of new developments in using numerical techniques for partial differential equations to analyse and process digital - ages. Various aspects of new trends and techniques in this field were discussed in the conference, covering the following topics: • Level set methods and applications • Total variation regularization and other nonlinear filters • Noise analysis and removal • Image in painting • Image dejittering • Optical flow estimation • Image segmentation • Image registration • Analysis and processing of MR images and brain mapping • Image construction techniques • Level set methods for inverse problems Inverse problems for partial differential equations have large areas of app- cations. Although image analysis and PDE inverse problems seem to be - related at a first glance, there are many techniques used in one of these two areas that are useful for the other. One goal of the conference was to highlight some of the recent efforts in merging some of the techniques for these two research areas.
Image processing --- Differential equations --- Digital techniques --- 517.91 Differential equations
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