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This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.
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Numerical analysis --- Mathematics --- Computer. Automation --- computervisie --- informatica --- wiskunde --- numerieke analyse
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Inverse problems such as imaging or parameter identification deal with the recovery of unknown quantities from indirect observations, connected via a model describing the underlying context. While traditionally inverse problems are formulated and investigated in a static setting, we observe a significant increase of interest in time-dependence in a growing number of important applications over the last few years. Here, time-dependence affects a) the unknown function to be recovered and / or b) the observed data and / or c) the underlying process. Challenging applications in the field of imaging and parameter identification are techniques such as photoacoustic tomography, elastography, dynamic computerized or emission tomography, dynamic magnetic resonance imaging, super-resolution in image sequences and videos, health monitoring of elastic structures, optical flow problems or magnetic particle imaging to name only a few. Such problems demand for innovation concerning their mathematical description and analysis as well as computational approaches for their solution.
Numerical analysis --- Mathematics --- Computer. Automation --- computervisie --- informatica --- wiskunde --- numerieke analyse
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Numerical analysis --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- datamining --- data acquisition --- numerieke analyse
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Numerical analysis --- Mathematics --- Planning (firm) --- Computer science --- Computer. Automation --- informatica --- mathematische modellen --- wiskunde --- informaticaonderzoek --- numerieke analyse
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Mathematical analysis --- Numerical analysis --- Mathematics --- Mathematical physics --- analyse (wiskunde) --- wiskunde --- fysica --- numerieke analyse
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Numerical analysis --- Mathematics --- Classical mechanics. Field theory --- Music --- toegepaste wiskunde --- muziek --- wiskunde --- mechanica --- numerieke analyse
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Differential equations --- Numerical analysis --- Mathematics --- Geophysics --- Planning (firm) --- differentiaalvergelijkingen --- mathematische modellen --- wiskunde --- geofysica --- numerieke analyse
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Mathematical analysis --- Numerical analysis --- Mathematics --- Computer. Automation --- analyse (wiskunde) --- informatica --- wiskunde --- numerieke analyse
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