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Titlebook: Mathematical Modelling, Optimization, Analytic and Numerical Solutions; Pammy Manchanda,René Pierre Lozi,Abul Hasan Siddiq Book 2020 Sprin

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,Schrödinger Operators with a Switching Effect,e the effect of an abrupt spectral change for some classes of Schrödinger operators depending on the value of the coupling constant, from below bounded and partly or fully discrete, to the continuous one covering the whole real axis. A prototype of such a behavior can be found in the Smilansky–Solom
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Mixed-Integer Optimal Control for PDEs: Relaxation via Differential Inclusions and Applications to s yields a relaxation result including a characterization of the optimal value for mixed-integer optimal control problems with control constraints. The theory is related to partial outer convexification and sum-up rounding methods. The results are applied to optimal valve switching control for gas p
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Inverse Problems Involving PDEs with Applications to Imaging, namely electrical impedance and diffuse optical tomography to introduce and describe inverse problems involving PDEs. We also discuss the mathematical difficulties and challenges for image reconstruction in practice. We describe both deterministic and statistical regularization techniques including
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Resilience and Dynamics of Coral Reefs Impacted by Chemically Rich Seaweeds and Unsustainable Fishimon and significant reasons for the decline of healthy corals. Some seaweeds release chemicals that are harmful to corals. The chemicals released by toxic seaweeds damage corals in areas of direct contact. While herbivorous reef fish play an important role in preventing the overgrowth of seaweeds on
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