Titlebook: Topics in Numerical Partial Differential Equations and Scientific Computing; Susanne C. Brenner Book 2016 Springer Science+Business Media

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Topics in Numerical Partial Differential Equations and Scientific Computing

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Study of Discrete Scattering Operators for Some Linear Kinetic Models,e also present numerical experiments to demonstrate the performance of these methods. Understanding how the scattering operators are approximated can provide insights into designing efficient algorithms for simulating kinetic models and for the implicit discretizations of the problems in the presence of multiple scales.

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Study of a Mixed Dispersal Population Dynamics Model,e that the optimal favorable region tends to be a simply connected domain. Numerous results are shown to demonstrate various scenarios of optimal favorable regions for periodic and Dirichlet boundary conditions.

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0940-6573 Association for Women in Mathematics.Includes supplementary.Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment.  This volume contains

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,A , Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints,se state constraints, which is based on the formulation of these problems as fourth order variational inequalities. We obtain numerical results that are similar to the ones reported in [., .] for fourth order variational inequalities in two dimensions. The deal.II library [., .] is used for the nume

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