Titlebook: Numerical Approximation of Partial Differential Equations; Sören Bartels Textbook 2016 Springer International Publishing Switzerland 2016

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协定

HILAR

Elliptic Partial Differential Equationsions of classical derivatives based on a multidimensional integration-by-parts formula. The chapter introduces Sobolev spaces, discusses their main properties, states existence theories for elliptic second order linear partial differential equations, and sketches regularity results for solutions.

阴险

过于光泽

Local Resolution Techniquesonvex domains. Optimal rates can be obtained using locally refined triangulations which are either specifically constructed for particular domains or generated automatically via adaptive mesh-refinement algorithms. Both approaches are introduced, their convergence is analyzed, and their implementati

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Feature

CLOWN

Mixed and Nonstandard Methodsaracteristic properties of convection-dominated equations and their numerical approximation via introducing stabilizing terms is investigated. Flexible discontinuous Galerkin methods are derived and analyzed for a model Poisson equation. Simple implementations illustrate the performance of the numer

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烦忧

sesJacques Barzun, the noted Columbia University historian of ideas and culture, once described the feeling that some people experience when they come upon a new reference book. He wrote: “Hand over to one of us a new Dictionary, “Companion,” or Guide, and our eyes first light up and then turn dream