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

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協(xié)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.

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過于光澤

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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煩憂

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