Advances in Numerical Mathematics – serie
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11 produkter
Wavelet Methods — Elliptic Boundary Value Problems and Control Problems
Häftad, 2001
366 kr
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While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has more and more also been recognized for problems in Numerical Analysis. Together with the functional analytic framework for different differential and integral …
Computational Micromagnetism
Häftad, 2001
551 kr
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In this work, we study numerical issues related to a common mathematical model which describes ferromagnetic materials, both in a stationary and non stationary context. Electromagnetic effects are accounted for in an extended model to study nonstationary magneto-electronics. The last part deals …
Numerische Näherungsverfahren für elliptische Randwertprobleme
Finite Elemente und Randelemente
Häftad, 2003
343 kr
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Fur die naherungsweise Losung von Randwertproblemen zweiter Ordnung wird eine einheitliche Theorie der Finiten Elemente Methode und der Randelementmethode prasentiert. Neben der Stabilitats- und Fehleranalysis wird vor allem auf effiziente Losungsverfahren eingegangen. Fur die Diskretisierung der …
Parallel Multilevel Methods
Adaptive Mesh Refinement and Loadbalancing
Häftad, 2003
420 kr
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Numerical simulation promises new insight in science and engineering. In ad dition to the traditional ways to perform research in science, that is laboratory experiments and theoretical work, a third way is being established: numerical simulation. It is based on both mathematical models and …
Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations
Häftad, 1997
551 kr
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Projection methods had been introduced in the late sixties by A. Chorin and R. Teman to decouple the computation of velocity and pressure within the time-stepping for solving the nonstationary Navier-Stokes equations. Despite the good performance of projection methods in practical computations, …
Mehrdimensionale ENO-Verfahren
Zur Konstruktion nichtoszillatorischer Methoden für hyberbolische Erhaltungsgleichungen
Häftad, 1997
568 kr
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Multiskalen- und Wavelet-Matrixkompression
Analysisbasierte Methoden zur effizienten Lösung großer vollbesetzter Gleichungssysteme
Häftad, 1998
513 kr
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Finite-Volumen- und Mehrgitter-Verfahren für elliptische Randwertprobleme
Häftad, 1998
517 kr
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Zum Kontext dieses Buches Die numerische Behandlung partieller Differentialgleichungen beinhaltet im allgemeinen die Lösung großer bis sehr großer Gleichungssysteme. Bei dreidimensionalen Problemen z. B. sind mehrere Millionen Unbekannte keine Seltenheit, und obwohl die Rechenleistung der stärksten …
Direct Method for Parabolic PDE Constrained Optimization Problems
Häftad, 2013
551 kr
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Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the …
Numerical solution of Variational Inequalities by Adaptive Finite Elements
Häftad, 2008
551 kr
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This work describes a general approach to a posteriori error estimation and adaptive mesh design for ?nite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is …
Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control
Häftad, 2011
1098 kr
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Current industrial practice knows many optimization tasks that can be cast as mixed-integer optimal control problems. Due to the combinatorial character of these problems, the computation of optimal solutions under real-time constraints is still a demanding challenge.Starting with Bock's direct …
