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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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JCPHY
2011
89views more  JCPHY 2011»
12 years 10 months ago
Numerically stable fluid-structure interactions between compressible flow and solid structures
We propose a novel method to implicitly two-way couple Eulerian compressible flow to volumetric Lagrangian solids. The method works for both deformable and rigid solids and for a...
Jón Tómas Grétarsson, Nipun K...
JSCIC
2010
97views more  JSCIC 2010»
13 years 2 months ago
Finite Element Characteristic Methods Requiring no Quadrature
The characteristic methods are known to be very efficient for convection-diffusion problems including the Navier-Stokes equations. Convergence is established when the integrals ar...
Olivier Pironneau
SIAMNUM
2010
127views more  SIAMNUM 2010»
13 years 2 months ago
The Discrete Duality Finite Volume Method for Convection-diffusion Problems
In this paper we extend the discrete duality finite volume (DDFV) formulation to the steady convection-diffusion equation. The discrete gradients defined in DDFV are used to define...
Yves Coudière, Gianmarco Manzini

Book
814views
15 years 5 months ago
Numerical Computing with MATLAB
"Numerical Computing with MATLAB is a textbook for an introductory course in numerical methods, Matlab, and technical computing. The emphasis is on informed use of mathematic...
Cleve Moler
SCALESPACE
2007
Springer
14 years 1 months ago
Numerical Invariantization for Morphological PDE Schemes
Abstract. Based on a new, general formulation of the geometric method of moving frames, invariantization of numerical schemes has been established during the last years as a powerf...
Martin Welk, Pilwon Kim, Peter J. Olver