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Titlebook: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014; Selected papers from Robert M. Kirby,Martin Berzins,Jan S

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Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investi the investigation is to show how the different concepts like well-posedness, conservation and stability are related. The equations are discretized using high order finite difference methods on Summation By Parts (SBP) form. The interface conditions are weakly imposed using the Simultaneous Approxim
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Hybrid Compact-WENO Finite Difference Scheme For Detonation Waves Simulationserence scheme (Hybrid) for the detonation waves simulations is investigated. The Hybrid scheme employs the nonlinear 5.-order WENO-Z scheme to capture high gradients and discontinuities in an essentially non-oscillatory manner and the linear 6.-order Compact scheme to resolve the fine scale structur
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On the Solution of the Elliptic Interface Problems by Difference Potentials Methodmany problems with physical and biological applications. The major challenge here is to design an efficient and accurate numerical method that can capture certain properties of analytical solutions in different domains/subdomains while handling arbitrary geometries and complex structures of the doma
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