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Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration
Approximation Optimal Recovery Holomorphic
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2013/1/30
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by integration alo...
A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM)
Gas Dynamics Conservation Laws Spectral Deferred Corrections (SDC) Methods Piecewise Parabolic Method (PPM) Godunov Methods High Resolution Schemes
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2013/1/30
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
Schwarz Christoffel conformal mapping numerical integration extended finite element method quadrature generalized finite element method
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2011/9/20
Abstract: Partition of unity methods, such as the extended finite element method (XFEM) allow discontinuities to be simulated independently of the mesh [1]. This eliminates the need for the mesh to be...
Quantum Complexity of the Integration Problem for Anisotropic Classes
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2007/12/12
We obtain the optimal order of high-dimensional integration complexity in the quantum computation model in anisotropic Sobolev classes $W_{\infty}^{\bf r}([0,1]^d)$ and H$\rm{\ddot{o}}$lder Nikolskii ...