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Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
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2012/4/18
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
Operator Splitting Method Initial Value Problems Iterative Solver Method Stability Analysis Beam Propagation Methods Transport and Maxwell Equations
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2013/1/30
In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced che...
The FD-method for solving Sturm-Liouville problems with special singular differential operator
FD-method Sturm-Liouville problems singular differential operator Numerical Analysis
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2011/9/23
Abstract: In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with boundary co...
Towards the Capacity Region of Multiplicative Linear Operator Broadcast Channels
Capacity Region Multiplicative Linear Operator Broadcast Channels
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2011/2/28
Recent research indicates that packet multicasting employing random linear network coding can be regarded as transmitting subspaces as codewords over a linear operator channel (LOC).
Compactness of the $\bar\partial $ - Neumann operator on weighted $(0,q)$- forms
@-Neumann problem Sobolev spaces compactness
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2011/2/24
As an application of a new characterization of compactness of the @-Neumann operator we derive a sufficient condition for compactness of the @- Neumann operator on (0, q)-forms in weighted L2-spaces o...
On the Characteristic Curvature Operator
the Characteristic Curvature Operator math
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2010/11/11
We introduce the Characteristic Curvature as the curvature of the trajectories of the hamiltonian vector field with respect to the normal direction to the isoenergetic surfaces and by using the Secon...
The $\star$-operator and Invariant Subtraction Games
Beatty sequence Complementary sequences Dual game
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2010/12/9
We study 2-player impartial games, so called invariant subtraction games, of the type, given a set of allowed moves the players take turn in moving one single piece on a large Chess board towards the ...
Approximation properties determined by operator ideals
Approximation properties determined operator ideals
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2010/12/7
Given an operator ideal I, a Banach space E has the I-approximation property if operators on E can be uniformly approximated on com-pact subsets of E by operators belonging to I. In this paper the I-a...
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
Laplace-Beltrami operator Convergence Spherical triangulation, Truncation error
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2012/7/31
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modi痚d discrete Lap...