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Neumann kernel

Integral equation approach for computing green’s function on doubly connected regions via the generalized Neumann kernel

Integral equation approach for computing green’s function on doubly connected regions via the generalized Neumann kernel

... This research is about computing the Green’s function on doubly connected regions by using the method of boundary integral equation. The method depends on solving a Dirichlet problem. The Dirichlet problem is then solved ...

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A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

... The mixed boundary value problem also can be reformulated as an RH problem (see, e.g., [–]). Recently, Nasser et al. [] have presented a uniquely solvable boundary inte- gral equation with the generalized ...

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A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

... the Neumann boundary conditions on multiply connected ...generalized Neumann kernel. The generalized Neumann kernel which will be considered in this paper is slightly different from the ...

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Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel

Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel

... the Neumann problem, and the mixed Dirichlet-Neumann problem can all be treated as Rie- mann Hilbert (briefly RH) problems as discussed in ...generalized Neumann kernel has been investigated in ...

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Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions

Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions

... generalized Neumann kernel and its adjoint kernel ...generalized Neumann kernel are presented in Section ...the Neumann problems is presented in Section ...

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An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel

An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel

... In this paper we have constructed a system of integral equations for numerical conformal mapping of doubly connected regions onto a unit disc with a concentric circular slit of radius µ. The system involved the ...

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Solving a mixed boundary value problem via an integral equation with the generalized neumann kernel on unbounded multiply connected region

Solving a mixed boundary value problem via an integral equation with the generalized neumann kernel on unbounded multiply connected region

... In this paper, we solve the mixed boundary value problem on unbounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the mixed boundary value ...

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Boundary integral equation with the generalized Neumann kernel for computing green’s function for multiply connected regions

Boundary integral equation with the generalized Neumann kernel for computing green’s function for multiply connected regions

... generalized Neumann kernel for simply connected regions with smooth and piecewise boundaries have been investigated by Wegmann et ...problem, Neumann problem and mixed Dirichlet- Neumann ...

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Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel

Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel

... generalized Neumann kernel GNK has been investigated in [14] for simply connected regions with smooth boundaries and in [15-16] for bounded and unbounded doubly connected and multiply connected ...

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Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region

Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region

... generalized Neumann kernel has been investigated in Wegmann et ..., Neumann problem and mixed Dirichlet- Neumann problem can all be treated as RH problems as discussed in Nasser (2009b), Murid ...

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Boundary integral equations approach for numerical conformal mapping of multiply connected regions

Boundary integral equations approach for numerical conformal mapping of multiply connected regions

... The research problem is to formulate new integral equations for conformal mapping of multiply connected regions with smooth boundaries onto the disk with concentric circular slits and an annulus with concentric circular ...

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Circular slits map of bounded multiply connected regions

Circular slits map of bounded multiply connected regions

... generalized Neumann kernel is then used to solve the RH problem as developed in ...generalized Neumann kernel for conformal mapping of bounded doubly connected regions onto a disk with ...

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An integral equation method for conformal mapping of doubly connected regions via the Kerzman-Stein and the Neumann Kernels

An integral equation method for conformal mapping of doubly connected regions via the Kerzman-Stein and the Neumann Kernels

... the Neumann kernel that are the special realizations of the boundary integral equation derived by Murid and Razali ...the Neumann kernel can be reduced to the numerically tractable Fredholm ...

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An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries

An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries

... This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions. The integral ...

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Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits

Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits

... classical Neumann kernel associated to f c f , where f is a conformal mapping of bounded multiply connected regions onto a disk with circular slit ...

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An integral equation method for conformal mapping of doubly and multiply connected regions via the kerzaman-stein and neumann kernels

An integral equation method for conformal mapping of doubly and multiply connected regions via the kerzaman-stein and neumann kernels

... the Neumann and the Kerzman-Stein ...Kerzman-Stein kernel related to conformal mapping of doubly connected regions onto an annulus obtained in Chapter ...

160

Kernel Mean Shrinkage Estimators

Kernel Mean Shrinkage Estimators

... reproducing kernel Hilbert space (RKHS), or a kernel mean, is central to kernel methods in that it is used by many classical algorithms such as kernel principal component analysis, and it also ...

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Von Neumann entropy and majorization

Von Neumann entropy and majorization

... In the following, we shall characterize the structure of a quantum channel that does not change the von Neumann entropy of any quantum state. In [11], Moln´ar and Szokol gave the structure of the map which ...

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C-Support Vector Classification the Estimation of the MS Subgroups Classification with Selected Kernels and Parameters

C-Support Vector Classification the Estimation of the MS Subgroups Classification with Selected Kernels and Parameters

... (RBF) kernel, Poly- nomial kernel, Sigmoid kernel and Linear kernel which are considered as C-SVC algorithms ...C-SVC kernel (Radial Basis Function kernel, Polynomial ...

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The von Neumann entropy of networks

The von Neumann entropy of networks

... We normalize the combinatorial Laplacian of a graph by the degree sum, look at its eigenvalues as a probability distribution and then study its Shannon entropy. Equivalently, we represent a graph with a quantum ...

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