Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind [PDF]
, 2019 The singularity subtraction technique for computing an approximate solution of a linear weakly singular Fredholm integral equation of the second kind is generalized to the case of a nonlinear integral equation of the same kind. Convergence of the sequence of approximate solutions to the exact one is proved under mild standard hypotheses on the ...
Ahues, Mario +3 more
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Approximation of weakly singular integral equations by sinc projection methods [PDF]
ETNA - Electronic Transactions on Numerical Analysis, 2020 In this paper, two numerical schemes for a nonlinear integral equation of Fredholm type with weakly singular kernel are proposed. These numerical methods combine sinc-collocation and sinc-convolution approximations with Newton and steepest descent iterative methods that involve solving a nonlinear system of equations.
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Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]
Archives of Control SciencesThis work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems. For optimum controls, we prove a second-order Pontryagin type maximal principle.
Jasarat J. Gasimov, Nazim I. Mahmudov
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A RIGID STAMP INDENTATION INTO A SEMIPLANE WITH A CURVATURE-DEPENDENT SURFACE TENSION ON THE BOUNDARY [PDF]
, 2016 Citation: Walton, J. R., & Zemlyanova, A. Y. (2016). A RIGID STAMP INDENTATION INTO A SEMIPLANE WITH A CURVATURE-DEPENDENT SURFACE TENSION ON THE BOUNDARY. Siam Journal on Applied Mathematics, 76(2), 618-640.
Walton, Jay R., Zemlyanova, Anna Y.
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Volume and surface integral equations for electromagnetic scattering by a dielectric body
, 2010 13 pagesInternational audienceWe derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is
Costabel, Martin +2 more
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Theoretical basis of regularized integral equations for elastostatic crack problems [PDF]
, 1990 International audienceIntegral equations derived by means of the potential theory for statical crack problems are singular in the sense of the principal value.
Le Van, Anh, Royer, Jean
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A Product Integration type Method for solving Nonlinear Integral Equations in L
, 2016 This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ([a, b], C). As numerical method, we extend the product integration scheme from C 0 ([a,
Ahues, M., Grammont, L., Kaboul, H.
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Mathematical Modelling and Analysis, 1997 „Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
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Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions [PDF]
, 2019 In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind.
Bao, Gang, Xu, Liwei, Yin, Tao
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Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Molecular Oncology, EarlyView.Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung +17 more
wiley +1 more source