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3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;. ... Functional-differential equations with proportional delay. The structure of attractors of the discretized

30 Nov 2009: Spectra of highly oscillatory Fredholm integral operators 15. =. 1. 1Pm(x) cos ωxdx. ... Spectra of highly oscillatory Fredholm integral operators 29. 3.5 Large-n asymptotics.

10 Apr 2008: On the other hand, the solution f C(I) of the Fredholm equation (1.4) with kernel (1.2),(1.7) (and µ1 6= λj (j = 1,. , ... Insofar as the solution of the Fredholm equation of the second kind (4.1) is concerned, wehave implicitly introduced in this

27 Apr 2019: ds = 0, (2.6). where v is any solution to the (adjoint) Helmholtz equation. ... Choosing the Green’s function that satisfies ahomogeneous Dirichlet boundary condition on the x-axis, the boundary integral equations giverise to the following Fredholm

23 Sep 2020: Suchboundary conditions, namely the varying physicalparameters and coupled thin-plate equation, presenta considerable challenge to current methods. ... and difficult due to the need to solve a matrix, rather than ascalar, Wiener–Hopf equation.

26 Jul 2013: Although our equivalent to an equation. of state is too complicated to show a simple relationship between. ... Eqn (21) is a well-posed. Fredholm integral equation of the second kind for the unknown.

29 Jan 2022: The common way to solve this Fredholm integral equation of the second kind is to use theiteration scheme under the assumption α 1 with f = f0 as initial guess [20]. ... Soc. A. 275, 23 (1963).[51] G. T. Symm and H. Jones, Integral equation methods in

16 Jul 2018: Algebraic SBTs typically representthe flow around a rigid body through a one-dimensional Fredholm equation of thesecond kind. ... Similarly to other SBT treatments,these relationships are either linear or a one-dimensional Fredholm equation of thesecond

10 Jul 2009: dimensional potential flow and the basic partial differential equation is Laplace’s equation. ... n′G(x,x′)p(x. ′). n′. )dl′, (3.2). where x = (x,y). This gives us an inhomogeneous Fredholm equation of the first kind to be solved at.

10 Apr 2011: x2 x8!21 h x!2 h x8! 2,. 6! where the vortex sheet strengthg satisfies a Fredholm integral equation of the second kindg 1 2AmŪ@ g #• 1,hx! ... h̄ can be scaled out of the equation, but we did ndo so!