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22 May 2024: Analysis of collocation methods for Fredholm integral equations. In collaboration with Prof. ... Convergence analysis of least-squares oversampled collocation methods for Fredholm integral equations.

5 Dec 2023: problem, approximation in L1 vs L2. 5. Fredholm Theory and linear integral equations.

v1(0) = 1, v2(0) = 0,. or the system of Volterra integral equations. ... 6 Chebyshev polynomial approximations. of second kind Fredholm integral equations with symmetric kernel containingMacDonald’s function of the complex order K1/2iτ (x).

17 Jun 2019: Gravity g acts vertically and surface tension is negligible. Assuming that the horizontal velocity component u and pressure p satisfy thelubrication equations. ... 17C Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral

6 Dec 2020: Mathematics Subject Classification (2010): 47A10, 65J10, 46N40, 03D55. 1 IntroductionSpectral computations are ubiquitous in the sciences with applications in solutions to differential and in-tegral equations, spline functions, orthogonal polynomials

10 Apr 2008: 2000 Mathematics Subject Classification: Primary: 45C05; Secondary: 65R20,45M05. Keywords: Complex-symmetric Fredholm integral operator, highly oscillatory kernel,asymptotic behaviour of spectrum, Fredholm integral equations, asymptotic behaviour

13] V. S. Rabinovich and S. Roch: The Fredholm index of locally compactband-dominated operators on Lp(R), Integral Equations and Operator Theory,57 (2007), 263–281. ... 14] V. S. Rabinovich, S. Roch and J. Roe: Fredholm indices of

26 Mar 2011: Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm integral equations. ... J. Integral Equations Appl.,to appear. [11] J. A. Cochran, The existence of eigenvalues for the integral equations of lasertheory.

a number of one-parameter models, we start with the following lemma, which results in thetheory of Fredholm-Volterra integral equations [see Mason and Handscomb(2002), Ch. ... H(u,v) =1. |u v|α(1 v2)(1α)/2.(4.9). It appears in the theory of

17 Jun 2019: Show that the solution to the approximate equations is given by a streamfunctionψ proportional to P. ... eiu2du =. πeiπ/4.]. Part II 2002. 26. A3/17 Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral equations of the second