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19 Jun 2024: Opportunities. The Fredholm Factorization Method Directly Applied to Generalized Wiener-Hopf Equations. ... The technique is combined with special complex mapping to transform GWHEs into Classical Wiener-Hopf equations.

19 Jun 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series. ... Publications. Stability and Asymptotic

19 Jun 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series. ... Publications. Stability and Asymptotic

11 Jun 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.

19 Jun 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series. ... Publications. Stability and Asymptotic

19 Jun 2024: The computation of the spectra of highly oscillatory fredholm integral operators. ... H Brunner, A Iserles, SP Norsett – Journal of Integral Equations and Applications (2011) 23, 467.

17 Nov 2010: 60. Iserles. Numerical methods for differential equations in Lie groups. 61. ... Iserles. The computation of Fredholm spectra. 62. Jozsa. Classical simulation of quantum computations.

Consider the system of two second order differential equations (k = 2) inmore detail. ... 6 Chebyshev polynomial approximations. of second kind Fredholm integral equations with symmetric kernel containingMacDonald’s function of the complex order

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

19 Jun 2024: Approximate solutions to Wiener-Hopf equations via the implicit quadrature scheme. ... The Fredholm Factorization Method Directly Applied to Generalized Wiener-Hopf Equations.

19 Jun 2024: 2011). 1. (doi: 10.1109/MLSP.2011.6064632). The computation of the spectra of highly oscillatory fredholm integral operators. ... H Brunner, A Iserles, SP Norsett. – Journal of Integral Equations and Applications.

16 Oct 2007: 2.1. Governing equations. In general, regions of the porous medium may only be partially saturated by thewetting liquid (water), leaving some residual air saturation. ... 250 D. Vella and H. E. Huppert. C. Upon discretizing the contour C, (3.3) gives

8 Jan 2008: It is helpful, when considering the form of our proof for Theorem 9.4, toobserve that if there are different solutions of the equations then a series of‘approximate solutions’ may

21 May 2005: Prove the Fredholm alternative: Letλ R, λ 6= 0, and let x0 H. ... Consider the equations. Tx = λx (1). Tx = λx x0 (2).

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

22 Feb 2024: Singh, "Efficient methods for time-dependence in semiclassical Schrödinger equations", Proc. Royal Soc. ... Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations" IMA J.

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 Jan 2017: NA2008/05: Hermann Brunner, Arieh Iserles & Syvert Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations". ... NA2004/02: Arieh Iserles, "On the method of Neumann series for highly oscillatory equations".

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

10 Apr 2008: Therange of issues that we wish eventually to bring under scrutiny include spectral problemsfor Fredholm operators, and also the solution of Fredholm and Volterra equations, all withhighly oscillatory kernels. ... 9406). They alsowish to acknowledge