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7 Feb 2005: Mathematical Tripos Part IILent 2005. Professor A. Iserles. Numerical Analysis – Lecture 121. Methods 3.25A generalν-stageRunge–Kutta methodis. kl = f. . tn clh, yn h. ν. j=1. al,j kj. .  where. ν. j=1. al,j = cl, l = 1, 2,. ,

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4 Mar 2005: Implementation 5.24 It is quite usual to solvehyperbolic PDEs (advection equation, wave equation,Schr̈odinger equation, Euler equations of invicid compressibleflow. )

5 Sep 2005: Phys. Commun. 162 24[20] Pask J E and Sterne P A 2005 Modelling Simul. ... Rev. Lett. 93 176403[24] Mostofi A A, Skylaris C-K, Haynes P D and Payne M C 2002 Comput.

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7 Feb 2005: y0, n = 0, 1, 2,. 24. The following four-stage Runge–Kutta method has order four,.

15 Jun 2005: α0. 24 1(1)(2). 35 = α0w = nXi=1. αsvmi yiG1(oi; ) (22). ... O; )). 375 (24)This allowsβ to be set using maximum margin training. Howeverempirically settingβ has a number of advantages.

12 Apr 2005: 302k 9k+ 16.0 13.9 24.8 –MLE 415k 9k+ 16.0 13.5 24.3 –. 398k 12k+ 16.1 13.6 24.5 –. 302k 9k+ 13.2 11.2 ... dev04 eval03 dev04f. MLEMPron 16.0 13.6 24.5SPron 15.6 13.5 24.2. MPEMPron 12.9 11.1 19.1SPron 12.7 10.8 18.8.

29 Jan 2005: 20. we might take. E1,1 =. . . . 24 12. ... . , E1,2 =. . . . 24. 2. 4 02.