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PUBLICATION LIST -- J
www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf3 Jun 2024: Electrostatics”, SIAM J. Math. Anal. 20 (1989) 1283-1292. 94. M. Cancurtaran, G. ... with a transformation invariant form”. New J. Physics 8 (2006), 248 (20 pages). -
Computational Projects Lecture 3: Numbers and numerical errors…
www.damtp.cam.ac.uk/user/rlj22/catam/L3-errors.pdf30 Apr 2024: Bits. On 64-bit architectures, we are basically ok for integers of up to 20 digits (in decimal notation). -
5. When Gravity is Weak The elegance of the ...
www.damtp.cam.ac.uk/user/tong/gr/five.pdf31 May 2024: Hµ! Hµ i (kµ kµ kµ) (5.20). Polarisation matrices that dier in this way describe the same gravitational wave. ... We’re left withZ. d3x0 T ij(x0, t) =1. 2@20. Z. d3x0 T 00(x0, t)x0ix0j. -
2. Introducing Di↵erential Geometry Gravity is geometry. To fully ...
www.damtp.cam.ac.uk/user/tong/gr/two.pdf31 May 2024: about an interesting person and having to spend the first 20 pages wading through. ... so, from (2.20),. the pull-back of a basis vector dxµ is. -
Vector CalculusUniversity of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc1.pdf12 Jun 2024: fixed. – 20 –. For scalar fields (x, y, z) in R3, the gradient is. -
6 Tensors A famously annoying definition of a tensor ...
www.damtp.cam.ac.uk/user/tong/vc/vc6.pdf12 Jun 2024: 6.17) is the integration over a p-dimensional subspace,. Z. M. Ti1.ip dSi1.ip (6.20). -
G-Adaptive mesh refinement - leveraging graphneural networks and…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf11 Jun 2024: Such methods offer certain advantages (forexample in high dimensional settings [20]), but are typically outperformed by traditional numericalmethods in accuracy in most settings [17]. ... 20] J. Han, A. Jentzen, and W. E. Solving high-dimensional partial -
J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223 Flow…
www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A10.pdf10 Jun 2024: ζ = De(1 η) = Deη̃ for η̃ 1, (3.20)so that De(1 η2) = ζ (2 η̃) 2ζ. ... Specifically, substituting(3.1) into (2.20) yields at O(β̃) the pressure drop P1,. -
Vector Calculus University of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc.pdf12 Jun 2024: fixed. – 20 –. For scalar fields ϕ(x,y,z) in R3, the gradient is. -
J. Fluid Mech. (2024), vol. 988, A11, doi:10.1017/jfm.2024.260 Fast…
www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A11.pdf31 May 2024: We shall discuss in 4.1 how long the exit channel must be, but typicalvalues range from x = 5 to x = 20. ... 0.8. 1.0. A11. (1, y. )/A. 11(. , y). y. De = 0.10.20.30.40.5.
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