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Figure 1:
Function ![]() |
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Figure 2:
Lagrange cardinal polynomials ![]() ![]() ![]() |
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Figure 3:
Function ![]() |
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Figure 4:
Function ![]() |
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Figure 5:
Same as Figure 4 but using a grid based on the zeros of Chebyshev polynomials. The Runge phenomenon is no longer present. |
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Figure 6:
Function ![]() ![]() ![]() |
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Figure 7:
Function ![]() ![]() ![]() ![]() |
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Figure 8:
First Legendre polynomials, from ![]() ![]() |
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Figure 9:
First Chebyshev polynomials, from ![]() ![]() |
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Figure 10:
Maximum difference between ![]() ![]() ![]() |
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Figure 11:
Step function (black curve) and its interpolant, for various values of ![]() |
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Figure 12:
Exact solution (64 ![]() ![]() ![]() ![]() |
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Figure 13:
Exact solution (64 ![]() ![]() ![]() ![]() |
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Figure 14:
Exact solution (64 ![]() ![]() ![]() ![]() |
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Figure 15:
The difference between the exact solution (64 ![]() ![]() |
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Figure 16:
Difference between the exact and numerical solutions of the following test problem. ![]() ![]() ![]() ![]() ![]() |
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Figure 17:
Regular deformation of the ![]() |
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Figure 18:
Two sets of spherical domains describing a neutron star or black hole binary system. Each set is surrounded by a compactified domain of the type (89 ![]() |
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Figure 19:
Definition of spherical coordinates ![]() ![]() ![]() |
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Figure 20:
Regions of absolute stability for the Adams–Bashforth integration schemes of order one to four. |
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Figure 21:
Regions of absolute stability for the Runge–Kutta integration schemes of order two to five. Note that the size of the region increases with order. |
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Figure 22:
Eigenvalues of the first derivative-tau operator (124 ![]() ![]() |
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Figure 23:
Behavior of the error in the solution of the differential equation (135 ![]() ![]() ![]() |
http://www.livingreviews.org/lrr-2009-1 |
Living Rev. Relativity 12, (2009), 1
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