Hans Buckner. A special method of successive approximations for Fredholm integral equations. Duke Mathematical Journal, 15:197--206, 1948. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
in Global Illumination * - James Arvo Program (Correct)
....obtained by summing the iterated kernels of 11 orders up to m( z) k( z) 44) where k0 is taken to be the identity. Finally, we can express the tth approximation f, in terms of the kernel m: f, f m ( g(y) ds. 45) 5. 2 Successive Approximations The method of successive appcoximatiots [5, 22] is a slight variation on the Neumann series. Rather than focusing on the operators or their kernels, as in the previous section, we formulate an iterative scheme based on the functions. Using the previous definitions, we h f, Mg = g Kg K2g . Kg. 46) It follows immediately that the ....
Hans Bricknet. A special method of successive approximations for Fredholm integral equations. Duke Mathematical Joural, 15:197 206, 1948.
Linear Operators and Integral Equations in Global Illumination - Arvo (1993) (1 citation) (Correct)
....of all orders up to n: m n (x; z) j n X i=0 k i (x; z) 44) where k 0 is taken to be the identity. Finally, we can express the nth approximation f n in terms of the kernel m n : f n (x) Z m n (x; y) g(y) dy: 45) 5. 2 Successive Approximations The method of successive approximations [5, 22] is a slight variation on the Neumann series. Rather than focusing on the operators or their kernels, as in the previous section, we formulate an iterative scheme based on the functions. Using the previous definitions, we have f n = M n g = g Kg K 2 g Delta Delta Delta K n g: 46) It ....
Hans Buckner. A special method of successive approximations for Fredholm integral equations. Duke Mathematical Journal, 15:197--206, 1948. Linear Operators and Integral Equations 2-19
Linear Operators and Transfer Equations in Global Illumination - Arvo (Correct)
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Hans Buckner. A special method of successive approximations for Fredholm integral equations. Duke Mathematical Journal, 15:197--206, 1948.
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