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A method for reduction of differential problems to integral equations. (English. Russian original) Zbl 0786.65091
J. Sov. Math. 63, No. 5, 512-516 (1993); translation from Vychisl. Prikl. Mat., Kiev 62, 8-14 (1987).
See the review in Zbl 0706.65114.
MSC:
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65R20 Numerical methods for integral equations
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35C15 Integral representations of solutions to PDEs
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
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References:
[1] A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979).
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