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On an approach to integrating boundary problems with a non-unique solution. (English) Zbl 0243.65059

MSC:
65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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[1] Tikhonov, A.N., On stability of algorithms for the solution of singular systems of linear algebraic equations, Ž. vyčisl. mat. i mat. fiz., vol. 5, N4, (1965), (Russian) · Zbl 0196.48001
[2] Faddeyeva, V.N., The shift for systems with ill-conditioned matrices, Ž. vyčisl. mat. i mat. fiz., vol. 5, (1965), (Russian)
[3] Forsythe, G.E.; Moler, C.B., Computer solution of linear algebraic systems, (1967), Prentice-Hall Inc Englewood Cliffs, N.J · Zbl 0154.40401
[4] Buledza, A.V., On finite-difference methods of solving boundary value problems for differential equations of elliptic type, Differential’nye uravnenija, vol. I, N5, (1965), (Russian) · Zbl 0202.45901
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