Numerical Solution of the Cauchy Problem for the Stationary Schrödinger Equation Using Faddeev's Green Function

DOI10.1137/S0036139903424916zbMath1061.65119OpenAlexW2079571080MaRDI QIDQ4830613

Samuli Siltanen, Masaru Ikehata

Publication date: 13 December 2004

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139903424916

zbMATH Keywords

algorithmregularizationCauchy problemnumerical examplesexponentially growing solutionstationary Schrödinger equationelectrocardiographyFaddeev's Green function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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