A Haar wavelets-based direct reconstruction method for the Cauchy problem of the Poisson equation
DOI10.3934/DCDSS.2023075MaRDI QIDQ6657911
A. Nachaoui, Sudad Musa Rashid
Publication date: 7 January 2025
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
inverse problemCauchy problemill-posed problemmeshless methodHaar wavelet methodpolynomial expansionmulti-scale preconditioning
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Preconditioners for iterative methods (65F08) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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