Calculating heat and wave propagation from the lateral Cauchy data
DOI10.1007/s11253-022-02062-wzbMath1501.65055OpenAlexW4302764004MaRDI QIDQ2084245
B. Tomas Johansson, R. S. Chapko
Publication date: 18 October 2022
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-022-02062-w
fundamental solutionssemidiscretizationRothe methodNyström methodheat and wave equationsinverse ill-posed problemsLaguerre transformboundary integral approach
Ill-posedness and regularization problems in numerical linear algebra (65F22) Heat equation (35K05) Inverse problems for PDEs (35R30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Second-order elliptic equations (35J15) Finite difference methods for boundary value problems involving PDEs (65N06) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
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