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Expressions et termes fréquentsalgorithm Appendix apply approximation assume assumptions asymptotic Banach spaces boundary conditions boundary value problem bounded operator Cauchy Cauchy-Schwarz inequality collocation method compact operator compute conclude conjugate gradient method corresponding defined Definition denotes dense derivative differential equation direct problem discrepancy principle discrete eigenfunctions eigenvalue problem equation Kx example exists field pattern finite finite-dimensional following theorem formulate Furthermore G Xn Galerkin method given Helmholtz equation Hilbert spaces ill-posed implies inequality inner product integral operator inverse problem kernel least squares method Lemma mapping minimize nonlinear normed space numerical one-to-one optimal orthogonal projection orthonormal system parameter perturbation polynomial Proof properties regularization strategy respect right-hand side satisfies Section self-adjoint sequence singular system singular values Sobolev spaces solves spectral subspace Symm's equation tend to infinity theory Tikhonov Tikhonov regularization uniformly unique solution uniquely solvable vanishes vector Volterra worst-case error yields Fréquemment citésPage 263 - On an inverse boundary value problem. In Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980). Références à ce livreIssues d'autres livres
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