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Modelling or Solving Inverse Problems?
Tomography with Diffusion
Inverse Problems for Discrete Evolution Models
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acoustic wave acoustic wave equations algebraic algorithm amplitude analysis analytic angular momentum applied approximation assume asymptotic bound boundary conditions computed consider constant convergence corresponding defined degrees of freedom denotes dependent determined dielectric differential equations direct problem discrete distribution domain eigenvalues electromagnetic energy error estimate example finite formula Fourier transform frequency given ill-posed problem imaging inhomogeneous integral equation interaction interface inverse problem inverse scattering problem ionospheric iterative KdV equation kernel known Lax pair linear Marchenko Math mathematical matrix measured medium meson method microwave nonlinear norm obtained operator parameters permittivity phase shifts Phys physical polynomial potential procedure propagation properties radiation reconstruction relation S-matrix satisfies scattered field scattering theory Schrodinger equation singular soliton solution solved space spectral spectrum techniques temperature Theorem tomography unique values variable vector velocity wave equation wave field zero