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math.NA2023
Regularising the Cauchy problem for Laplace's equation by fractional operators
Barbara Kaltenbacher an William Rundell
In this paper we revisit the classical Cauchy problem for Laplace's equation as well as two further related problems in the light of regularisation of this highly ill-conditioned p…
math.NA2023★ 1 cited
Nonlinearity parameter imaging in the frequency domain
Barbara Kaltenbacher, William Rundell
Nonlinearity parameter tomography leads to the problem of identifying a coefficient in a nonlinear wave equation (such as the Westervelt equation) modeling ultrasound propagation.…