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Machine Learning in Computational Design and Optimization of Disordered Nanoporous Materials. [PDF]
Vishnyakov A.
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Challenges and opportunities in uncertainty quantification for healthcare and biological systems. [PDF]
Kimpton LM +3 more
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Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs
Inverse Problems, 2015Summary: This is the first publication in which a numerical method with rigorously guaranteed convergence is presented for some ill-posed Cauchy problems for semilinear PDEs of the second order. The key tool is the use of the Carleman weight functions in a Tikhonov-like functionals.
Michael Klibanov
exaly +2 more sources
4 The quasi-reversibility numerical method for ill-posed Cauchy problems for linear PDEs
2021exaly +2 more sources
2009
This paper is devoted to a connection between ill-posed boundary value problems in a bounded domain for a PDE that isn’t proper elliptic and a new moment problem on a curve that is a generalization of well-known trigonometric moment problem. Some connections with another field of mathematics are given in partial cases of the curve and the equation.
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This paper is devoted to a connection between ill-posed boundary value problems in a bounded domain for a PDE that isn’t proper elliptic and a new moment problem on a curve that is a generalization of well-known trigonometric moment problem. Some connections with another field of mathematics are given in partial cases of the curve and the equation.
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Carleman estimates for the regularization of ill-posed Cauchy problems
Applied Numerical Mathematics, 2015Michael Klibanov
exaly
Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
SIAM Review, 1992Per Christian Hansen
exaly
REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems
Numerical Algorithms, 1994Per Christian Hansen
exaly

