Improperly Posed Problems and Their Numerical Treatment - G. Hämmerlin

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Résumé :
A Stable Marching Scheme for an Ill-Posed Initial Value Problem.- Stability of Parameters Estimated by the Output Least Square Method.- Analytic and Numerical Methods in the Study of the Inverse Scattering Problem for Acoustic Waves.- A Numerical Method for Solving the Inverse Stefan Problem in two Space Variables.- On a Constrained Fourier Extrapolation Method for Numerical Deconvolution.- On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations.- Comments on Morozov's Discrepancy Principle.- Reconstruction of a Free Boundary.- The Finite Element Method for a Class of Improperly Posed Integral Equations.- Maxwell's Equations with Incident Waves as a Field Source.- The Identification of Kinetical Parameters in Medical Receptor Analysis.- Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions.- Numerical Solution of Fujita's Equation.- On the Order of Regularization Methods.- Free Boundary Problem for a Non-Linear System of Parabolic Equations, Including One with Reversed Time.- Regularisierungsverfahren f?r Gleichungen Erster Art mit Positiv Definiten Operatoren.- ?ber Mathematische Methoden der Beobachtungsverarbeitung....

Biographie:
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Sommaire:
A Stable Marching Scheme for an Ill-Posed Initial Value Problem.- Stability of Parameters Estimated by the Output Least Square Method.- Analytic and Numerical Methods in the Study of the Inverse Scattering Problem for Acoustic Waves.- A Numerical Method for Solving the Inverse Stefan Problem in two Space Variables.- On a Constrained Fourier Extrapolation Method for Numerical Deconvolution.- On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations.- Comments on Morozov's Discrepancy Principle.- Reconstruction of a Free Boundary.- The Finite Element Method for a Class of Improperly Posed Integral Equations.- Maxwell's Equations with Incident Waves as a Field Source.- The Identification of Kinetical Parameters in Medical Receptor Analysis.- Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions.- Numerical Solution of Fujita's Equation.- On the Order of Regularization Methods.- Free Boundary Problem for a Non-Linear System of Parabolic Equations, Including One with Reversed Time.- Regularisierungsverfahren f?r Gleichungen Erster Art mit Positiv Definiten Operatoren.- ?ber Mathematische Methoden der Beobachtungsverarbeitung.