## Numerical Methods of Solving Ill-posed Problems of Dielectric SpectrometryContents: Preface. Introduction; Dielectrics in a Variable Electric Field; Various Procedures of Computing the Spectra of Dielectric Relaxation Times; Ill-Posed Problems of Dielectric Spectrometry; Numerical Solution of Ill-Posed Problems of Dielectric Spectrometry with Random Errors in Input Data; Algorithms for Numerical Solution of Ill-Posed Problems for Various Models of Relaxators; Least-Squares Technique; References; Index. |

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### Contents

1 | |

VARIOUS PROCEDURES OF COMPUTING THE SPECTRA OF DIELECTRIC RELAXATION TIMES | 13 |

ILLPOSED PROBLEMS OF DIELECTRIC SPECTROMETRY | 53 |

NUMERICAL SOLUTION OF ILLPOSED PROBLEMS OF DIELECTRIC SPECTROMETRY WITH RANDOM ERRORS IN INPUT DATA | 99 |

ALGORITHMS FOR NUMERICAL SOLUTION OF ILLPOSED PROBLEMS FOR VARIOUS MODELS OF RELAXATORS | 121 |

APPENDIX LEASTSQUARES TECHNIQUE | 143 |

147 | |

153 | |

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### Common terms and phrases

abscissa axis activation energies aim[j algorithms begin Block calculations Cole-Cole complex permittivity computed convolution type integral defined dielectric loss factor dielectric measurements data dielectric parameters dielectric relaxation dielectric spectrometry discrepancy discrete Fourier transform electrical dipole electrical dipole moment empirical distribution functions evaluation experimental data experimental dependence experimental points expression exterior electric field Fourier transform Fredholm integral equation frequency dependence function of dielectric function of relaxation glass transition glass transition temperature Ill-Posed Problems IMAX inverse problem kernel kinetic unit magnitude maximum mean-root-square error MECDE monomers MECNPG MECPC method of chords method of Tikhonov molecular mobility molecules numerical solution oligomers polar molecules polymers precise problem of dielectric procedure processing of dielectric regularization parameter relation relaxation times G right member samples solving spectrum of dielectric temperature of 233 Tikhonov functional Tikhonov regularization TSD current type integral equation width parameter Williams-Watts distribution

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