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Differential equations --- Asymptotic distribution (Probability theory) --- Eigenvalues --- Inverse problems (Differential equations) --- Distribution asymptotique (Théorie des probabilités) --- Valeurs propres --- Problèmes inversés (Equations différentielles) --- Distribution asymptotique (Théorie des probabilités) --- Problèmes inversés (Equations différentielles) --- Problèmes inverses (équations différentielles) --- Valeurs propres. --- Distribution asymptotique (théorie des probabilités) --- Asymptotic expansions --- Central limit theorem --- Distribution (Probability theory) --- Matrices

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Numerical analysis --- Differential equations --- Inverse problems (Differential equations) --- Elasticity --- Problèmes inversés (Equations différentielles) --- Analyse numérique --- Elasticité --- Numerical solutions. --- Mathematical models. --- Solutions numériques --- Modèles mathématiques --- 51 <082.1> --- Mathematics--Series --- Improperly posed problems. --- Mathematical models --- Problèmes inversés (Equations différentielles) --- Analyse numérique --- Elasticité --- Solutions numériques --- Modèles mathématiques --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Improperly posed problems in numerical analysis --- Numerical solutions --- Improperly posed problems --- Properties --- Ill-posed problems

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Mathematical physics --- Inverse problems (Differential equations) --- Solitons --- Scattering (Mathematics) --- Problèmes inversés (Equations différentielles) --- Dispersion (Mathématiques) --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Scattering theory (Mathematics) --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Differential equations --- Solitons. --- Inverse problems (Differential equations). --- Scattering (Mathematics). --- Problèmes inversés (Equations différentielles) --- Dispersion (Mathématiques) --- Korteweg-de Vries equation --- Korteweg-de Vries, Équation de --- Fluides, Mécanique des --- Fluid mechanics --- Korteweg-de Vries equation. --- Korteweg-de Vries, Équation de --- Fluides, Mécanique des --- Fluid mechanics. --- Equations aux derivees partielles --- Equations differentielles sur une variete --- Scattering

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... A diskette with the updated programme of Appendix C and examples is available through the author at a small fee. email: nezheng@ucla.edu fax: 1--310--825--5435 ... This book systematically discusses basic concepts, theory, solution methods and applications of inverse problems in groundwater modeling. It is the first book devoted to this subject. The inverse problem is defined and solved in both deterministic and statistic frameworks. Various direct and indirect methods are discussed and compared. As a useful tool, the adjoint state method and its applications are given in detail. For a stochastic field, the maximum likelihood estimation and co-kriging techniques are used to estimate unknown parameters. The ill-posed problem of inverse solution is highlighted through the whole book. The importance of data collection strategy is specially emphasized. Besides the classical design criteria, the relationships between decision making, prediction, parameter identification and experimental design are considered from the point of view of extended identifiabilities. The problem of model structure identification is also considered. This book can be used as a textbook for graduate students majoring in hydrogeology or related subjects. It is also a reference book for hydrogeologists, petroleum engineers, environmental engineers, mining engineers and applied mathematicians.

Groundwater --- Inverse problems (Differential equations) --- Problèmes inversés (Equations différentielles) --- Mathematical models. --- Hydrogeology. --- Geotechnical engineering. --- Environmental pollution. --- Statistics . --- Mathematical Modeling and Industrial Mathematics. --- Geotechnical Engineering & Applied Earth Sciences. --- Terrestrial Pollution. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Chemical pollution --- Chemicals --- Contamination of environment --- Environmental pollution --- Pollution --- Contamination (Technology) --- Asbestos abatement --- Bioremediation --- Environmental engineering --- Environmental quality --- Factory and trade waste --- Hazardous waste site remediation --- Hazardous wastes --- In situ remediation --- Lead abatement --- Pollutants --- Refuse and refuse disposal --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Models, Mathematical --- Simulation methods --- Geohydrology --- Geology --- Hydrology --- Environmental aspects

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In the first, 1986, edition of this book, inverse problems in vibration were interpreted strictly: problems concerning the reconstruction of a unique, undamped vibrating system, of a specified type, from specified vibratory behaviour, particularly specified natural frequencies and/or natural mode shapes. In this new edition the scope of the book has been widened to include topics such as isospectral systems- families of systems which all exhibit some specified behaviour; applications of the concept of Toda flow; new, non-classical approaches to inverse Sturm-Liouville problems; qualitative properties of the modes of some finite element models; damage identification. With its emphasis on analysis, on qualitative results, rather than on computation, the book will appeal to researchers in vibration theory, matrix analysis, differential and integral equations, matrix analysis, non-destructive testing, modal analysis, vibration isolation, etc. "This book is a necessary addition to the library of engineers and mathematicians working in vibration theory." Mathematical Reviews.

analyse (wiskunde) --- dynamica --- mechanica --- Engineering sciences. Technology --- Mathematical analysis --- Classical mechanics. Field theory --- Vibration --- Inverse problems (Differential equations) --- Problèmes inversés (Equations différentielles) --- EPUB-LIV-FT LIVINGEN SPRINGER-B --- Vibration. --- Mechanics. --- Global analysis (Mathematics). --- Vibration, Dynamical Systems, Control. --- Classical Mechanics. --- Analysis. --- Cycles --- Mechanics --- Sound --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Dynamical systems. --- Dynamics. --- Mathematical analysis. --- Analysis (Mathematics). --- 517.1 Mathematical analysis --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics