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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Nonlinear systems --- Mathematical models. --- Systems, Nonlinear --- System theory --- Calculus of variations. --- Eigenvalues. --- Calculus of variations --- Eigenvalues

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517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Theses --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis

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Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis. --- Analyse fonctionnelle --- Nonlinear functional analysis --- Nonlinear functional analysis. --- Operateurs lineaires hilbertiens

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Differential equations --- analyse (wiskunde) --- integralen --- wiskunde --- Mathematics --- Équations différentielles --- 4191 --- differentiaalvergelijking --- si-eenheid --- 517.9 --- lineaire vergelijking --- differentiaalvergelijkingen --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Schoolbooks - Didactic material --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Équation différentielle --- --Équations différentielles --- Differential equations - Problems, exercises, etc.

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Harmonic analysis. Fourier analysis --- 517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Harmonic analysis --- Representations of groups --- Spectral theory (Mathematics) --- Congresses. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Analyse harmonique