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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
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Differential equations --- 517.95 --- Differential equations, Nonlinear --- -Nonlinear integral equations --- -#KVIV --- Integral equations, Nonlinear --- Integral equations --- Nonlinear theories --- Nonlinear differential equations --- Partial differential equations --- Numerical solutions --- Nonlinear integral equations --- Numerical solutions. --- 517.95 Partial differential equations --- #KVIV --- Numerical analysis --- Differential equations, Nonlinear - Numerical solutions --- Nonlinear integral equations - Numerical solutions
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Operator theory --- Integral equations --- Linear operators --- 517.96 --- Linear maps --- Maps, Linear --- Operators, Linear --- Equations, Integral --- Functional equations --- Functional analysis --- Finite differences. Functional and integral equations --- Integral equations. --- Linear operators. --- 517.96 Finite differences. Functional and integral equations --- Opérateurs linéaires --- Opérateurs linéaires --- Convolution --- Equations integrales
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Functional analysis --- 517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Congresses. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Analyse fonctionnnelle
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Functional analysis --- 517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Congresses. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Analyse fonctionnnelle
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Integral equations --- Equations, Integral --- Functional equations --- Functional analysis --- Integral equations. --- Équations intégrales --- Wiener-Hopf, Équations de --- Wiener-Hopf equations --- Équations intégrales. --- Wiener-Hopf, Équations de --- Wiener-Hopf equations. --- Equations integrales --- Equations integrales singulieres
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517.9 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Numerical solutions of differential equations
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Numerical solutions of differential equations --- Integral equations --- Invariant imbedding --- Equations intégrales --- Plongement invariant --- Numerical solutions --- Solutions numériques --- 517.96 --- Finite differences. Functional and integral equations --- Cauchy problem. --- Initial value problems. --- Integral equations. --- Invariant imbedding. --- 517.96 Finite differences. Functional and integral equations --- Equations intégrales --- Solutions numériques --- Cauchy problem --- Initial value problems --- Functional equations --- Invariants --- Mathematical physics --- Radiation --- Equations, Integral --- Functional analysis --- Problems, Initial value --- Boundary value problems --- Differential equations --- Differential equations, Partial --- Equations integrales --- Equations de fredholm --- Methodes numeriques
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Numerical solutions of differential equations --- Partial differential equations --- -Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- -517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations, Partial --- 517.9 --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Numerical analysis --- Numerical solutions --- Differential equations, Partial - Numerical solutions
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