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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

Differential equations --- Equations différentielles --- Numerical solutions. --- Solutions numériques --- 519.6 --- 681.3*G17 --- Computational mathematics. Numerical analysis. Computer programming --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.91 Differential equations

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Numerical solutions of differential equations --- Differential equations --- Numerical solutions --- -681.3*G17 --- Equations, Differential --- Bessel functions --- Calculus --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 517.91 Differential equations --- 681.3*G17 --- 517.91 --- Numerical solutions. --- Numerical solutions&delete& --- Differential equations - Numerical solutions --- Equations differentielles ordinaires --- Methodes numeriques

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TOC:http://www.loc.gov/catdir/toc/fy022/2001053414.html

Differential inclusions --- 517.91 --- 517.97 --- 681.3*G17 --- 681.3*G --- Inclusions, Differential --- Differentiable dynamical systems --- Differential equations --- Set-valued maps --- 517.97 Calculus of variations. Mathematical theory of control --- Calculus of variations. Mathematical theory of control --- 517.91 Ordinary differential equations: general theory --- Ordinary differential equations: general theory --- 681.3*G Mathematics of computing --- Mathematics of computing --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis)

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Numerical analysis --- 519.6 --- 681.3*G17 --- 681.3*G17 Ordinary differential equations: boundary value problems convergence and stability error analysis initial value problems multistep methods single step methods stiff equations (Numerical analysis) --- Ordinary differential equations: boundary value problems convergence and stability error analysis initial value problems multistep methods single step methods stiff equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Mathematical analysis --- -Numerical solutions --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Differential equations --- 517.91 Differential equations --- Numerical solutions --- 517 --- 681.3 --- 517 Analysis --- Analysis --- Computerwetenschap --- Numerical solutions of differential equations --- 517.91 --- 681.3* / / / / / / / / / / / / / / / / / / / / / / / / / / / / --- Numerical solutions. --- Numerical analysis. --- Equations différentielles --- Analyse numérique --- Solutions numériques --- Initial value problems --- Équations différentielles --- Problèmes aux valeurs initiales --- DIFFERENTIAL EQUATIONS --- RUNGE KUTTA METHODS --- Monograph --- Differential equations. --- Runge-Kutta formulas. --- Runge-Kutta methods --- Equations, Differential --- Bessel functions --- Calculus --- Numerical solutions&delete& --- Initial value problems. --- Équations différentielles. --- Problèmes aux valeurs initiales --- Differential equations - Numerical solutions --- Equations differentielles --- Equations differentielles ordinaires --- Methodes numeriques --- Problemes aux limites --- Methodes de runge-kutta

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Numerical solutions of differential equations --- Stiff computation (Differential equations) --- Equations différentielles difficiles --- 519.6 --- 681.3*G17 --- 681.3*G19 --- Computation, Stiff (Differential equations) --- Equations, Stiff (Differential equations) --- Stiff equations (Differential equations) --- Stiff systems (Differential equations) --- Systems, Stiff (Differential equations) --- Differential equations --- Differential equations, Partial --- Computational mathematics. Numerical analysis. Computer programming --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- Numerical solutions --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Equations différentielles difficiles