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Finite element method. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations --- Numerical integration. --- Numerical solutions. --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- 517.91 Differential equations

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The book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems. It develops new methods of deterministic numerical integration, which can be used to speed up and stabilize filter algorithms. With the help of these methods, better estimates and predictions of latent variables are made possible in the fields of economics, engineering and physics. The resulting procedures are tested within four detailed simulation studies.

Statistics. --- Computer mathematics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Econometrics. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Computational Mathematics and Numerical Analysis. --- Vibration, Dynamical Systems, Control. --- Statistical Physics and Dynamical Systems. --- Cubature formulas. --- Numerical integration. --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- Formulas, Cubature --- Numerical integration --- Computer science --- Statistical physics. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Mathematics. --- Physics --- Mathematical statistics --- Cycles --- Mechanics --- Sound --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Economics, Mathematical --- Statistics --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Statistics . --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics

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Numerical integration --- 519.6 --- 681.3*G14 --- 681.3*G14 Quadrature and numerical differentiation: adaptive quadrature equal intervalintegration error analysis finite difference methods gaussian quadrature iterated methods multiple quadrature --- Quadrature and numerical differentiation: adaptive quadrature equal intervalintegration error analysis finite difference methods gaussian quadrature iterated methods multiple quadrature --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- 681.3*G14 Quadrature and numerical differentiation: adaptive quadrature; equal intervalintegration; error analysis; finite difference methods; gaussian quadrature; iterated methods; multiple quadrature --- Quadrature and numerical differentiation: adaptive quadrature; equal intervalintegration; error analysis; finite difference methods; gaussian quadrature; iterated methods; multiple quadrature --- Numerical integration. --- Integration numerique

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Numerical solutions of differential equations --- Differential equations --- Numerical solutions --- -Numerical integration --- 519.6 --- 681.3*G14 --- 681.3*G17 --- Equations, Differential --- Bessel functions --- Calculus --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- Computational mathematics. Numerical analysis. Computer programming --- Quadrature and numerical differentiation: adaptive quadrature; equal intervalintegration; error analysis; finite difference methods; gaussian quadrature; iterated methods; multiple quadrature --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Numerical integration. --- Numerical solutions. --- 517.91 Differential equations --- 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) --- 681.3*G14 Quadrature and numerical differentiation: adaptive quadrature; equal intervalintegration; error analysis; finite difference methods; gaussian quadrature; iterated methods; multiple quadrature --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Numerical integration --- 517.91 --- Initial value problems --- Équations différentielles --- Problèmes aux valeurs initiales --- Numerical solutions&delete& --- Analyse numérique. --- Équations différentielles. --- Problèmes aux valeurs initiales. --- Differential equations - Numerical solutions --- Analyse numérique. --- Équations différentielles. --- Problèmes aux valeurs initiales.

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Chromosomes --- Karyotypes --- Congresses --- 681.5.016 --- -Computer algorithms --- Differential equations --- -Iterative methods (Mathematics) --- Numerical integration --- Stiff computation (Differential equations) --- #TELE:d.d. Prof. A. J. J. Oosterlinck --- Computation, Stiff (Differential equations) --- Equations, Stiff (Differential equations) --- Stiff equations (Differential equations) --- Stiff systems (Differential equations) --- Systems, Stiff (Differential equations) --- Differential equations, Partial --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- Iteration (Mathematics) --- Equations, Differential --- Bessel functions --- Calculus --- Algorithms --- Chromosome theory --- Cell nuclei --- Crossing over (Genetics) --- Cytotaxonomy --- Genetics --- Karyokinesis --- Linkage (Genetics) --- Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology--?.016 --- Numerical solutions --- Computer algorithms. --- Iterative methods (Mathematics) --- Numerical integration. --- Numerical solutions. --- 517.91 Differential equations --- 681.5.016 Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology--?.016 --- Iterative methods (Mathematics). --- Stiff computation (Differential equations). --- -Chromosomes --- 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 --- 681.3*G17 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Chromosome abnormalities --- Numerical solutions of differential equations --- 517.91 --- Initial value problems --- Équations différentielles --- Problèmes aux valeurs initiales --- Numerical solutions&delete& --- Équations différentielles. --- Problèmes aux valeurs initiales. --- Differential equations. --- Initial value problems. --- Problèmes aux valeurs initiales --- Karyotypes - Congresses --- Chromosomes - Congresses --- Analyse numerique --- Equations differentielles --- -Congresses --- Chromosomes, human