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519.65 --- 519.65 Approximation. Interpolation --- Approximation. Interpolation --- Wavelets (Mathematics) --- Congresses --- Congresses. --- Wavelets (Mathematics) - Congresses.
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Harmonic analysis. Fourier analysis --- Wavelets (Mathematics) --- Congresses. --- 51 --- -Mathematics --- Congresses --- -51 Mathematics --- Mathematics --- 51 Mathematics --- Wavelets (Mathematics) - Congresses.
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This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques. The book has three parts. The first one is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of writing equivalent norms for the scale of Besov spaces allows to develop some new methods. The second part provides an overview of the modern finite-volume and finite-difference shock-capturing schemes for systems of conservation and balance laws, with emphasis on providing a unified view of such schemes by identifying the essential aspects of their construction. In the last part a general introduction is given to the discontinuous Galerkin methods for solving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates.
Differential equations, Partial -- Numerical solutions -- Congresses. --- Electronic books. -- local. --- Galerkin methods -- Congresses. --- Wavelets (Mathematics) -- Congresses. --- Calculus --- Applied Mathematics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Differential equations, Partial --- Wavelets (Mathematics) --- Galerkin methods --- Numerical solutions --- Sinc-Galerkin methods --- Sinc methods --- Mathematics. --- Partial differential equations. --- Numerical analysis. --- Numerical Analysis. --- Partial Differential Equations. --- Numerical analysis --- Differential equations, partial. --- Partial differential equations --- Mathematical analysis
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In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
Wavelets (Mathematics) -- Congresses. --- Wavelets (Mathematics). --- System identification --- Wavelets (Mathematics) --- Haar system (Mathematics) --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Mathematical Statistics --- Operations Research --- Mathematical models --- System identification. --- Nonlinear systems. --- Wavelet analysis --- Systems, Nonlinear --- Identification, System --- Statistics. --- Statistical Theory and Methods. --- Harmonic analysis --- System theory --- System analysis --- Mathematical statistics. --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics
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Mathematical statistics --- Wavelets (Mathematics) --- Ondelettes --- Statistique mathématique --- Congresses. --- Congrès --- Congresses --- 519.2 --- 681.3*G3 --- -Wavelets (Mathematics) --- -Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Probability. Mathematical statistics --- Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Statistical methods --- -Probability. Mathematical statistics --- 681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- 519.2 Probability. Mathematical statistics --- -681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Mathematics --- Statistique mathématique --- Congrès --- Wavelets (Mathematics) - Congresses --- Mathematical statistics - Congresses
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Wavelets (Mathematics) --- Congresses. --- -517.518.8 --- 519.6 --- 681.3*G12 --- Congresses --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 517.518.8 --- Wavelets (Mathematics) - Congresses.
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Numerical approximation theory --- Spline theory --- Splines [Theorie des ] --- Splines [Theorie van de ] --- Approximation theory --- Wavelets (Mathematics) --- 517.518.5 --- 517.518.8 --- 519.6 --- 681.3*G12 --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- Congresses --- Approximation theory - Congresses --- Spline theory - Congresses --- Wavelets (Mathematics) - Congresses --- Approximation et developpements --- Analyse de fourier --- Ondelettes
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Wavelets (Mathematics) --- -517.518.8 --- 519.6 --- 681.3*G12 --- DSP --- wavelets --- 681.3*G12 Approximation: chebyshev elementary function least squares linear approximation minimax approximation and algorithms nonlinear and rational approximation spline and piecewise polynomial approximation (Numerical analysis) --- Approximation: chebyshev elementary function least squares linear approximation minimax approximation and algorithms nonlinear and rational approximation spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations --- Congresses --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- #TELE:MI2 --- #TELE:SISTA --- 517.518.8 --- Mathematical analysis --- Mechanical properties of solids --- Harmonic analysis. Fourier analysis --- Congresses. --- Ondelettes --- Congrès --- Signal processing --- Traitement du signal --- Wavelets (Mathematics) - Congresses
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