Keywords:
Environmental sciences--Data processing.
;
Environmental sciences--Mathematics.
;
Electronic books.
Type of Medium:
Online Resource
Pages:
1 online resource (334 pages)
Edition:
1st ed.
ISBN:
9783110424904
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=4768910
DDC:
363.7001/51
Language:
English
Note:
Intro -- Preface -- Contents -- 1 Time series analysis -- 1.1 Stationary time series -- 1.2 Prediction of time series -- 1.3 Spectral analysis -- 1.4 Autoregressive moving average models -- 1.5 Prediction and modeling of ARMA processes -- 1.6 Multivariate ARMA processes -- 1.7 State-space models -- 2 Chaos and dynamical systems -- 2.1 Dynamical systems -- 2.2 Henon and logistic maps -- 2.3 Lyapunov exponents -- 2.4 Fractal dimension -- 2.5 Prediction -- 2.6 Delay embedding vectors -- 2.7 Singular spectrum analysis -- 2.8 Recurrence networks -- 3 Approximation -- 3.1 Trigonometric approximation -- 3.2 Multivariate approximation and dimensionality reduction -- 3.3 Polynomial approximation -- 3.4 Spline approximation and rational approximation -- 3.5 Wavelet approximation -- 3.6 Greedy algorithms -- 4 Interpolation -- 4.1 Curve fitting -- 4.2 Lagrange interpolation -- 4.3 Hermite interpolation -- 4.4 Spline interpolation -- 4.5 Trigonometric interpolation and fast Fourier transform -- 4.6 Bivariate interpolation -- 5 Statistical methods -- 5.1 Linear regression -- 5.2 Multiple regression -- 5.3 Case study: Tree-ring-based climate reconstructions -- 5.4 Covariance analysis -- 5.5 Discriminant analysis -- 5.6 Cluster analysis -- 5.7 Principal component analysis -- 5.8 Canonical correlation analysis -- 5.9 Factor analysis -- 6 Numerical methods -- 6.1 Numerical integration -- 6.2 Numerical differentiation -- 6.3 Iterative methods -- 6.4 Difference methods -- 6.5 Finite element methods -- 6.6 Wavelet methods -- 7 Optimization -- 7.1 Newton's method and steepest descent method -- 7.2 The variational method -- 7.3 The simplex method -- 7.4 Fermat rules -- 7.5 Karush-Kuhn-Tucker optimality conditions -- 7.6 Primal and dual pairs of linear optimization -- 7.7 Case studies -- 8 Data envelopment analysis -- 8.1 Charnes-Cooper-Rhodes DEA models.
,
8.2 Banker-Charnes-Cooper DEA models -- 8.3 One-stage and two-stage methods -- 8.4 Advanced DEA models -- 8.5 Software and case studies -- 9 Risk assessments -- 9.1 Decision rules under uncertainty -- 9.2 Decision trees -- 9.3 Fractile and triangular methods -- 9.4 The ε-constraint method -- 9.5 The uncertainty sensitivity index method -- 9.6 The partitioned multiobjective risk method -- 9.7 The multiobjective multistage impact analysis method -- 9.8 Multiobjective risk impact analysis method -- 9.9 The Leslie model -- 9.10 Leontief's and inoperability input-output models -- 10 Life cycle assessments -- 10.1 Classic life cycle assessment -- 10.2 Exergetic life cycle assessment -- 10.3 Ecologically-based life cycle assessment -- 10.4 Case studies -- Index.
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