ALBERT

Note: Contents: Part 1: Data, Models, and Algorithms. - 1. Overture. - 2. Overview. - 3. Three-way and multiway data. - 4. Component models for fully-crossed designs. - 5. Algorithms for multiway models. - Part 2: Data Handling, Model Selection, and Interpertation. - 6. Preprocessing. - 7. Missing data in multiway analysis. - 8. Model and dimensionality selection. - 9. Interpreting component models. - 10. Improving interpretation through rotations. - 11. Graphical displays for components. - 12. Residuals, outliers, and robustness. - Part 3: Multiway Data and Their Analysis. - 13. Modeling multiway profile data. - 14. Modeling multiway rating scale data. - 15. Exploratory multivariate longitudinal analysis. - 16. Three-mode clustering. - 17. Multiway contingency tables. - 18. Three-way binary data. - 19. From three-way to four-way data and beyond. - Appendix A: Standard notation for mulitway analysis. - Appendix B: Biplots and their interpretation.

Note: Contents: Introduction. - 1. Coastlines as zones of interaction among geological processes, climate change, and socioeconomic development? - Modeling opportunities / J. Harff, W. W. Hay, and D. F. Tetzlaff. - Models describing the driving forces of coastal change and effects of their interrelation. - 2. Postglacial coastal evolution: Ice-ocean-solid Earth interactions in a period of rapid climate change / W. R. Peltier. - 3. Simulation of the Eemian interglacial and possible mechanisms for the glacial inception / F. Kaspar and U. Cubasch. - 4. Predicting seabed change as a function of climate change over the next 50 yr in the Australian southeast / F. Li, C. P. Dyt, C. M. Griffiths, and K. L. McInnes. - 5. Interaction among sedimentation, compaction, and groundwater flow in coastal settings / D. M. Tetzlaff and M.-T. Schafmeister. - Model areas. - The Arctic and the Northern Hemisphere. - 6. The Laptev Sea system since the Last Glacial / H. Kassens, J. Thiede, H. A. Bauch, J. A. Hoelemann, I. Dmitrenko, S. Pivovarov, S. Priamikov, L. Timokhov, and C. Wegner. - 7. The evolution and degradation of coastal and offshore permafrost in the Laptev and Eastern Siberian Seas during the last climatic cycle / P. P. Overduin, H.-W. Hubberten, V. Rachold, N. Romanovskii, M. Grigoriev, and M. Kasymskaya. - 8. Climate and the migration of early peoples into the Americas / R. Hetherington, A. J. Weaver, and Á. Montenegro. - Marginal seas. - 9. The Baltic Sea coast - A model of interrelations among geosphere, climate, and anthroposphere / J. Harff, W. Lemke, R. Lampe, F. Lüth, H. Lübke, M. Meyer, F. Tauber, and U. Schmölcke. - 10. Southern Baltic Sea level oscillations: New radiocarbon, pollen, and diatom evidences of from the Puck Lagoon (Poland) / S. Uscinowicz, J. Zachowicz, G. Miotk-Szpiganowicz, and A. Witkowski. - 11. Modelling Holocene coastal erosion and sediment supply in the western North Sea / J. G. Rees, R. Newsham, and C. D. R. Evans. - 12. A Black Sea lowstand at 8500 yr B.P. indicated by a relict coastal dune system at a depth of 90 m below sea level / G. Lericolais, I. Popescu, F. Guichard, and S. Popescu. - 13. Sinis Peninsula (western Sardinia, Italy) coastal system analysis using hydrodynamic and remote sensing techniques / A. Atzeni, D. Pani, and N. Ibba. - 14. A long-term morphological modeling study on the evolution of the Pearl River Delta, network system, and estuarine bays since 6000 yr B.P. / C. Y. Wu, J. Ren, Y. Bao, Y. P. Lei, and H. Y. Shi. - Index.

Note: Contents: 1 Concepts and Foundations of Remote Sensing. - 1.1 Introduction. - 1.2 Energy Sources and Radiation Principles. - 1.3 Energy Interactions in the Atmosphere. - 1.4 Energy Interactions with Earth Surface Features. - 1.5 Data Acquisition and Interpretation. - 1.6 Reference Data. - 1.7 The Global Positioning System. - 1.8 Characteristics of Remote Sensing System. - 1.9 Successful Application of Remote Sensing. - 1.10 Geographic Information Systems. - 1.11 Organization of the Book. - Works Cited. - 2 Elements of Photographic Systems. - 2.1 Introduction. - 2.2 Early History of Aerial Photography. - 2.3 Photographic Basics. - 2.4 Film Photography. - 2.5 Digital Photography. - 2.6 Aerial Cameras. - 2.7 Spatial Resolution of Camera Systems. - 2.8 Aerial Videography. - 2.9 Multiband Imaging. - 2.10 Conclusion. - Works Cited. - 3 Basic Principles of Photogrammetry. - 3.1 Introduction. - 3.2 Basic Geometric Characteristics of Aerial Photographs. - 3.3 Photographic Scale. - 3.4 Ground Coverage of Aerial Photographs. - 3.5 Area Measurement. - 3.6 Relief Displacement of Vertical Features. - 3.7 Image Parallax. - 3.8 Ground Control for Aerial Photography. - 3.9 Production of Maps and Orthophotos. - 3.10 Flight Planning. - 3.11 Conclusion. - Works Cited. - 4 Introduction to Visual Image Interpretation. - 4.1 Introduction. - 4.2 Fundamentals of Visual Image Interpretation. - 4.3 Basic Visual Image Interpretation Equipment. - 4.4 Land Use/Land Cover Mapping. - 4.5 Geologic and Soil Mapping. - 4.6 Agricultural Applications. - 4.7 Forestry Applications. - 4.8 Rangeland Applications. - 4.9 Water Resource Applications. - 4.10 Urban and Regional Planning Applications. - 4.11 Wetland Mapping. - 4.12 Wildlife Ecology Applications. - 4.13 Archaeological Applications. - 4.14 Environmental Assessment. - 4.15 Natural Disaster Assessment. - 4.16 Principles of Landform Identification and Evaluation. - Works Cited. - 5 Multispectral, Thermal, and Hyperspectral Sensing. - 5.1 Introduction. - 5.2 Across-Track Scanning. - 5.3 Along-Track Scanning. - 5.4 Example Across-Track Multispectral Scanner and Imagery. - 5.5 Example Along-Track Multispectral Scanner and Imagery. - 5.6 Geometric Characteristics of Across-Track Scanner Imagery. - 5.7 Geometric Characteristics of Along-Track Scanner Imagery. - 5.8 Thermal Scanning. - 5.9 Thermal Radiation Principles. - 5.10 Interpreting Thermal Scanner Imagery. - 5.11 Radiometric Calibration of Thermal Scanners. - 5.12 Temperature Mapping with Thermal Scanner Data. - 5.13 FLIR Systems. - 5.14 Hyperspectral Sensing. - 5.15 Conclusion . - Works Cited. - 6 Earth Resource Satellites Operating in the Optical Spectrum. - 6.1 Introduction. - 6.2 Early History of Space Imaging. - 6.3 Landsat Satellite Program Overview. - 6.4 Landsat-1,-2, and-3. - 6.5 Landsat-4 and -5. - 6.6 Landsat-6 Planned Mission. - 6.7 Landsat-7. - 6.8 Landsat Image Examples. - 6.9 Landsat Data Continuity Mission. - 6.10 Long-Term Future of the Landsat Program and the Global Earth Observation System of Systems. - 6.11 SPOT Satellite Program. - 6.12 SPOT-1,-2, and-3. - 6.13 SPOT-4. - 6.14 SPOT-5. - 6.15 SPOT Image Examples. - 6.16 Other Earth Resource Satellites. - 6.17 Meteorological Satellites Frequently Applied to Earth Surface Feature Observation. - 6.18 Ocean Monitoring Satellites. - 6.19 Earth Observing System. - 6.20 Space Station Remote Sensing . - Works Cited. - 7 Digital Image Interpretation and Analysis. - 7.1 Introduction. - 7.2 Image Rectification and Restoration. - 7.3 Image Enhancement. - 7.4 Contrast Manipulation. - 7.5 Spatial Feature Manipulation. - 7.6 Multi-Image Manipulation. - 7.7 Image Classification. - 7.8 Supervised Classification. - 7.9 The Classification Stage. - 7.10 The Training Stage. - 7.11 Unsupervised Classification. - 7.12 Hybrid Classification. - 7.13 Classification of Mixed Pixels. - 7.14 The Output Stage. - 7.15 Postclassification Smoothing. - 7.16 Object-Oriented Classification. - 7.17 Classification Accuracy Assessment. - 7.18 Data Merging and GIS Integration. - 7.19 Hyperspectral Image Analysis. - 7.20 Biophysical Modeling. - 7.21 Scale Effects. - 7.22 Image Transmission and Compression. - 7.23 Conclusion. - Works Cited. - 8 Microwave and Lidar Sensing. - 8.1 Introduction. - 8.2 Radar Development. - 8.3 Side-Looking Radar System Operation. - 8.4 Synthetic Aperture Radar. - 8.5 Geometric Characteristics of Radar Imagery. - 8.6 Transmission Characteristics of Radar Signals. - 8.7 Other Radar Image Characteristics. - 8.8 Radar Image Interpretation. - 8.9 Interferometric Radar. - 8.10 Radar Remote Sensing from Space. - 8.11 Seasat-1. - 8.12 Shuttle Imaging Radar. - 8.13 Almaz-1. - 8.14 ERS-1 and ERS-2. - 8.15 Envisat. - 8.16 JERS-1. - 8.17 ALOS. - 8.18 Radarsat. - 8.19 High Resolution Spaceborne Radar Systems. - 8.20 Shuttle Radar Topography Mission. - 8.21 Spaceborne Radar System Summary. - 8.22 Passive Microwave Sensing. - 8.23 Lidar. - Works Cited. - Appendix A Radiometric Concepts,Terminology, and Units. - Geometric Characteristics of Radiation Measurement. - Radiometric Terminology and Units. - Appendix B Remote Sensing Data and Information Resources. - Sources of Remote Sensing Data and Information. - Remote Sensing Periodicals. - Remote Sensing Glossaries. - Online Remote Sensing Courses and Tutorials. - Appendix C Sample Coordinate Transformation and Resampling Procedures. - Two-Dimensional Affine Coordinate Transformation. - Resampling Procedures . - Appendix D Radar Signal Concepts, Terminology,and Units. - Signal Power and Radar Cross Section. - Complex Amplitude of Radar Signals. - Index

Note: Contents 1. Introduction 1.1 Historical Background 1.2 Some Examples of Spectral Methods 1.2.1 A Fourier Galerkin Method for the Wave Equation 1.2.2 A Chebyshev Collocation Method for the Heat Equation 1.2.3 A Legendre Galerkin with Numerical Integration (G-NI) Method for the Advection-Diffusion-Reaction Equation 1.2.4 A Legendre Tau Method for the Poisson Equation 1.2.5 Basic Aspects of Galerkin, Collocation, G-NI and Tau Methods 1.3 Three-Dimensional Applications in Fluids: A Look Ahead 2. Polynomial Approximation 2.1 The Fourier System 2.1.1 The Continuous Fourier Expansion 2.1.2 The Discrete Fourier Expansion 2.1.3 Differentiation 2.1.4 The Gibbs Phenomenon 2.2 Orthogonal Polynomials in (−1, 1) 2.2.1 Sturm-Liouville Problems 2.2.2 Orthogonal Systems of Polynomials 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 2.3 Legendre Polynomials 2.3.1 Basic Formulas 2.3.2 Differentiation 2.3.3 Orthogonality, Diagonalization and Localization 2.4 Chebyshev Polynomials 2.4.1 Basic Formulas 2.4.2 Differentiation 2.5 Jacobi Polynomials 2.6 Approximation in Unbounded Domains 2.6.1 Laguerre Polynomials and Laguerre Functions 2.6.2 Hermite Polynomials and Hermite Functions 2.7 Mappings for Unbounded Domains 2.7.1 Semi-Infinite Intervals 2.7.2 The Real Line 2.8 Tensor-Product Expansions 2.8.1 Multidimensional Mapping 2.9 Expansions on Triangles and Related Domains 2.9.1 Collapsed Coordinates and Warped Tensor-Product Expansions 2.9.2 Non-Tensor-Product Expansions 2.9.3 Mappings 3. Basic Approaches to Constructing Spectral Methods 3.1 Burgers Equation 3.2 Strong and Weak Formulations of Differential Equations 3.3 Spectral Approximation of the Burgers Equation 3.3.1 Fourier Galerkin 3.3.2 Fourier Collocation 3.3.3 Chebyshev Tau 3.3.4 Chebyshev Collocation 3.3.5 Legendre G-NI 3.4 Convolution Sums 3.4.1 Transform Methods and Pseudospectral Methods 3.4.2 Aliasing Removal by Padding or Truncation 3.4.3 Aliasing Removal by Phase Shifts 3.4.4 Aliasing Removal for Orthogonal Polynomials 3.5 Relation Between Collocation, G-NI and Pseudospectral Methods 3.6 Conservation Forms 3.7 Scalar Hyperbolic Problems 3.7.1 Enforcement of Boundary Conditions 3.7.2 Numerical Examples 3.8 Matrix Construction for Galerkin and G-NI Methods 3.8.1 Matrix Elements 3.8.2 An Example of Algebraic Equivalence between G-NI and Collocation Methods 3.9 Polar Coordinates 3.10 Aliasing Effects 4. Algebraic Systems and Solution Techniques 4.1 Ad-hoc Direct Methods 4.1.1 Fourier Approximations 4.1.2 Chebyshev Tau Approximations 4.1.3 Galerkin Approximations 4.1.4 Schur Decomposition and Matrix Diagonalization 4.2 Direct Methods 4.2.1 Tensor Products of Matrices 4.2.2 Multidimensional Stiffness and Mass Matrices 4.2.3 Gaussian Elimination Techniques 4.3 Eigen-Analysis of Spectral Derivative Matrices 4.3.1 Second-Derivative Matrices 4.3.2 First-Derivative Matrices 4.3.3 Advection-Diffusion Matrices 4.4 Preconditioning 4.4.1 Fundamentals of Iterative Methods for Spectral Discretizations 4.4.2 Low-Order Preconditioning of Model Spectral Operators in One Dimension 4.4.3 Low-Order Preconditioning in Several Dimensions 4.4.4 Spectral Preconditioning 4.5 Descent and Krylov Iterative Methods for Spectral Equations 4.5.1 Multidimensional Matrix-Vector Multiplication 4.5.2 Iterative Methods 4.6 Spectral Multigrid Methods 4.6.1 One-Dimensional Fourier Multigrid Model Problem 4.6.2 General Spectral Multigrid Methods 4.7 Numerical Examples of Direct and Iterative Methods 4.7.1 Fourier Collocation Discretizations 4.7.2 Chebyshev Collocation Discretizations 4.7.3 Legendre G-NI Discretizations 4.7.4 Preconditioners for Legendre G-NI Matrices 4.8 Interlude 5. Polynomial Approximation Theory 5.1 Fourier Approximation 5.1.1 Inverse Inequalities for Trigonometric Polynomials 5.1.2 Estimates for the Truncation and Best Approximation Errors 5.1.3 Estimates for the Interpolation Error 5.2 Sturm-Liouville Expansions 5.2.1 Regular Sturm-Liouville Problems 5.2.2 Singular Sturm-Liouville Problems 5.3 Discrete Norms 5.4 Legendre Approximations 5.4.1 Inverse Inequalities for Algebraic Polynomials 5.4.2 Estimates for the Truncation and Best Approximation Errors 5.4.3 Estimates for the Interpolation Error 5.4.4 Scaled Estimates 5.5 Chebyshev Approximations 5.5.1 Inverse Inequalities for Polynomials 5.5.2 Estimates for the Truncation and Best Approximation Errors 5.5.3 Estimates for the Interpolation Error 5.6 Proofs of Some Approximation Results 5.7 Other Polynomial Approximations 5.7.1 Jacobi Polynomials 5.7.2 Laguerre and Hermite Polynomials 5.8 Approximation in Cartesian-Product Domains 5.8.1 Fourier Approximations 5.8.2 Legendre Approximations 5.8.3 Mapped Operators and Scaled Estimates 5.8.4 Chebyshev and Other Jacobi Approximations 5.8.5 Blended Trigonometric and Algebraic Approximations 5.9 Approximation in Triangles and Related Domains 6. Theory of Stability and Convergence 6.1 Three Elementary Examples Revisited 6.1.1 A Fourier Galerkin Method for the Wave Equation 6.1.2 A Chebyshev Collocation Method for the Heat Equation 6.1.3 A Legendre Tau Method for the Poisson Equation 6.2 Towards a General Theory 6.3 General Formulation of Spectral Approximations to Linear Steady Problems 6.4 Galerkin, Collocation, G-NI and Tau Methods 6.4.1 Galerkin Methods 6.4.2 Collocation Methods 6.4.3 G-NI Methods 6.4.4 Tau Methods 6.5 General Formulation of Spectral Approximations to Linear Evolution Problems 6.5.1 Conditions for Stability and Convergence: The Parabolic Case 6.5.2 Conditions for Stability and Convergence: The Hyperbolic Case 6.6 The Error Equation 7. Analysis of Model Boundary-Value Problems 7.1 The Poisson Equation 7.1.1 Legendre Methods 7.1.2 Chebyshev Methods 7.1.3 Other Boundary-Value Problems 7.2 Singularly Perturbed Elliptic Equations 7.2.1 Stabilization of Spectral Methods 7.3 The Eigenvalues of Some Spectral Operators 7.3.1 The Discrete Eigenvalues for Lu = −uxx 7.3.2 The Discrete Eigenvalues for Lu = −νuxx + βux 7.3.3 The Discrete Eigenvalues for Lu = ux 7.4 The Preconditioning of Spectral Operators 7.5 The Heat Equation 7.6 Linear Hyperbolic Equations 7.6.1 Periodic Boundary Conditions 7.6.2 Nonperiodic Boundary Conditions 7.6.3 The Resolution of the Gibbs Phenomenon 7.6.4 Spectral Accuracy for Non-Smooth Solutions 7.7 Scalar Conservation Laws 7.8 The Steady Burgers Equation Appendix A. Basic Mathematical Concepts A.1 Hilbert and Banach Spaces A.2 The Cauchy-Schwarz Inequality A.3 Linear Operators Between Banach Spaces A.4 The Fr´echet Derivative of an Operator A.5 The Lax-Milgram Theorem A.6 Dense Subspace of a Normed Space A.7 The Spaces Cm(Ω), m ≥ 0 A.8 Functions of Bounded Variation and the Riemann(-Stieltjes) Integral A.9 The Lebesgue Integral and Lp-Spaces A.10 Infinitely Differentiable Functions and Distributions A.11 Sobolev Spaces and Sobolev Norms A.12 The Sobolev Inequality A.13 The Poincar´e Inequality A.14 The Hardy Inequality A.15 The Gronwall Lemma Appendix B. Fast Fourier Transforms Appendix C. Iterative Methods for Linear Systems C.1 A Gentle Approach to Iterative Methods C.2 Descent Methods for Symmetric Problems C.3 Krylov Methods for Nonsymmetric Problems Appendix D. Time Discretizations D.1 Notation and Stability Definitions D.2 Standard ODE Methods D.2.1 Leap Frog Method D.2.2 Adams-Bashforth Methods D.2.3 Adams-Moulton Methods D.2.4 Backwards-Difference Formulas D.2.5 Runge-Kutta Methods D.3 Integrating Factors D.4 Low-Storage Schemes References Index