ALBERT

Note: Table of Contents: Prologue. - List of authors and participants. - I. RADIOCARBON AND ABSOLUTE CHRONOLOGIES. - Tree-ring 14C calibration at 10.000 BP / B. Kromer and B. Becker. - On flow model dating of stable isotope records from Greenland ice cores 7 S. J. Johnsen and W. Dansgaard. - The clay-varve based Swedish time scale and its relation to the Late Weichselian radiocarbon chronology / S. björck, I. Cato, L. Brunnberg, B. Strömberg. - A step towards an absolute time-scale for the Late-Glacial: annually laminated sediments from Soppensee (Switzerland) / A. F. Lotter. - B. Ammann, J. Beer, I. Hajdas, M. Sturm. - The late glacial-holocene transition in central Europe derived from isotope studies of laminated sediments from Lake Gościaź (Poland) / K. Rozanski, T. Goslar, M. Dulinski, T. Kuc, M. F. Pazdur, A. Walanus. - Younger Dryas oscillation - varve dated microstratigraphic, palynological and palaeomagnetic records from Lake Holzmaar, Germany / B. Zolitschka, B. Haverkamp, J. F. W. Negendank. - 230Th/234U and 14C ages obtained by mass spectrometry on corals from Barbados (West Indies), Isabela (Galapagos) and Mururoa (French Polynesia) / E. Bard, R. G. Fairbanks, M. Arnold, B. Hamelin. - II. COSMONUCLIDE PRODUCTION CHANGES DURING THE PAST. - Expected secular variations in the global terrestrial production rate of radiocarbon / D. Lal. - 10Be deposition at Vostok, Antarctica, during the last 50,000 years and its relationship to possible cosmogenic production variations during this period / G. M. Raisbeck, F. Yiou, J. Jouzel, J. R. Petit, N. I. Barkov, E. Bard. - 10Be peaks as time markers in polar ice cores / J. Beer, S. J. Johnsen, G. Bonani, R. C. Finkel, C. C. Langway, H. Oeschger, B. Stauffer, M. Suter, W. Woelfli. - Variation of geomagnetic field intensity from 8-60 Ky BP, Massif Central France / J. Salis and N. Bonhommet. - A geomagnetic calibration of the radiocarbon time-scale / A. Mazaud, C. Laj, E. Bard, M. Arnold, E. Tric. - III. CLIMATIC CHANGES DURING THE LAST DEGLACIATION. - The strength of the nordic heat pump / W. S. Broecker. - δ18O time-slice reconstruction of meltwater anomalies at Termination 1 in the North Atlantic between 50 and 80°N / M. Sarnthein, E. Jansen, M. Arnold, J. C. Duplessy, H. Erlenkeuser, A. Flatoy, T. Veum, E. Vogelsang, M. S. Weinelt. - A new method to reconstruct sea surface salinity: application to the North Atlantic ocean during the Younger Dryas / J.-C. Duplessy, L. Labeyrie, A. Juillet-Leclerc, J. Duprat. - The determination of past ocean-atmosphere radiocarbon differences / J. R. Southon, D. E. Nelson, J. S. Vogel. - The last deglaciation in Antarctica: further evidence of a "Younger Dryas" type climatic event / J. Jouzel, J. R. Petit, N. I. Barkov, J. M. Barnola, J. Chappellaz, P. Ciais, V. M. Kotkyakov, C. Lorius, V. N. Petrov, D. Raynaud, C. Ritz. - Possible ice-core evidence for a fresh melt water cap over the Atlantic ocean in the early Holocene / D. A. Fisher. - Climatic changes in Northwest Africa during the last deglaciation (16-7 ka BP) / F. Gasse, J. Ch. Fontes. - The palynological expression and timing of the Younger Dryas event - Europe versus Eastern North America / D. M. Peteet.

Note: Magma Generation and Break-Up Processes --- R. S. White: Magmatism during and after continental break-up / Geological Society, London, Special Publications, 68:1-16, doi:10.1144/GSL.SP.1992.068.01.01 --- Millard F. Coffin and Olav Eldholm: Volcanism and continental break-up: a global compilation of large igneous provinces / Geological Society, London, Special Publications, 68:17-30, doi:10.1144/GSL.SP.1992.068.01.02 --- Martin A. Menzies: The lower lithosphere as a major source for continental flood basalts: a re-appraisal / Geological Society, London, Special Publications, 68:31-39, doi:10.1144/GSL.SP.1992.068.01.03 --- A. D. Saunders, M. Storey, R. W. Kent, and M. J. Norry: Consequences of plume-lithosphere interactions / Geological Society, London, Special Publications, 68:41-60, doi:10.1144/GSL.SP.1992.068.01.04 --- S. A. Gibson, R. N. Thompson, P. T. Leat, A. P. Dickin, M. A. Morrison, G. L. Hendry, and J. G. Mitchell: Asthenosphere-derived magmatism in the Rio Grande rift, western USA: implications for continental break-up / Geological Society, London, Special Publications, 68:61-89, doi:10.1144/GSL.SP.1992.068.01.05 --- D. K. Bailey: Episodic alkaline igneous activity across Africa: implications for the causes of continental break-up / Geological Society, London, Special Publications, 68:91-98, doi:10.1144/GSL.SP.1992.068.01.06 --- Don L. Anderson, Yu-Shen Zhang, and Toshiro Tanimoto: Plume heads, continental lithosphere, flood basalts and tomography / Geological Society, London, Special Publications, 68:99-124, doi:10.1144/GSL.SP.1992.068.01.07 --- Martin H. P. Bott: The stress regime associated with continental break-up / Geological Society, London, Special Publications, 68:125-136, doi:10.1144/GSL.SP.1992.068.01.08 --- Early Stages of Gondwana Break-Up --- K. G. Cox: Karoo igneous activity, and the early stages of the break-up of Gondwanaland / Geological Society, London, Special Publications, 68:137-148, doi:10.1144/GSL.SP.1992.068.01.09 --- B. C. Storey, T. Alabaster, M. J. Hole, R. J. Pankhurst, and H. E. Wever: Role of subduction-plate boundary forces during the initial stages of Gondwana break-up: evidence from the proto-Pacific margin of Antarctica / Geological Society, London, Special Publications, 68:149-163, doi:10.1144/GSL.SP.1992.068.01.10 --- David H. Elliot: Jurassic magmatism and tectonism associated with Gondwanaland break-up: an Antarctic perspective / Geological Society, London, Special Publications, 68:165-184, doi:10.1144/GSL.SP.1992.068.01.11 --- T. S. Brewer, J. M. Hergt, C. J. Hawkesworth, D. Rex, and B. C. Storey: Coats Land dolerites and the generation of Antarctic continental flood basalts / Geological Society, London, Special Publications, 68:185-208, doi:10.1144/GSL.SP.1992.068.01.12 --- C. W. Rapela and R. J. Pankhurst: The granites of northern Patagonia and the Gastre Fault System in relation to the break-up of Gondwana / Geological Society, London, Special Publications, 68:209-220, doi:10.1144/GSL.SP.1992.068.01.13 --- South Atlantic Opening --- C. J. Hawkesworth, K. Gallagher, S. Kelley, M. Mantovani, D. W. Peate, M. Regelous, and N. W. Rogers: Paraná magmatism and the opening of the South Atlantic / Geological Society, London, Special Publications, 68:221-240, doi:10.1144/GSL.SP.1992.068.01.14 --- Marjorie Wilson: Magmatism and continental rifting during the opening of the South Atlantic Ocean: a consequence of Lower Cretaceous super-plume activity? / Geological Society, London, Special Publications, 68:241-255, doi:10.1144/GSL.SP.1992.068.01.15 --- M. P. R. Light, M. P. Maslanyj, and N. L. Banks: New geophysical evidence for extensional tectonics on the divergent margin offshore Namibia / Geological Society, London, Special Publications, 68:257-270, doi:10.1144/GSL.SP.1992.068.01.16 --- Northwest Indian Ocean and Gulf of Aden --- C. W. Devey and W. E. Stephens: Deccan-related magmatism west of the Seychelles-India rift / Geological Society, London, Special Publications, 68:271-291, doi:10.1144/GSL.SP.1992.068.01.17 --- M. A. Menzies, J. Baker, D. Bosence, C. Dart, I. Davison, A. Hurford, M. Al’Kadasi, K. McClay, G. Nichols, A. Al’Subbary, and A. Yelland: The timing of magmatism, uplift and crustal extension: preliminary observations from Yemen / Geological Society, London, Special Publications, 68:293-304, doi:10.1144/GSL.SP.1992.068.01.18 --- North Atlantic Opening --- Jakob Skogseid, Tom Pedersen, Olav Eldholm, and Bjørn T. Larsen: Tectonism and magmatism during NE Atlantic continental break-up: the Vøring Margin / Geological Society, London, Special Publications, 68:305-320, doi:10.1144/GSL.SP.1992.068.01.19 --- Lotte M. Larsen, Asger K. Pedersen, Gunver K. Pedersen, and Stefan Piasecki: Timing and duration of Early Tertiary volcanism in the North Atlantic: new evidence from West Greenland / Geological Society, London, Special Publications, 68:321-333, doi:10.1144/GSL.SP.1992.068.01.20 --- R. C. O. Gill, A. K. Pedersen, and J. G. Larsen: Tertiary picrites in West Greenland: melting at the periphery of a plume? / Geological Society, London, Special Publications, 68:335-348, doi:10.1144/GSL.SP.1992.068.01.21 --- Paul Martin Holm, Niels Hald, and Troels F. D. Nielsen: Contrasts in composition and evolution of Tertiary CFBs between West and East Greenland and their relations to the establishment of the Icelandic mantle plume / Geological Society, London, Special Publications, 68:349-362, doi:10.1144/GSL.SP.1992.068.01.22 --- H. C. Larsen and C. Marcussen: Sill-intrusion, flood basalt emplacement and deep crustal structure of the Scoresby Sund region, East Greenland / Geological Society, London, Special Publications, 68:365-386, doi:10.1144/GSL.SP.1992.068.01.23 --- Aidan M. Joy: Right place, wrong time: anomalous post-rift subsidence in sedimentary basins around the North Atlantic Ocean / Geological Society, London, Special Publications, 68:387-393, doi:10.1144/GSL.SP.1992.068.01.24

Note: Contents: Preface to the Second Edition. - Preface to the First Edition. - Legal Matters. - Computer Programs by Chapter and Section. - 1 Preliminaries. - 1.0 Introduction. - 1.1 Program Organization and Control Structures. - 1.2 Error, Accuracy, and Stability. - 2 Solution of Linear Algebraic Equations. - 2.0 Introduction. - 2.1 Gauss-Jordan Elimination. - 2.2 Gaussian Elimination with Backsubstitution. - 2.3 LU Decomposition and Its Applications. - 2.4 Tridiagonal and Band Diagonal Systems of Equations. - 2.5 Iterative Improvement of a Solution to Linear Equations. - 2.6 Singular Value Decomposition. - 2.7 Sparse Linear Systems. - 2.8 Vandermonde Matrices and Toeplitz Matrices. - 2.9 Cholesky Decomposition. - 2.10 QR Decomposition. - 2.11 Is Matrix Inversion an N3 Process?. - 3 Interpolation and Extrapolation. - 3.0 Introduction. - 3.1 Polynomial Interpolation and Extrapolation. - 3.2 Rational Function Interpolation and Extrapolation. - 3.3 Cubic Spline Interpolation. - 3.4 How to Search an Ordered Table. - 3.5 Coefficients of the Interpolating Polynomial. - 3.6 Interpolation in Two or More Dimensions. - 4 Integration of Functions. - 4.0 Introduction. - 4.1 Classical Formulas for Equally Spaced Abscissas. - 4.2 Elementary Algorithms. - 4.3 Romberg Integration. - 4.4 Improper Integrals. - 4.5 Gaussian Quadratures and Orthogonal Polynomials. - 4.6 Multidimensional Integrals. - 5 Evaluation of Functions. - 5.0 Introduction. - 5.1 Series and Their Convergence. - 5.2 Evaluation of Continued Fractions. - 5.3 Polynomials and Rational Functions. - 5.4 Complex Arithmetic. - 5.5 Recurrence Relations and Clenshaw's Recurrence Formula. - 5.6 Quadratic and Cubic Equations. - 5.7 Numerical Derivatives. - 5.8 Chebyshev Approximation. - 5.9 Derivatives or Integrals of a Chebyshev-approximated Function. - 5.10 Polynomial Approximation from Chebyshev Coefficients. - 5.11 Economization of Power Series. - 5.12 Pade Approximants. - 5.13 Rational Chebyshev Approximation. - 5.14 Evaluation of Functions by Path Integration. - 6 Special Functions. - 6.0 Introduction. - 6.1 Gamma Function, Beta Function, Factorials, Binomial Coefficients. - 6.2 Incomplete Gamma Function, Error Function, Chi-Square Probability Function, Cumulative Poisson Function. - 6.3 Exponential Integrals. - 6.4 Incomplete Beta Function, Student's Distribution, F-Distribution, Cumulative Binomial Distribution. - 6.5 Bessel Functions of Integer Order. - 6.6 Modified Bessel Functions of Integer Order. - 6.7 Bessel Functions of Fractional Order, Airy Functions, Spherical Bessel Functions. - 6.8 Spherical Harmonics. - 6.9 Fresnel Integrals, Cosine and Sine Integrals. - 6.10 Dawson's Integral. - 6.11 Elliptic Integrals and Jacobian Elliptic Functions. - 6.12 Hypergeometric Functions. - 7 Random Numbers. - 7.0 Introduction. - 7.1 Uniform Deviates. - 7.2 Transformation Method: Exponential and Normal Deviates. - 7.3 Rejection Method: Gamma, Poisson, Binomial Deviates. - 7.4 Generation of Random Bits. - 7.5 Random Sequences Based on Data Encryption. - 7.6 Simple Monte Carlo Integration. - 7.7 Quasi- (that is, Sub-) Random Sequences. - 7.8 Adaptive and Recursive Monte Carlo Methods. - 8 Sorting. - 8.0 Introduction. - 8.1 Straight Insertion and Shell's Method. - 8.2 Quicksort. - 8.3 Heapsort. - 8.4 Indexing and Ranking. - 8.5 Selecting the Mth Largest. - 8.6 Determination of Equivalence Classes. - 9 Root Finding and Nonlinear Sets of Equations. - 9.0 Introduction. - 9.1 Bracketing and Bisection. - 9.2 Secant Method, False Position Method, and Ridders' Method. - 9.3 Van Wijngaarden-Dekker-Brent Method. - 9.4 Newton-Raphson Method Using Derivative. - 9.5 Roots of Polynomials. - 9.6 Newton-Raphson Method for Nonlinear Systems of Equations. - 9.7 Globally Convergent Methods for Nonlinear Systems of Equations. - 10 Minimization or Maximization of Functions. - 10.0 Introduction. - 10.1 Golden Section Search in One Dimension. - 10.2 Parabolic Interpolation and Brent's Method in One Dimension. - 10.3 One-Dimensional Search with First Derivatives. - 10.4 Downhill Simplex Method in Multidimensions. - 10.5 Direction Set (Powell's) Methods in Multidimensions. - 10.6 Conjugate Gradient Methods in Multidimensions. - 10.7 Variable Metric Methods in Multidimensions. - 10.8 Linear Programming and the Simplex Method. - 10.9 Simulated Annealing Methods. - 11 Eigensystems. - 11.0 Introduction. - 11.1 Jacobi Transformations of a Symmetric Matrix. - 11.2 Reduction of a Symmetric Matrix to Tridiagonal Form: Givens and Householder Reductions. - 11.3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix. - 11.4 Hermitian Matrices. - 11.5 Reduction of a General Matrix to Hessenberg Form. - 11.6 The QR Algorithm for Real Hessenberg Matrices. - 11.7 Improving Eigenvalues and/or Finding Eigenvectors by Inverse Iteration. - 12 Fast Fourier Transform. - 12.0 Introduction. - 12.1 Fourier Transform of Discretely Sampled Data. - 12.2 Fast Fourier Transform (FFT). - 12.3 FFT of Real Functions, Sine and Cosine Transforms. - 12.4 FFT in Two or More Dimensions. - 12.5 Fourier Transforms of Real Data in Two and Three Dimensions. - 12.6 External Storage or Memory-Local FFTs. - 13 Fourier and Spectral Applications. - 13.0 Introduction. - 13.1 Convolution and Deconvolution Using the FFT. - 13.2 Correlation and Autocorrelation Using the FFT. - 13.3 Optimal (Wiener) Filtering with the FFT. - 13.4 Power Spectrum Estimation Using the FFT. - 13.5 Digital Filtering in the Time Domain. - 13.6 Linear Prediction and Linear Predictive Coding. - 13.7 Power Spectrum Estimation by the Maximum Entropy (All Poles) Method. - 13.8 Spectral Analysis of Unevenly Sampled Data. - 13.9 Computing Fourier Integrals Using the FFT. - 13.10 Wavelet Transforms. - 13.11 Numerical Use of the Sampling Theorem. - 14 Statistical Description of Data. - 14.0 Introduction. - 14.1 Moments of a Distribution: Mean, Variance, Skewness, and So Forth. - 14.2 Do Two Distributions Have the Same Means or Variances?. - 14.3 Are Two Distributions Different?. - 14.4 Contingency Table Analysis of Two Distributions. - 14.5 Linear Correlation. - 14.6 Nonparametric or Rank Correlation. - 14.7 Do Two-Dimensional Distributions Differ?. - 14.8 Savitzky-Golay Smoothing Filters. - 15 Modeling of Data. - 15.0 Introduction. - 15.1 Least Squares as a Maximum Likelihood Estimator. - 15.2 Fitting Data to a Straight Line. - 15.3 Straight-Line Data with Errors in Both Coordinates. - 15.4 General Linear Least Squares. - 15.5 Nonlinear Models. - 15.6 Confidence Limits on Estimated Model Parameters. - 15.7 Robust Estimation. - 16 Integration of Ordinary Differential Equations. - 16.0 Introduction. - 16.1 Runge-Kutta Method. - 16.2 Adaptive Stepsize Control for Runge-Kutta. - 16.3 Modified Midpoint Method. - 16.4 Richardson Extrapolation and the Bulirsch-Stoer Method. - 16.5 Second-Order Conservative Equations. - 16.6 Stiff Sets of Equations. - 16.7 Multistep, Multivalue, and Predictor-Corrector Methods. - 17 Two Point Boundary Value Problems. - 17.0 Introduction. - 17.1 The Shooting Method. - 17.2 Shooting to a Fitting Point. - 17.3 Relaxation Methods. - 17.4 A Worked Example: Spheroidal Harmonics. - 17.5 Automated Allocation of Mesh Points. - 17.6 Handling Internal Boundary Conditions or Singular Points. - 18 Integral Equations and Inverse Theory. - 18.0 Introduction. - 18.1 Fredholm Equations of the Second Kind. - 18.2 Volterra Equations. - 18.3 Integral Equations with Singular Kernels. - 18.4 Inverse Problems and the Use of A Priori Information. - 18.5 Linear Regularization Methods. - 18.6 Backus-Gilbert Method. - 18.7 Maximum Entropy Image Restoration. - 19 Partial Differential Equations. - 19.0 Introduction. - 19.1 Flux-Conservative Initial Value Problems. - 19.2 Diffusive Initial Value Problems. - 19.3 Initial Value Problems in Multidi