High Performance Computing in the Geosciences - NATO Science Series C 1995 edition

Marc Notes: Proceedings of the NATO Advanced Research Workshop on High Performance Computing in the Geosciences, Centre de physique, Les Houches, France 21-25 June 1993--T.p. verso.; Published in cooperation with NATO Scientific Affairs Division.. Table of Contents: Preface. Performance and Portability in Parallel Computing: A Weather Forecast View; B. Rodriguez, L. Hart, T. Henderson. The New Canadian Variable-Resolution Model: A Universal Tool to Study Atmospheric Phenomena on a Broad Temporal and Spatial Scale; S. Gravel, J. Cote, A. Staniforth, M. Roch, A. Patoine. Experiences with Parallel Programming in Meteorology; F. G. Wollenweber. Porting the Quasi-Nonhydrostatic Meteorological Model to the Kendall Square Research KSR1; C. F. Baillie, A. E. MacDonald, S. Sun. Automatic Differentiation, Tangent Linear Models, and (Pseudo-) Adjoints; C. H. Bischof. Iterative Domain Decomposition Algorithms: Theory and Applications; Y. Cai, I. M. Vavon. Parallel Computing and Operational Sea-Ice Forecasting; J. Cook. Coupled Ocean-Atmosphere Simulations; L. Terray, O. Thual. First Considerations about Modelling the Ocean General Circulation on MIMD Machines by Domain Decomposition Method; M. Guyon, M. Chartier, F.-X. Roux, P. Fraunie. Predictability of the Oceanic Circulations; C. Bernier. Application of Fifth-Order Compact Upwind Differencing to Moisture Transport Equation; M. A. Tolstykh. A Parallel Algorithm for Simulation of Long Range Transport of Air Pollution; R. Skalin, E. Berge. Multidisciplinary Mathematical Models for Earthquake Prediction Studies; A. S. Alekseev. Basic Functional Representation of Programs for Automatic Differentiation in the Odyssee System; N. Rostaing-Schmidt, E. Hassold. Translation Tools for High Performance Computing; M. T. O'Keefe, A. Sawdey. Global Atmospheric and Ocean Modeling on the Connection Machine; S. R. Atlas. Efficiency of a Number of Processors in Integrating a Global Weather Model; S. K. Dash, M. Periasamy, S. Selvakumar, B. Jha."Publisher Marketing: This text surveys the state of the art of programs presently being developed which require high-performance computing for their implementation, provides a guide for decision-making in regard to computing directions in future numerical models, and presents an overview of future developments in massively parallel processing and their implications for numerical modelling in the geosciences.

Contributor Bio:  North Atlantic Treaty Organization Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index