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  • Books  (21)
  • 2020-2024
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  • Mathematics  (21)
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  • Books  (21)
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  • 1
    Monograph available for loan
    Monograph available for loan
    Data assimilation : making sense of observations (2010)
    Berlin [u.a.] : Springer
    Details Availability
    Call number: M 11.0224
    Description / Table of Contents: Content: Part A Theory.- 1. Data Assimilation and Information.- 2. Mathematical Concepts of Data Assimilation.- 3. Variational Assimilation.- 4. Ensemble Kalman Filter: Status and Potential.- 5. Error Statistics in Data Assimilation: Estimation and Modelling.- 6. Bias Estimation.- 7. The Principle of Energetic Consistency in Data Assimilation.- 8. Evaluation of Assimilation Algorithms.- .9 Initialization.- Part B Observations.- 10.The Global Observing System.- 11. Assimilation of Operational Data.- 12. Research Satellites.- Part C Meteorology and Atmospheric Dynmaics.- 13. General Concepts in Meteorology and Dynamics.- 14. The Role of the Model in the Data Assimilation System.- 15. Numerical Weather Prediction.- Part D Atmospheric Chemistry.- 16. Introduction to Atmospheric Chemistry and Constituent Transport.- 17. Representation and Modelling of Uncertainties in Chemistry and Transport Models.- 18. Constituent Assimilation.- 19. Inverse Modelling and Combined State-source Estimation for Chemical Weather.- Part E Wider Applications.- 20. Ocean Data Assimilation.- 21. Land Surface Data Assimilation.- 22. Assimilation of GPS Soundings in Ionospheric Models.- Part F The Longer View.- 23. Reanalysis: Data Assimilation for Scientific Investigation of Climate.- 24. Observing System Simulation Experiments.- 25 Data Assimilation for Other Planets,- Appendix.- Index
    Type of Medium: Monograph available for loan
    Pages: xiv, 718 S. , Ill., graph. Darst., Kt.
    ISBN: 9783540747024
    Classification:
    Mathematics
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 2
    Monograph available for loan
    Monograph available for loan
    Introduction to modeling and simulation of technical and physical systems with Modelica (2011)
    Hoboken, NJ : Wiley
    Details Availability
    Call number: M 11.0296
    Description / Table of Contents: Contents: 1. Basic Concepts. 1.1 Systems and Experiments. 1.2 The Model Concept. 1.3 Simulation. 1.4 Building Models. 1.5 Analyzing Models. 1.6 Kinds of Mathematical Models. 1.7 Using Modeling and Simulation in Product Design. 1.8 Examples of System Models. 1.9 Summary. 1.10 Literature. 2. A Quick Tour of Modelica. 2.1 Getting Started with Modelica. 2.2 Object-Oriented Mathematical Modeling. 2.3 Classes and Instances. 2.4 Inheritance. 2.5 Generic Classes. 2.6 Equations. 2.7 Acausal Physical Modeling. 2.8 The Modelica Software Component Model. 2.9 Partial Classes. 2.10 Component Library Design and Use. 2.11 Example: Electrical Component Library. 2.12 The Simple Circuit Model. 2.13 Arrays. 2.14 Algorithmic Constructs. 2.15 Discrete Event and Hybrid Modeling. 2.16 Packages. 2.17 Annotations. 2.18 Naming Conventions. 2.19 Modelica Standard Libraries. 2.20 Implementation and Execution of Modelica. 2.21 History. 2.22 Summary. 2.23 Literature. 2.24 Exercises. 3. Classes and Inheritance. 3.1 Contract Between Class Designer and User. 3.2 A Class Example. 3.3 Variables. 3.4 Behavior as Equations. 3.5 Access Control. 3.6 Simulating the Moon Landing Example. 3.7 Inheritance. 3.8 Summary. 3.9 Literature. 4. System Modeling Methodology. 4.1 Building System Models. 4.2 Modeling a Tank System. 4.3 Top-Down Modeling if a DC-Motor from Predefined Components. 4.4 Designing Interfaces-Connector Classes. 4.5 Summary. 4.6 Literature. 5. The Modelica Standard Library. 5.1 Summary. 5.2 Literature. Appendix A. Glossary. Appendix B. OpenModelica and OMNotebook Commands. Appendix C. Textual Modeling with OMNotesbook and DrModelica. Appendix D. Graphical Modeling Exercises.
    Type of Medium: Monograph available for loan
    Pages: XIII, 211 S. : Ill., graph. Darst.
    ISBN: 9781118010686
    Classification:
    Mathematics
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 3
    Monograph available for loan
    Monograph available for loan
    NIST handbook of mathematical functions (2010)
    Cambridge [u.a.] : Cambridge Univ. Press [u.a.]
    Details Availability
    Call number: 19/M 11.0090
    Description / Table of Contents: Contens: 1. Algebraic and analytic methods Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong; 2. Asymptotic approximations Frank W. J. Olver and Roderick S. C. Wong; 3. Numerical methods Nico M. Temme; 4. Elementary functions Ranjan Roy and Frank W. J. Olver; 5. Gamma function Richard A. Askey and Ranjan Roy; 6. Exponential, logarithmic, sine and cosine integrals Nico M. Temme; 7. Error functions, Dawson's and Fresnel integrals Nico M. Temme; 8. Incomplete gamma and related functions Richard B. Paris; 9. Airy and related functions Frank W. J. Olver; 10. Bessel functions Frank W. J. Olver and Leonard C. Maximon; 11. Struve and related functions Richard B. Paris; 12. Parabolic cylinder functions Nico M. Temme; 13. Confluent hypergeometric functions Adri B. Olde Daalhuis; 14. Legendre and related functions T. Mark Dunster; 15. Hypergeometric function Adri B. Olde Daalhuis; 16. Generalized hypergeometric functions and Meijer G-function Richard A. Askey and Adri B. Olde Daalhuis; 17. q-Hypergeometric and related functions George E. Andrews; 18. Orthogonal polynomials Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw; 19. Elliptic integrals Bille C. Carlson; 20. Theta functions William P. Reinhardt and Peter L. Walker; 21. Multidimensional theta functions Bernard Deconinck; 22. Jacobian elliptic functions William P. Reinhardt and Peter L. Walker; 23. Weierstrass elliptic and modular functions William P. Reinhardt and Peter L. Walker; 24. Bernoulli and Euler polynomials Karl Dilcher; 25. Zeta and related functions Tom M. Apostol; 26. Combinatorial analysis David M. Bressoud; 27. Functions of number theory Tom M. Apostol; 28. Mathieu functions and Hill's equation Gerhard Wolf; 29. Lamé functions Hans Volkmer; 30. Spheroidal wave functions Hans Volkmer; 31. Heun functions Brian D. Sleeman and Vadim Kuznetsov; 32. Painlevé transcendents Peter A. Clarkson; 33. Coulomb functions Ian J. Thompson; 34. 3j,6j,9j symbols Leonard C. Maximon; 35. Functions of matrix argument Donald St. P. Richards; 36. Integrals with coalescing saddles Michael V. Berry and Chris Howls.
    Type of Medium: Monograph available for loan
    Pages: XV, 951 S. + 1 CD-ROM
    ISBN: 9780521140638
    Classification:
    Mathematics
    Location: Reading room
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  • 4
    Monograph available for loan
    Monograph available for loan
    Numerical methods for fluid dynamics : with applications to geophysics (2010)
    New York [u.a.] : Springer
    Associated volumes
    Details Availability
    Call number: M 11.0222
    In: Texts in applied mathematics
    Description / Table of Contents: Content: Ordinary Differential Equations, Finite-Difference Approximation of the Wave Equation, Diffusion, Sources and Sinks, Series Expansion Methods, Finite-Volume Methods, Semi-Lagrangian Methods, Physically Insignificant Fast Waves, Nonreflecting Boundary Conditions
    Type of Medium: Monograph available for loan
    Pages: xv, 516 S. , graph. Darst.
    Edition: 2nd ed.
    ISBN: 9781441964113
    Series Statement: Texts in applied mathematics 32
    Classification:
    Mathematics
    Location: Upper compact magazine
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  • 5
    Monograph available for loan
    Monograph available for loan
    Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems (2010)
    Cambridge : Cambridge University Press
    Details Availability
    Call number: 19/M 11.0092
    Description / Table of Contents: This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations. Contens: Part I. Variational Principles in Mathematical Physics: 1. Variational principles; 2. Variational inequalities; 3. Nonlinear eigenvalue problems; 4. Elliptic systems of gradient type; 5. Systems with arbitrary growth nonlinearities; 6. Scalar field systems; 7. Competition phenomena in Dirichlet problems; 8. Problems to Part I; Part II. Variational Principles in Geometry: 9. Sublinear problems on Riemannian manifolds; 10. Asymptotically critical problems on spheres; 11. Equations with critical exponent; 12. Problems to Part II; Part III. Variational Principles in Economics: 13. Mathematical preliminaries; 14. Minimization of cost-functions on manifolds; 15. Best approximation problems on manifolds; 16. A variational approach to Nash equilibria; 17. Problems to Part III; Appendix A. Elements of convex analysis; Appendix B. Function spaces; Appendix C. Category and genus; Appendix D. Clarke and Degiovanni gradients; Appendix E. Elements of set-valued analysis
    Type of Medium: Monograph available for loan
    ISBN: 9780521117821
    Series Statement: Encyclopedia of mathematics and its applications 136
    Classification:
    Mathematics
    Location: Reading room
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  • 6
    Monograph available for loan
    Monograph available for loan
    Discrete inverse problems : insight and algorithms (2010)
    New York : SIAM
    Details Availability
    Call number: M 12.0258
    Description / Table of Contents: Contents: 1. Introduction and motivation; 2. Meet the Fredholm integral equation of the first kind; 3. Getting to business: discretizations of linear inverse problems; 4. Computational aspects: regularization methods; 5. Getting serious: choosing the regularization parameter; 6. Toward real-world problems: iterative regularization; 7. Regularization methods at work: solving real problems; 8. Beyond the 2-norm: the use of discrete smoothing norms; Appendix A. Linear algebra stuff; Appendix B. Symmetric Toeplitz-plus-Hankel matrices and the DCT; Appendix C. Early work on 'Tikhonov regularization';
    Description / Table of Contents: This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms
    Type of Medium: Monograph available for loan
    Pages: xii, 213 S.
    ISBN: 9780898716962
    Series Statement: Fundamentals of algorithms
    Classification:
    Mathematics
    Location: Upper compact magazine
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  • 7
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    Mathematical problems in the geophysical sciences : [6. Summer Seminar on Applied Mathematics ... held at the Rensselaer Polytechnic Institute from July 6 to 31, 1970] (1971)
    Providence, RI : American Mathematical Soc.
    Details Availability
    Call number: M 12.0260/1-2
    Pages: Vol. 1 -2 , 24 cm
    Classification:
    Mathematics
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  • 8
    Monograph available for loan
    Monograph available for loan
    Statistical methods for trend detection and analysis in the environmental sciences (2011)
    Chichester : Wiley
    Details Availability
    Call number: 19/M 12.0300
    Description / Table of Contents: Contents: Preface. Contributing authors. Part I METHODOLOGY. 1 Introduction. 1.1 What is a trend? 1.2 Why analyse trends? 1.3 Some simple examples. 1.4 Considerations and Difficulties. 1.5 Scope of the book. 1.6 Further reading. References. 2 Exploratory analysis. 2.1 Data visualisation. 2.2 Simple smoothing. 2.3 Linear filters. 2.4 Classical test procedures. 2.5 Concluding comments. References. 3 Parametric modelling - deterministic trends. 3.1 The Linear trend. 3.2 Multiple regression techniques. 3.3 Violations of assumptions. 3.4 Nonlinear trends. 3.5 Generalized linear models. 3.6 Inference with small samples. References. 4 Nonparametric trend estimation. 4.1 An introduction to nonparametric regression. 4.2 Multiple covariates. 4.3 Other nonparametric estimation techniques. 4.4 Parametric or nonparametric? References. 5 Stochastic trends. 5.1 Stationary time series models and their properties. 5.2 Trend removal via differencing. 5.3 Long memory models. 5.4 Models for irregularly spaced series. 5.5 State space and structural models. 5.6 Nonlinear models. References. 6 Other issues. 6.1 Multisite data. 6.2 Multivariate series. 6.3 Point process data. 6.4 Trends in extremes. 6.5 Censored data. References. Part II CASE STUDIES. 7 Additive models for sulphur dioxide pollution in Europe ( Marco Giannitrapani, Adrian Bowman, E. Marian Scott and Ron Smith ) 7.1 Introduction. 7.2 Additive models with correlated errors. 7.3 Models for the SO 2 data. 7.4 Conclusions. References. 8 Rainfall trends in southwest Western Australia ( Richard E. Chandler, Bryson C. Bates and Stephen P. Charles ). 8.1 Motivation. 8.2 The study region. 8.3 Data used in the study. 8.4 Modelling methodology. 8.5 Results. 8.6 Summary and conclusions. References. 9 Estimation of Common tends for tropical index series ( Alain F. Zuur, Elena N. Ieno, Christina Mazziotti, Giuseppe Montanari, Attilio Rinaldi and Carla Rita Ferrari ). 9.1 Introduction. 9.2 Data exploration. 9.3 Common trends and additive modelling. 9.4 Dynamic factor analysis to estimate common trends. 9.5 Discussion. Acknowledgement. References. 10 A Space-time study on forest health ( Thomas Kneib and Ludwig Fahrmeir ). 10.1 Forest health: survey and data. 10.2 Regression models for longitudinal data with ordinal responses. 10.3 Spatiotemporal models. 10.4 Spatiotemporal modelling and analysis of forest health data. Acknowledgements. References. Index.
    Type of Medium: Monograph available for loan
    Pages: xiv, 368 p. , Ill , 24 cm
    ISBN: 9780470015438 , 0-470-01543-8
    Series Statement: Statistics in practice 90
    Classification:
    Mathematics
    Location: Reading room
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  • 9
    Monograph available for loan
    Monograph available for loan
    Mathematical modeling and simulation : introduction for scientists and engineers (2010)
    Weinheim : Wiley-VCH
    Details Availability
    Call number: 19/M 12.0342
    Description / Table of Contents: This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail.Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation?The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
    Type of Medium: Monograph available for loan
    Pages: XIV, 348 S. , Ill., graph. Darst.
    Edition: 1st repr.
    ISBN: 9783527407588
    Classification:
    Mathematics
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  • 10
    Monograph available for loan
    Monograph available for loan
    The art of differentiating computer programs : an introduction to algorithmic differentiation (2012)
    Philadelphia, Pa. : Society for Industrial and Applied Mathematics
    Details Availability
    Call number: 19/ M 13.0051
    Description / Table of Contents: This is the first entry-level book on algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation of first- and higher-order tangent-linear and adjoint code. The author covers the mathematical underpinnings as well as how to apply these observations to real-world numerical simulation programs. Readers will find: examples and exercises, including hints to solutions; the prototype AD tools dco and dcc for use with the examples and exercises; first- and higher-order tangent-linear and adjoint modes for a limited subset of C/C++, provided by the derivative code compiler dcc; a supplementary website containing sources of all software discussed in the book, additional exercises and comments on their solutions (growing over the coming years), links to other sites on AD, and errata
    Type of Medium: Monograph available for loan
    Pages: X. 340 S., graph. darst.
    ISBN: 9781611972061
    Series Statement: Software, environments, and tools 24
    Classification:
    Mathematics
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