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  • Mathematisches Modell  (93)
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  • 1
    UID:
    almahu_BV010137799
    Format: XXIII, 492 S. : , Ill., graph. Darst. , 1 Diskette 3,5"
    ISBN: 3-527-28705-1
    Note: Systemvoraussetzungen: DOS-PC; 2.00 or higher; hard disk; free RAM: 0.25 Mbyte; supported graphics are VGA, CGA, and EGA. - Beil. u.d.T: ISIM and simulation examples
    Language: English
    Subjects: Biology , General works
    RVK:
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    Keywords: Umweltveränderung ; Mathematisches Modell ; Umweltveränderung ; Computersimulation
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  • 2
    Book
    Book
    Berlin [u.a.] :Springer,
    UID:
    almafu_BV014187831
    Format: XI, 243 S. : , graph. Darst. , CD-ROM (12 cm)
    ISBN: 3-540-42657-4
    Series Statement: Springer finance : Lecture notes
    Note: Systemvoraussetzung für CD-ROM: Windows 98 or higher, 128 MB RAM minimum, Java , Teilw. zugl.: New York, Univ., Diss., 1999 u.d.T.: Buff, Robert: Algorithms for nonlinear models in computational finance and their object oriented implementation
    Language: English
    Subjects: Economics , Mathematics
    RVK:
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    RVK:
    Keywords: Kreditmarkt ; Volatilität ; Risikoanalyse ; Mathematisches Modell ; Derivat ; Optionspreis ; Volatilität ; Black-Scholes-Modell ; C++ ; Hochschulschrift ; Hochschulschrift ; Hochschulschrift
    Author information: Buff, Robert 1969-
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  • 3
    Online Resource
    Online Resource
    Milan [u.a.] : Springer
    UID:
    b3kat_BV040660809
    Format: 1 Online-Ressource (X, 414 S.) , Ill., graph. Darst.
    ISBN: 9788847019348 , 9788847019355
    Series Statement: MS&A 5
    Content: This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows
    Language: English
    Keywords: Kardiovaskuläres System ; Mathematisches Modell
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 4
    Book
    Book
    New York [u.a.] : Oxford Univ. Press
    UID:
    b3kat_BV014497680
    Format: XV, 350 S. , Ill., graph. Darst.
    ISBN: 0195153146 , 9780195153149
    Content: "Mathematical Modeling of Physical Systems provides a concise and lucid introduction to mathematical modeling for students and professionals approaching the topic for the first time. It is based on the premise that modeling is as much an art as it is a science - an art that can be mastered only by sustained practice. To provide that practice, the text contains approximately 100 worked examples and numerous practice problems drawn from civil and biomedical engineering, as well as from economics, physics, and chemistry. Problems range from classical examples, such as Euler's treatment of the buckling of the strut, to contemporary topics such as silicon chip manufacturing and the dynamics of the human immunodeficiency virus (HIV). The required mathematics are confined to simple treatments of vector algebra, matrix operations, and ordinary differential equations. Both analytical and numerical methods are explained in enough detail to function as learning tools for the beginner or as refreshers for the more informed reader. Ideal for third-year engineering, mathematics, physics, and chemistry students."--BOOK JACKET.
    Language: English
    Subjects: Mathematics
    RVK:
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    Keywords: Mathematisches Modell ; Beispielsammlung
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  • 5
    UID:
    b3kat_BV041889693
    Format: 1 Online-Ressource
    ISBN: 9783642045493
    Series Statement: Heat and Mass Transfer
    Note: The homogenization of single phase gases or liquids with chemical reactive components by mixing belongs to one of the oldest basic operations applied in chemical engineering. The design of equipment for mixing processes is still derived from measurements of the mixing time which is related to the applied methods of measurement and the special design of the test equipment itself. This book was stimulated by the Priority Program on "Flow Mixing" financially supported by the Deutsche Forschungsgemeinschaft (DFG). Results are improved modern methods for experimental research and visualization, for simulations and numerical calculations of mixing and chemical reactions in micro and macro scale of time and local coordinates. The results are aimed to improve the prediction of efficiencies and selectivities of chemical reactions in macroscopic scale. The book should give an understanding of the influence of the construction of different mixing equipment on to the momentum, heat and mass transfer as well as reaction processes running on microscopic scales of time and local coordinates. Newly developed methods of measurement are adjusted to the scales of the selected special transport and conversion processes. They allow a more detailed modeling of the mixing processes by the formulation of an appropriate set of momentum-, heat- and mass balance equations as well as boundary conditions in time and local coordinates together with constitutive equations and reaction kinetics equations as closure laws for numerical and analytical calculations. The improved and more detailed modeling leads to a major progress in predicting mixing processes on the different scales adjusted to transport and reaction processes in molecular, micro- and macro dimensions , 1: Quality of Mixing -- The Variance as Measured Variable for the Evaluation of a Mixing Process or for the Comparison of Mixtures and Mixers -- Evaluating the Quality of a Mixture: Degree of Homogeneity and Scale of Segregation -- 2: Experimental Methods for Visualization and Measurements in Macro- and Micro-Scale Dimensions of Mixing -- Time-Resolved Measurement of Concentrations in Mixing Processes Using Raman Spectroscopy -- Measurements of Macro- and Micro-scale Mixing by Two-Colour Laser Induced Fluorescence -- Analysis of Macro- and Micromixing in Laminar Stirred Mixing Vessels Using Laser Optical and Numerical Methods -- Experimental Investigation of the Mixing-Process in a Jet-in-Crossflow Arrangement by Simultaneous 2d-LIF and PIV -- Characterization of Micro Mixing for Precipitation of Nanoparticles in a T-Mixer -- Mixing in Taylor-Couette Flow -- 3: Theoretical Methods for Modelling and Numerical Calculations of Mixing Processes -- Direct Numerical Simulation, Analysis and Modelling of Mixing Processes in a Round Jet in Crossflow -- Analysis of Mixing Processes in Jet Mixers Using LES under Consideration of Heat Transfer and Chemical Reaction -- Formulation and Validation of an LES Model for Ternary Mixing and Reaction Based on Joint Presumed Discrete Distributions -- Mixing Analysis and Optimization in Jet Mixer Systems by Means of Large Eddy Simulation -- Experimental Investigation of a Static Mixer for Validation of Numerical Simulations -- Simulation of Flow and Transport in a Static Mixer Using Adaptive and Higher Order Numerical Methods -- 4: Macro- and Micro-Mixing in Micro Channel Flow -- Computational Analysis of Reactive Mixing in T-Microreactors -- Experimental Analysis and Modeling of Micromixing in Microreactors -- A Numerical Approach for Simulation of Turbulent Mixing and Chemical Reaction at High Schmidt Numbers -- Theoretical and Experimental Investigations of Convective Micromixers and Microreactors for Chemical Reactions
    Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-642-04548-6
    Language: English
    Subjects: Chemistry/Pharmacy
    RVK:
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    Keywords: Mischen ; Visualisierung ; Optische Messung ; Mischen ; Numerisches Verfahren ; Mischen ; Mathematisches Modell
    Author information: Mewes, Dieter 1940-
    Author information: Peukert, Wolfgang 1958-
    Author information: Warnecke, Hans-Joachim
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  • 6
    Online Resource
    Online Resource
    Dordrecht : Springer Netherlands
    UID:
    b3kat_BV045177365
    Format: 1 Online-Ressource (XXII, 366 p)
    ISBN: 9789401595827
    Series Statement: Theory and Applications of Transport in Porous Media 16
    Content: The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9789048154012
    Language: English
    Keywords: Poröser Stoff ; Strömungsmechanik ; Transporttheorie ; Mathematisches Modell
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (lizenzpflichtig)
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  • 7
    Book
    Book
    Boca Raton ; London ; New York : CRC Press
    UID:
    b3kat_BV047128419
    Format: xi, 283 Seiten , Illustrationen, Diagramme
    Edition: Second edition
    ISBN: 9780367895679 , 9780367697792
    Content: The book is designed to better support and cover compressible flow material in gas turbine and aerodynamics courses. It begins with a brief review of thermodynamics and control volume fluid dynamics, then proceeds to cover isentropic flow, normal shock waves, shock tubes, oblique shock waves, Prandtl-Meyer expansion fans, Fanno-line flow, Rayleigh-line flow, and conical shock waves. The book includes a chapter on linearized flow following chapters on oblique shocks and Prandtl-Meyer flows to appropriately ground students in this approximate method. It includes detailed appendices to support problem solutions and covers new oblique shock tables, which allow for quick and accurate solutions of flows with concave corners. The book is intended for senior undergraduate engineering students studying thermal-fluids and practicing engineers in the areas of aerospace or energy conversion
    Note: Chapter 1 Introduction 1.1 Background information on gases 1.1.1 Air composition and air molecules 1.1.2 Temperature and gases 1.1.3 Pressure and gases 1.2 Control volume analysis and fundamental concepts 1.2.1 Basic laws for a system 1.2.2 Conservation of mass 1.2.3 Newton’s second law 1.2.4 Energy equation 1.2.5 Development of a generalized control volume equation 1.2.6 Conservation of mass for a control volume 1.2.7 Newton’s second law for a control volume 1.2.8 Conservation of energy for a control volume 1.2.9 The second law of thermodynamics for a control volume 1.3 Review of thermodynamics and the ideal gas model 1.3.1 The ideal gas law 1.3.2 Specific heats 1.3.3 Tds equations 1.4 References 1.5 Solved problems 1.6 Chapter 1 problems Chapter 2 Isentropic flow 2.1 Stagnation and static conditions 2.2 The speed of sound in a gas and compressible media 2.3 One-dimensional isentropic Mach number relationships 2.4 Converging nozzles 2.5 Flow in varying area ducts 2.6 , - Converging-diverging nozzles 2.7 References 2.8 Chapter 2 problems Chapter 3 Normal shock waves 3.1Subsonic and supersonic flow 3.2 Normal shock wave equations 3.3 Moving shock waves and shock reflections 3.4 A brief introduction to shock tubes 3.5References 3.6Chapter 3 problems Chapter 4 Oblique shock waves 4.1 Oblique shock wave equations 4.1.1 Analysis of an oblique shock wave 4.2 Supersonic flow over an abrupt wedge 4.3 Supersonic inlet, exits, , - and airfoils 4.3.1 Oblique shocks on airfoils 4.4 Oblique shock reflections 4.5 Conical shock waves 4.6 References 4.7 Chapter 4 problems Chapter 5 An introduction to Prandtl-Meyer flow 5.1 Prandtl-Meyer expansion fans 5.2 Prandtl-Meyer flow equations 5.3 Prandtl-Meyer expansions 5.4 Prandtl-Meyer reflections 5.5 Maximum turning angle for Prandtl-Meyer flow 5.6 References 5.7 Chapter 5 problems Chapter 6 Applications 6.1 Supersonic wind tunnel startup 6.2 Oblique shock diffusers 6.3 Supersonic Airfoils 6.4 Overexpanded and underexpanded supersonic nozzles 6.5 References 6.6 Chapter 6 problems Chapter 7 Linearized flow 7.1 Introduction to linearized flow 7.2 Development of linearized pressure coefficient 7.3 Linearized flow over airfoils 7.4 Comparisons with the shock expansion method 7.5 References 7.6 Chapter 7 problems Chapter 8 Internal compressible flow with friction 8.1 Introduction to flow with friction 8.2 Analysis of Fanno-line and interpretation of flow behavior 8.3 Adiabatic , - flow with friction in a constant area duct 8.4 Application of adiabatic flow with friction in a constant area duct 8.5 Isothermal flow assumption 8.6Flow with friction and area change 8.7 References 8.8 Chapter 8 problems Chapter 9 Internal compressible flow with heat addition 9.1 Introduction 9.2 Constant area frictionless flow with heat transfer 9.3 Rayleigh line analysis 9.4 Frictionless flow with heat transfer and area change 9.5 Constant area flow with heat transfer and friction 9.6 References 9.7 Chapter 9 problems Appendices: A1 Isentropic Mach Number Tables, k = 1.4 and k = 1.3 A2 Normal Shock Tables, k = 1.4 and k = 1.3 A3 Shock Tube Table, k = 1.4 and k = 1.3 A4 Oblique Shock Charts and Tables, k = 1.4 and k = 1.3 A5 Prandtl Meyer Flow Tables A6 Fanno-line flow Tables, k = 1.4 and k = 1.3 A7 Rayleigh-line flow Tables, k = 1.4 and k = 1.3
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-003-04294-5
    Language: English
    Subjects: Physics
    RVK:
    Keywords: Strömungsmechanik ; Mathematisches Modell ; Kompressibilität
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  • 8
    UID:
    b3kat_BV042422058
    Format: 1 Online-Ressource (X, 188 p)
    ISBN: 9783034881937 , 9783034894708
    Series Statement: Progress in Nonlinear Differential Equations and Their Applications 51
    Note: This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipartimento di Matematica Francesco Brioschi of Milano Politecnico and the International School for Advanced Studies (SISSA) of Trieste. The Conference took place at Villa Erba Antica (Cernobbio) on the Lago di Como on July 4- 6, 2001. In past years the calculus of variations faced mainly the study of continuous structures, say particularly problems with smooth solutions. One of the deepest and more delicate problems was the regularity of weak solutions. More recently, new sophisticated tools have been introduced in order to study discontinuities: in many variational problems solutions develop singularities, and sometimes the most interesting part of a solution is the singularity itself. The conference intended to focus on recent developments in this direction. Some of the talks were devoted to differential or variational modelling of image segmentation, occlusion and textures synthesizing in image analysis, variational description of micro-magnetic materials, dimension reduction and structured deformations in elasticity and plasticity, phase transitions, irrigation and drainage, evolution of crystalline shapes; in most cases theoretical and numerical analysis of these models were provided. viii Preface Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport prob­ lems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework
    Language: English
    Keywords: Werkstoff ; Diskontinuität ; Mathematisches Modell ; Variationsrechnung ; Konferenzschrift
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 9
    Online Resource
    Online Resource
    Berlin, Heidelberg : Springer Berlin Heidelberg
    UID:
    b3kat_BV042422475
    Format: 1 Online-Ressource (VIII, 277p)
    ISBN: 9783642187568 , 9783540211808
    Series Statement: Lecture Notes in Computational Science and Engineering 39
    Note: In August 2003, ETHZ Computational Laboratory (CoLab), together with the Swiss Center for Scientific Computing in Manno and the Università della Svizzera Italiana (USI), organized the Summer School in "Multiscale Modelling and Simulation" in Lugano, Switzerland. This summer school brought together experts in different disciplines to exchange ideas on how to link methodologies on different scales. Relevant examples of practical interest include: structural analysis of materials, flow through porous media, turbulent transport in high Reynolds number flows, large-scale molecular dynamic simulations, ab-initio physics and chemistry, and a multitude of others. Though multiple scale models are not new, the topic has recently taken on a new sense of urgency. A number of hybrid approaches are now created in which ideas coming from distinct disciplines or modelling approaches are unified to produce new and computationally efficient techniques
    Language: English
    Keywords: Mathematisches Modell ; Mehrskalenanalyse ; Konferenzschrift ; Konferenzschrift
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 10
    UID:
    b3kat_BV042419320
    Format: 1 Online-Ressource (XXI, 286 p)
    ISBN: 9781441991607 , 9781461348153
    Series Statement: Applied Optimization 81
    Note: The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects
    Language: English
    Keywords: Angewandte Mathematik ; Mathematisches Modell
    URL: Volltext  (lizenzpflichtig)
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