Mathematical modeling and simulation [[electronic resource] ] : introduction for scientists and engineers / / Kai Velten

• Record Nr.: UNINA9910139501003321
• Autore: Velten Kai
• Pubbl/distr/stampa: Weinheim ; ; Chichester, : Wiley-VCH, 2009
• ISBN: 1-282-18917-4; 9786612189173; 3-527-62760-X; 3-527-62761-8
• Descrizione fisica: 1 online resource (364 p.)
• Disciplina: 511.8; 511/.8
• Soggetti: Mathematical models; Computer simulation; Science - Mathematical models; Engineering - Mathematical models; Science - Computer simulation; Engineering - Computer simulation; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Mathematical Modeling and Simulation; Contents; Preface; 1 Principles of Mathematical Modeling; 1.1 A Complex World Needs Models; 1.2 Systems, Models, Simulations; 1.2.1 Teleological Nature of Modeling and Simulation; 1.2.2 Modeling and Simulation Scheme; 1.2.3 Simulation; 1.2.4 System; 1.2.5 Conceptual and Physical Models; 1.3 Mathematics as a Natural Modeling Language; 1.3.1 Input-Output Systems; 1.3.2 General Form of Experimental Data; 1.3.3 Distinguished Role of Numerical Data; 1.4 Definition of Mathematical Models; 1.5 Examples and Some More Definitions; 1.5.1 State Variables and System Parameters1.5.2 Using Computer Algebra Software; 1.5.3 The Problem Solving Scheme; 1.5.4 Strategies to Set up Simple Models; 1.5.4.1 Mixture Problem; 1.5.4.2 Tank ; Labeling Problem; 1.5.5 Linear Programming; 1.5.6 Modeling a Black Box System; 1.6 Even More Definitions; 1.6.1 Phenomenological and Mechanistic Models; 1.6.2 Stationary and Instationary models; 1.6.3 Distributed and Lumped models; 1.7 Classification of Mathematical Models; 1.7.1 From Black to White Box Models; 1.7.2 SQM Space Classification: S Axis; 1.7.3 SQM Space Classification: Q Axis; 1.7.4 SQM Space Classification: M Axis1.8 Everything Looks Like a Nail?; 2 Phenomenological Models; 2.1 Elementary Statistics; 2.1.1 Descriptive Statistics; 2.1.1.1 Using Calc; 2.1.1.2 Using the R Commander; 2.1.2 Random Processes and Probability; 2.1.2.1 Random Variables; 2.1.2.2 Probability; 2.1.2.3 Densities and Distributions; 2.1.2.4 The Uniform Distribution; 2.1.2.5 The Normal Distribution; 2.1.2.6 Expected Value and Standard Deviation; 2.1.2.7 More on Distributions; 2.1.3 Inferential Statistics; 2.1.3.1 Is Crop A's Yield Really Higher?; 2.1.3.2 Structure of a Hypothesis Test; 2.1.3.3 The t test2.1.3.4 Testing Regression Parameters; 2.1.3.5 Analysis of Variance; 2.2 Linear Regression; 2.2.1 The Linear Regression Problem; 2.2.2 Solution Using Software; 2.2.3 The Coefficient of Determination; 2.2.4 Interpretation of the Regression Coefficients; 2.2.5 Understanding LinRegEx1.r; 2.2.6 Nonlinear Linear Regression; 2.3 Multiple Linear Regression; 2.3.1 The Multiple Linear Regression Problem; 2.3.2 Solution Using Software; 2.3.3 Cross-Validation; 2.4 Nonlinear Regression; 2.4.1 The Nonlinear Regression Problem; 2.4.2 Solution Using Software; 2.4.3 Multiple Nonlinear Regression2.4.4 Implicit and Vector-Valued Problems; 2.5 Neural Networks; 2.5.1 General Idea; 2.5.2 Feed-Forward Neural Networks; 2.5.3 Solution Using Software; 2.5.4 Interpretation of the Results; 2.5.5 Generalization and Overfitting; 2.5.6 Several Inputs Example; 2.6 Design of Experiments; 2.6.1 Completely Randomized Design; 2.6.2 Randomized Complete Block Design; 2.6.3 Latin Square and More Advanced Designs; 2.6.4 Factorial Designs; 2.6.5 Optimal Sample Size; 2.7 Other Phenomenological Modeling Approaches; 2.7.1 Soft Computing; 2.7.1.1 Fuzzy Model of a Washing Machine
• Sommario/riassunto: 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

Proceedings of the International Meeting New Trends in Mathematical Physics : in honor of the Salvatore Rionero 70th birthday : Naples, Italy, 24-25 January 2003 / / editors, Paolo Fergola ... [et al.]

• Record Nr.: UNINA9911138084703321
• Pubbl/distr/stampa: Hackensack, N.J., : World Scientific, c2004
• ISBN: 9786611898373; 9781281898371; 1281898376; 9789812702319; 9812702318
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (274 p.)
• Altri autori (Persone): FergolaPaolo, Prof; RioneroSalvatore
• Disciplina: 530.15
• Soggetti: Mathematical physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Preface; Conference Committee; CONTENTS; A Time Dependent Inverse Problem in Photon Transport A. Belleni-Morante; Torsionless Conformal Killing Tensors and Cofactor Pair Systems S. Benenti; Sulle Distorsioni del Tipo Volterra Applicate a un Cilindro Iperelastico Cavo Omogeneo Trasversalmente Isotropo G. Caricato; Heat and Mass Transport in Non-Isothermal Partially Saturated Oil-Wax Solutions A . Fasano and M. Primicerio; New Applications of a Versatile Liapunov Functional J. N. Flavin; Remarks on the Propagation of Light in the Universe D. Galletto and B. Barberis; Thermodynamic Limit for Spin Glasses S. GraffiRigid Motions in Celestial Mechanics. Keplerian Motions G. Grioli; Stability Switches on Four Types of Characteristic Equation with Discrete Delay Z. Ma and J. Li; On the Best Value of the Critical Stability Number in the Anisotropic Magnetohydrodynamic Benard Problem M. Maiellaro; A BGK-Type Model for a Gas Mixture with Reversible Reactions R. Monaco and M. Pandolfi Bianchi; Stabilizing Effects in Fluid Dynamics Problems G. Mulone; An Alternative Kinematics for Multilattices M. Pitteri; On Contact Powers and Null Lagrangian Fluxes P. Podio Guidugli and G. Vergara CaffarelliModels of Cellular Populations with Different States of Activity M. Primicerio and F. Talamucci; Flows of a Fluid with Pressure Dependant Viscosities Between Rotating Parallel Plates K. R. Rajagopal and K. Kannan; Control Aspects in Gas Dynamics P. Renno; A Functional Framework for Applied Continuum Mechanics G. Romano and M. Diaco; Global Existence, Stability and Nonlinear Wave Propagation in Binary Mixtures of Euler Fluids T. Ruggeri; Exchange of Stabilities in Porous Media and Penetrative Convection Effects B. StraughanEffects of Adaptation on Competition among Species D. Lacitignola and C. Tebaldi; Wasserstein Metric and Large-Time Asymptotics of Nonlinear Diffusion Equations J. A . Carrillo and G. Toscani; Opening Talks; Acknowledgements
• Sommario/riassunto: This proceedings volume widely surveys new problems, methods and techniques in mathematical physics. The 22 original papers featured are of great interest to various areas of applied mathematics. They are presented in honour of Professor Salvatore Rionero 70th birthday. The proceedings have been selected for coverage in:. Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings). Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). CC Proceedings - Engineering & Physical Sciences.