Numerical Modeling in Applied Physics and Astrophysics
Author: Richard L. Bowers
Publisher: Jones & Bartlett Publishers
Published: 1991
Total Pages: 730
ISBN-13:
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A Guide to Numerical Modelling in Systems Biology
Author: Peter Deuflhard
Publisher: Springer
Published: 2015-07-06
Total Pages: 185
ISBN-13: 3319200593
DOWNLOAD EBOOKThis book is intended for students of computational systems biology with only a limited background in mathematics. Typical books on systems biology merely mention algorithmic approaches, but without offering a deeper understanding. On the other hand, mathematical books are typically unreadable for computational biologists. The authors of the present book have worked hard to fill this gap. The result is not a book on systems biology, but on computational methods in systems biology. This book originated from courses taught by the authors at Freie Universität Berlin. The guiding idea of the courses was to convey those mathematical insights that are indispensable for systems biology, teaching the necessary mathematical prerequisites by means of many illustrative examples and without any theorems. The three chapters cover the mathematical modelling of biochemical and physiological processes, numerical simulation of the dynamics of biological networks and identification of model parameters by means of comparisons with real data. Throughout the text, the strengths and weaknesses of numerical algorithms with respect to various systems biological issues are discussed. Web addresses for downloading the corresponding software are also included.
Geometric Modelling, Numerical Simulation, and Optimization:
Author: Geir Hasle
Publisher: Springer Science & Business Media
Published: 2007-06-10
Total Pages: 559
ISBN-13: 3540687831
DOWNLOAD EBOOKThis edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.
Applied Groundwater Modeling
Author: Mary P. Anderson
Publisher: Academic Press
Published: 2015-08-13
Total Pages: 632
ISBN-13: 0080916384
DOWNLOAD EBOOKThis second edition is extensively revised throughout with expanded discussion of modeling fundamentals and coverage of advances in model calibration and uncertainty analysis that are revolutionizing the science of groundwater modeling. The text is intended for undergraduate and graduate level courses in applied groundwater modeling and as a comprehensive reference for environmental consultants and scientists/engineers in industry and governmental agencies. - Explains how to formulate a conceptual model of a groundwater system and translate it into a numerical model - Demonstrates how modeling concepts, including boundary conditions, are implemented in two groundwater flow codes-- MODFLOW (for finite differences) and FEFLOW (for finite elements) - Discusses particle tracking methods and codes for flowpath analysis and advective transport of contaminants - Summarizes parameter estimation and uncertainty analysis approaches using the code PEST to illustrate how concepts are implemented - Discusses modeling ethics and preparation of the modeling report - Includes Boxes that amplify and supplement topics covered in the text - Each chapter presents lists of common modeling errors and problem sets that illustrate concepts
Introduction to Numerical Geodynamic Modelling
Author: Taras Gerya
Publisher: Cambridge University Press
Published: 2010
Total Pages: 359
ISBN-13: 0521887542
DOWNLOAD EBOOKThis user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.
Advanced Numerical Simulation Methods
Author: Gernot Beer
Publisher: CRC Press
Published: 2015-07-27
Total Pages: 342
ISBN-13: 1315766310
DOWNLOAD EBOOKThis entertaining introduction to advanced numerical modeling aims to lead the reader on a journey towards theholy grail of numerical simulation, i.e. one without the requirement of mesh generation, that takes data directly from CAD programs. This hands-on book emphasizes implementation and examples of programming in a higher level language are given. Written for users of simulation software, so they can understand the benefits of this new technology and demand progress from a somewhat conservative industry. Written for software developers, so they can see that this is a technology with a big future and written for researchers, in the hope that it will attract more people to work in this field.
Numerical Modelling in Robotics
Author: Edgar Alonso Martínez García
Publisher: OmniaScience
Published: 2015-10-06
Total Pages: 467
ISBN-13: 8494211889
DOWNLOAD EBOOKModern robotic systems are tied to operate autonomously in real-world environments performing a variety of complex tasks. Autonomous robots must rely on fundamental capabilities such as locomotion, trajectory tracking control, multi-sensor fusion, task/path planning, navigation, and real-time perception. Combining this knowledge is essential to design rolling, walking, aquatic, and hovering robots that sense and self-control. This book contains a mathematical modelling framework to support the learning of modern robotics and mechatronics, aimed at advanced undergraduates or first-year PhD students, as well as researchers and practitioners. The volume exposes a solid understanding of mathematical methods as a common modelling framework to properly interpret advanced robotic systems. Including numerical approximations, solution of linear and non-linear systems of equations, curves fitting, differentiation and integration of functions. The book is suitable for courses on robotics, mechatronics, sensing models, vehicles design and control, modelling, simulation, and mechanisms analysis. It is organised with 17 chapters divided in five parts that conceptualise classical mechanics to model a wide variety of applied robotics. It comprehends a hover-craft, an amphibious hexapod, self-reconfiguration and under-actuation of rolling and passive walking robots with Hoekens, Klann, and Jansen limbs for bipedal, quadruped, and octapod robots.
Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids
Author: Laura De Lorenzis
Publisher: Springer Nature
Published: 2020-02-08
Total Pages: 225
ISBN-13: 3030375188
DOWNLOAD EBOOKThe book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.
Numerical Techniques for Global Atmospheric Models
Author: Peter H. Lauritzen
Publisher: Springer Science & Business Media
Published: 2011-03-29
Total Pages: 570
ISBN-13: 364211640X
DOWNLOAD EBOOKThis book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Partial Differential Equations: Modeling, Analysis and Numerical Approximation
Author: Hervé Le Dret
Publisher: Birkhäuser
Published: 2016-02-11
Total Pages: 403
ISBN-13: 3319270672
DOWNLOAD EBOOKThis book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.
