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Kopczewska K: Modelling Spatial Density

Modelling Spatial Density

Data, Methods, and R Applications in Statistics, Econometrics, and Machine Learning

De Gruyter Studium

Durch seine langjährige Zusammenarbeit mit der Industrie und seine Lehrtätigkeit ist de3m Autor die Problematik der Umsetzung von erworbenem, theoretischem, Wissen in die praktische Arbeit des Ingenieurs wohlbekannt. Das Buch soll zunächst helfen, die sich dabei ergebenden Schwierigkeiten zu überbrücken. Von den zum Teil sehr scharfsinnigen Methoden, welche die praktische Mathematik bereitgestellt hat, sind viele durch den Rechnereinsatz aus dem Blickpunkt des Ingenieurs verschwunden - und oft auch die damit verbundenen, vorteilhaften Lösungskonzepte. Bewährte und heute noch leistungsstarke Methoden werden jetzt unter Rechnereinsatz neu eingeführt. Aktuelle Anwendungen hierzu werden angegeben. Weiterhin wirdl an Beispielen aus der Numerischen Mathematik gezeigt, wie man heute aktuelle Lösungskonzepte so weiterentwickeln kann, dass diese auf wesentlich breitere Anwendungsfelder erfolgreich wirken. Manche dieser Weiterentwicklungen wurden vom Autor selbst entwickelt und können anhand von Anwendungsbeispielen demonstriert werden. Schließlich verlangt der Einsatz von numerischen Methoden und auch die Simulation von technischen Systemen eine Kenntnis des jeweiligen mathematischen Modells das diese Systeme beschreibt. Das Problem der mathematischen Modellbildung ist ein übergeordneter Aspekt für alle Kapitel des geplanten Buches sein.

Numerical analysis serves the development and analysis of solution methods for mathematical problems. This work takes a practice-centered approach to the mathematical modelling of technical systems. Using various example models, it presents methods for steering, regulating, and optimizing such systems in accordance with pre-defined criteria.

Grundlagen und Anwendungen

Numerische Methoden für Ingenieure

This book presents unified fatigue life prediction equations for a low/medium/high cycle fatigue of metallic materials, relevant to plain materials and notched components.

Multiaxial Notch Fracture and Fatigue

This second edition continues to present meaningful and practical solutions for teaching mathematics and statistics online, focusing on the problems observed by mathematics instructors currently working in the field. With its set of standard practices, instructors will benefit from learning many new techniques and approaches.

This second edition continues to present meaningful and practical solutions for teaching mathematics and statistics online, focusing on the problems observed by mathematics instructors currently working in the field. With its set of standard practices, instructors will benefit from learning many new techniques and approaches.

Teaching and Learning Mathematics Online

In this book, the authors provide a framework for evaluating reproducibility, replicability and generalizability of empirical research in the social sciences. They define different types of reproducibility and replicability and show how they can be measured to evaluate the credibility of published findings.

Evaluating and Improving Empirical Research in the Social Sciences

The Credibility Gap

Fluid Mechanics: An Intermediate Approach helps readers develop a physics-based understanding of complex flows and mathematically model them with accurate boundary conditions for numerical predictions. The book includes numerous worked examples and end-of-chapter problems for student practice.

Fluid Mechanics: An Intermediate Approach helps readers develop a physics-based understanding of complex flows and mathematically model them with accurate boundary conditions for numerical predictions.The new edition starts with a chapter reviewing key undergraduate concepts in fluid mechanics and thermodynamics, introducing the generalized conservation equation for differential and integral analyses. It concludes with a self-study chapter on computational fluid dynamics (CFD) of turbulent flows, including physics-based postprocessing of 3D CFD results and entropy map generation for accurate interpretation and design applications. This book includes numerous worked examples and end-of-chapter problems for student practice. It also discusses how to numerically model compressible flow over all Mach numbers in a variable-area duct, accounting for friction, heat transfer, rotation, internal choking, and normal shock formation.This book is intended for graduate mechanical and aerospace engineering students taking courses in fluid mechanics and gas dynamics.Instructors will be able to utilize a solutions manual for their course.

An Intermediate Approach

Fluid Mechanics

This book is the first one that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. They develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals.The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

Textbooks in Mathematics

This book presents an opportunity to learn difference and differential equations through a modelling-first approach. The text is meant as an introduction to those equations and not as a text only for modelling courses. Modeling is presented as the vehicle for learning difference and differential equations.

This book presents an opportunity to learn difference and differential equations through a modelling-first approach. The text is meant as an introduction to those equations and not as a text only for modelling courses. Modeling is presented as the vehicle for learning difference and differential equations.

Introduction to Differential and Difference Equations Through Modeling

This textbook offers a concise but self-contained introduction to the art of numerical modelling in sciences. It discusses all the steps, from the mathematical foundations of the model to the solution procedures that are commonly used by advanced practitioners.

Introduction to Numerical Modeling in the Earth Sciences

Oxford Series in Ecology and Evolution

Aimed at a broad audience of graduate students and researchers in ecology and evolution, this novel creates a persuasive argument that an explicit consideration of history will often lead to a deeper, more nuanced understanding of almost every eco-evolutionary system.

Aimed at a broad audience of graduate students and researchers in ecology and evolution, this novel creates a persuasive argument that an explicit consideration of history will often lead to a deeper, more nuanced understanding of almost every eco-evolutionary system.

Historical Approaches to Ecology and Evolution

Beyond Equilibria

Chapman & Hall/CRC The Python Series

Python for Mathematics introduces readers to effective methods for doing mathematics using the Python programming language

Python for Mathematics

Series in Materials Science and Engineering

This book provides an introduction to the geometrical and topological methods that have become essential tools for soft condensed matter physicists. The emphasis is on providing mathematical tools in clear but precise language, focusing on fundamental concepts using real examples to illustrate for readers in vivid, three-dimensional fashion. The motivation is clearly provided using problems from soft condensed matter, from the packing of colloids to liquid crystals and thermal fluctuations of lipid membranes.

This book provides an introduction to the geometrical and topological methods that have become essential tools for soft condensed matter physicists. The emphasis is on providing mathematical tools in clear but precise language, focusing on fundamental concepts using real examples to illustrate for readers in vivid, three-dimensional fashion. The motivation is clearly provided using problems from soft condensed matter, from the packing of colloids to liquid crystals and thermal fluctuations of lipid membranes.

Geometry and Topology of Soft Materials

The book comprises original articles on topical issues in risk theory, rational decision making, statistical decisions, and control of stochastic systems.

Modern Optimization Methods for Decision Making Under Risk and Uncertainty

Modelling Spatial Density

Bibliografische Angaben

Schlagworte

Bibliografische Angaben

Schlagworte

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