Heinz Stefan. Mathematical modeling

Heidelberg, Dordrecht, London, New York: Springer-Verlag, — 200 s. — ISBN: 978-3-642-20310-7Deterministic Analysis of Observations
Motivation
Data Transformations: Linear Models
Model Development: Polynomial Models
Model Evaluation: Population Modeling
The Advantage of Modeling: Global Warming ModelingExercisesStochastic Analysis of Observations
Motivation
Model Errors
Optimal Linear Models
Optimal Quadratic Models
Optimal Power and Exponential ModelsExercisesDeterministic States
Motivation
Dimensional Analysis and Similarity
Applications of Low-Complexity
Applications of Medium-Complexity: Time Measurement
Applications of High-Complexity: LiftExercisesStochastic States
Motivation
Probability Density Functions
Models for Probability Density Functions
Data Analysis
Real DistributionsExercisesDeterministic Changes
Motivation
Linear Changes
Linear Changes with Delays
Nonlinear Changes
Difference and Differential EquationsExercisesStochastic Changes
Motivation
Linear Stochastic Changes
Diffusion
Brownian Motion
Population DynamicsExercisesDeterministic Evolution
Motivation
Heat and Mass Transfer: Balance
Newton’s Laws of Motion: Oscillations
Population Ecology: Growth and Self-Limitation
Population Ecology: Oscillations and CollapseExercisesStochastic Evolution
Motivation
PDF Evolution Equations
Solution to the Fokker-Planck Equation
Stochastic Differential Equations
Non-Markovian Stochastic Differential EquationsExercisesDeterministic Multivariate Evolution
Motivation
Systems of First-Order Differential Equations
Population Ecology: Species Interactions
Mechanical Motions: The Pendulum
Fluid Dynamics: Lorenz’s WeatherExercisesStochastic Multivariate Evolution
Motivation
Data Analysis Concepts for Joint Random Variables
The Joint Normal Probability Density Function Model
The Fokker-Planck Equation
Molecular and Fluid MotionExercisesAuthor Index
Subject Index
About the Author