Mathematics applied to deterministic problems in the natural sciences

@inproceedings{Lin1995MathematicsAT,
  title={Mathematics applied to deterministic problems in the natural sciences},
  author={Chia-chiao Lin and Lee A. Segel and G. H. Handelman},
  booktitle={Classics in applied mathematics},
  year={1995}
}
A. An Overview of the Interaction of Mathematics and Natural Science: 1. What is applied mathematics? 2. Deterministic systems and ordinary differential equations 3. Random processes and ial differential equations 4. Superposition, heat flow, and Fourier analysis 5. Further developments in Fourier analysis B. Some Fundamental Procedures Illustrated on Ordinary Differential Equations: 6. Simplification, dimensional analysis, and scaling 7. Regular perturbation theory 8. Illustration of… 
On the Application of the Fixed Point Theory to the Solution of Systems of Linear Differential Equations to Biological and Physical Problems
In this study, I worked on how to solve the biological and physical problems using systems of linear differential equations. A differential equation is an equation involving an unknown function and
Numerical analysis
TLDR
This area is concerned with using the most powerful tools of numerical analysis, computer graphics, symbolic mathematical computations, and graphical user interfaces to make it easier for a user to set up, solve, and interpret complicated mathematical models of the real world.
Partial Differential Equations in Action: From Modelling to Theory
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from
Lin & Segel's Standing Gradient Problem Revisited: A Lesson in Mathematical Modeling and Asymptotics
TLDR
This work revisits a physiological standing gradient problem of Lin and Segel with a view to giving it an up-to-date perspective and shows that the problem can be analyzed using the tools of singular perturbation theory and matched asymptotic expansions.
Introduction to Computation and Modeling for Differential Equations
TLDR
This book successfully introduces readers to the subject through a unique "Five-M" approach: Modeling, Mathematics, Methods, MATLAB, and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation.
Kinematics in Regular and Irregular Waves based on a Lagrangian Formulation
Kinematics in two-dimensional regular and irregular swface waves is described based on the Lagrangian form of the equations of motion, with particular emphasis 011 the conditions in the so-called
Dynamical Systems Methods Applied to the Michaelis-Menten and Lindemann Mechanisms
In the first part of this thesis, we will explore an iterative procedure to determine the detailed asymptotic behaviour of solutions of a certain class of nonlinear vector differential equations
Hyperbolic differential-operator equations on a whole axis
We give an abstract interpretation of initial boundary value problems for hyperbolic equations such that a part of initial boundary value conditions contains also a differentiation on the time t of
The Method of Matched Asymptotic Expansions and Its Generalizations
Milton Van Dyke’s Perturbation Methods in Fluid Mechanics [490] was effectively both the earliest and the most influential book specifically about applied singular perturbations. (Some credit might
...
...