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Mathematical Modeling [2017]

1
Introduction
1
Introduction and Perspective
13
Theoretical Framework of the Electrochemical Model
33
Theoretical Framework of Electrochemical–Thermal Model (ECT)
37
Systems of Linear Equations
45
Key Applications of Electrochemical Theory
63
Theoretical Framework of the Reduced Order Models (ROM)
75
Basic Principles of Thermodynamics
105
Key Applications of ROM
129
Theoretical Framework for State Estimation
131
Ordinary Differential Equations
145
Theoretical Framework for Health Estimation Using Machine Learning
175
Key Applications of State and Health Estimation
197
Continuum Mechanics
303
Partial Differential Equations
427
Free Boundary Problems
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