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Preface
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Numerical Computing MATH 4800
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Possible Problems for Exams
Why Numerical Computing by Tyler Kaufman
Subsections
Preface
Chapter 1: Numerical FLOPS
Exploding a 7 Billion Rocket with a Numerical FLOPS Error
Background
Checking FLOPS in MATLAB Code per MathWorks:
Moral of the Story
Chapter 2: Root Finding
Engineering Creep Stress of Jet Engine Shafts
Background
Problem Statement
Code:
Chapter 3: Matrices
Reduced Compliance Matrices applied to Composite Material Design
Background
Problem Statement
Code
Chapter 4: Eigen values
Prevention of Shear Deformation using Eigen Values to find Principle Stresses
Background
Problem Statement
Code
Chapter 5: Interpolation
Theta-Beta-Mach Relation in Oblique Shockwaves
Background
Probelem Statement
Code
Chapter 6: Integration
Crack Propagation using Paris Equations
Background
Problem Statement:
Code
Chapter 7: ODE's
Applications of Hook's Law Through Mass Spring Damper Interactions
Background
Problem Statement:
Code