Civil Engineering Association

Analysis of Numerical Differential Equations and Finite Element Method

Table of Contents

Chapter 1 - Numerical Ordinary Differential Equations
Chapter 2 - Boundary Element Method, Beeman's Algorithm and Adaptive
Stepsize
Chapter 3 - Céa's Lemma
Chapter 4 - Constraint Algorithm
Chapter 5 - Compact Stencil, Courant–Friedrichs–Lewy Condition and
Direct multiple Shooting Method
Chapter 6 - Crank–Nicolson Method
Chapter 7 - Discrete Laplace Operator and Discrete Poisson Equation
Chapter 8 - Euler Method
Chapter 9 - Finite Difference
Chapter 10 - Finite Difference Method
Chapter 11 - Finite Element Method
Chapter 12 - Bramble-Hilbert Lemma and Spectral Element Method
Chapter 13 - hp-FEM
Chapter 14 - Finite Element Method in Structural Mechanics
Chapter 15 - Interval Finite Element
Chapter 16 - Modal Analysis using FEM
Chapter 17 - Domain Decomposition Methods and Additive Schwarz
Method

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