Chapter 1 A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization

Chapter 2 Runge–Kutta Methods for Ordinary Differential Equations

Chapter 3 A Positive Barzilai–Borwein-Like Stepsize and an Extension for Symmetric Linear Systems

Chapter 4 Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations

Chapter 5 The AMPL Modeling Language: An Aid to Formulating and Solving Optimization Problems

Chapter 6 An Interior-Point ℓ 1 $$\boldsymbol{\ell_{1}}$$ -Penalty Method for Nonlinear Optimization

Chapter 7 An ℓ 1 -Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities

Chapter 8 Reduced Space Dynamics-Based Geo-Statistical Prior Sampling for Uncertainty Quantification of End Goal Decisions

Chapter 9 Solving Multiscale Linear Programs Using the Simplex Method in Quadruple Precision

Chapter 10 Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review

Chapter 11 Distributed Block Coordinate Descent for Minimizing Partially Separable Functions

Chapter 13 On Chubanov’s Method for Solving a Homogeneous Inequality System