Jacobian-free Newton–Krylov (JFNK) methods are synergistic combinations of Newton-type
methods for superlinearly convergent solution of nonlinear equations and Krylov subspace …

Identification and qualitative comparison of sensitivity analysis methods that have been used
across various disciplines, and that merit consideration for application to food‐safety risk …

A new methodology for constructing convex optimization models called disciplined convex
programming is introduced. The methodology enforces a set of conventions upon the …

This textbook covers both direct and iterative methods for the solution of linear systems, least
squares problems, eigenproblems, and the singular value decomposition. Earlier versions …

Many criteria for statistical parameter estimation, such as maximum likelihood, are
formulated as a nonlinear optimization problem. Automatic Differentiation Model Builder …

ITisnotsurprisingthatthedevelopmentofnum… trajectory optimization have closely paralleled
the exploration of space and the development of the digital computer. Space exploration …

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations:
Back Matter Page 1 Bibliography [1] VI Arnold. Mathematical Methods of Classical Mechanics …

Before using interval analysis as a basic tool in the following chapters, we shall now
introduce its main concepts. Section 2.2 recalls fundamental notions on set operators, set …

Direct search methods are best known as unconstrained optimization techniques that do not
explicitly use derivatives. Direct search methods were formally proposed and widely applied …

Chemical engineering applications have been a source of challenging optimization
problems for over 50 years. For many chemical process systems, detailed steady state and …