Bøger udgivet af Society for Industrial & Applied Mathematics,U.S.

Combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.

Introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations.

Many products, such as foods, personal-care products, and cleaning agents, are made by mixing ingredients together. This book describes a systematic methodology for formulating such products so that they perform according to one's goals, providing scientists and engineers with a fast track to the implementation of the methodology.

Introduces optimal control methods, formulated as optimization problems, applied to business dynamics problems. The book includes solutions that provide a rationale for the use of optimal control and guidelines for further investigation into more complex models.

Describes state-of-the-art methods for nonlinear equations and shows, via algorithms in pseudocode and Julia with several examples, how to choose an appropriate iterative method for a given problem and write an efficient solver or apply one written by others.

Describes the history of numerical methods proposed to solve linear algebra problems, from antiquity to the present day. The authors focus on methods for solving linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time.

This book provides a well-crystalized theory and computational methods for optimal control of fluid dynamics.

Contains three self-contained volumes that together provide the only modern treatise on elasticity. They introduce contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells. Each volume contains proofs, detailed surveys of all mathematical prerequisites, and problems for teaching and self-study.

The objective of Theory of Shells is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. The book contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study.

Provides a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. The volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study.

Covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. The volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study.

Fit for students just starting to build a background in mathematics, this textbook provides an introduction to numerical methods for linear algebra problems. This text is ideal for a flipped classroom, as it provides detailed explanations that allow students to read on their own and instructors to go beyond lecturing.

Iterative methods use successive approximations to obtain more accurate solutions. This volume presents historical background, derives complete convergence estimates for all methods, illustrates and provides Matlab codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers.

Provides an in-depth treatment of sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering.

Introduces students to numerical issues that arise in linear algebra and its applications. A wide range of techniques are touched on, including direct to iterative methods, orthogonal factorizations, least squares, eigenproblems, and nonlinear equations.

Starting with the fundamentals of classical smooth optimization and building on established convex programming techniques, this research monograph presents a foundation and methodology for modern nonconvex nondifferentiable optimization.

Based on a master's program course at the University of Southern California, the main goal of Mathematics and Tools for Financial Engineering is to train students to use mathematical and engineering tools to understand and solve financial problems. The book contains numerous examples and problem

Computational methods are an integral part of most scientific disciplines. This textbook introduces computational science through a set of methods and algorithms with the aim of familiarizing the reader with the field's theoretical foundations and providing the practical skills to use and develop computational methods.