### A Shock-Fitting Primer

#### 1st Edition

A defining feature of nonlinear hyperbolic equations is the occurrence of shock waves. While the popular shock-capturing methods are easy to implement, shock-fitting techniques provide the most accurate results. A Shock-Fitting Primer presents the proper numerical treatment of shock waves and other…

Paperback – 2017-06-14

CRC Press*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Discovering Evolution Equations with Applications

#### Volume 1-Deterministic Equations, 1st Edition

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those…

Paperback – 2017-06-14

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Advanced Differential Quadrature Methods

#### 1st Edition

Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity, and multiple scales. But now researchers in…

Paperback – 2017-06-14

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Discovering Evolution Equations with Applications

#### Volume 2-Stochastic Equations, 1st Edition

Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes…

Paperback – 2017-06-14

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Modeling and Control in Vibrational and Structural Dynamics

#### A Differential Geometric Approach, 1st Edition

Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential…

Paperback – 2017-06-07

CRC Press*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Introduction to the Calculus of Variations and Control with Modern Applications

#### 1st Edition

Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book…

Hardback – 2013-08-28

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### An Introduction to Partial Differential Equations with MATLAB

#### 2nd Edition

An Introduction to Partial Differential Equations with MATLAB®, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can…

Hardback – 2013-06-26

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Group Inverses of M-Matrices and Their Applications

#### 1st Edition

Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. Group Inverses of M-Matrices and Their Applications highlights the importance and utility of the group…

Hardback – 2012-12-18

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Nonlinear Optimal Control Theory

#### 1st Edition

Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need…

Hardback – 2012-08-25

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Optimal Estimation of Dynamic Systems

#### 2nd Edition

Optimal Estimation of Dynamic Systems, Second Edition highlights the importance of both physical and numerical modeling in solving dynamics-based estimation problems found in engineering systems. Accessible to engineering students, applied mathematicians, and practicing engineers, the text presents…

Hardback – 2011-10-26

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Fourier Series in Several Variables with Applications to Partial Differential Equations

#### 1st Edition

Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results for stationary Navier-Stokes equations,…

Hardback – 2011-03-28

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Green's Functions and Linear Differential Equations

#### Theory, Applications, and Computation, 1st Edition

Green’s Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green’s function…

Hardback – 2011-01-21

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Computational Partial Differential Equations Using MATLAB

#### 1st Edition

This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite…

Hardback – 2008-10-20

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Multi-Resolution Methods for Modeling and Control of Dynamical Systems

#### 1st Edition

Unifying the most important methodology in this field, Multi-Resolution Methods for Modeling and Control of Dynamical Systems explores existing approximation methods as well as develops new ones for the approximate solution of large-scale dynamical system problems. It brings together a wide set of…

Hardback – 2008-08-01

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Mixed Boundary Value Problems

#### 1st Edition

Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value…

Hardback – 2008-03-26

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Computing with hp-ADAPTIVE FINITE ELEMENTS

#### Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications, 1st Edition

With a focus on 1D and 2D problems, the first volume of Computing with hp-ADAPTIVE FINITE ELEMENTS prepared readers for the concepts and logic governing 3D code and implementation. Taking the next step in hp technology, Volume II Frontiers: Three-Dimensional Elliptic and Maxwell Problems with…

Hardback – 2007-11-02

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Mathematics of Quantum Computation and Quantum Technology

#### 1st Edition

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of…

Hardback – 2007-09-19

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Introduction to Quantum Control and Dynamics

#### 1st Edition

The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics…

Hardback – 2007-08-03

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Introduction to non-Kerr Law Optical Solitons

#### 1st Edition

Despite remarkable developments in the field, a detailed treatment of non-Kerr law media has not been published. Introduction to non-Kerr Law Optical Solitons is the first book devoted exclusively to optical soliton propagation in media that possesses non-Kerr law nonlinearities.After an…

Hardback – 2006-11-10

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

#### 1st Edition

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution…

Hardback – 2006-11-02

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Computing with hp-ADAPTIVE FINITE ELEMENTS

#### Volume 1 One and Two Dimensional Elliptic and Maxwell Problems, 1st Edition

Offering the only existing finite element (FE) codes for Maxwell equations that support hp refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1. One- and Two-Dimensional Elliptic and Maxwell Problems presents 1D and 2D codes and automatic hp adaptivity. This…

Hardback – 2006-10-25

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Quantum Computing Devices

#### Principles, Designs, and Analysis, 1st Edition

One of the first books to thoroughly examine the subject, Quantum Computing Devices: Principles, Designs, and Analysis covers the essential components in the design of a "real" quantum computer. It explores contemporary and important aspects of quantum computation, particularly focusing on the role…

Hardback – 2006-09-18

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Introduction to Fuzzy Systems

#### 1st Edition

Introduction to Fuzzy Systems provides students with a self-contained introduction that requires no preliminary knowledge of fuzzy mathematics and fuzzy control systems theory. Simplified and readily accessible, it encourages both classroom and self-directed learners to build a solid foundation in…

Hardback – 2005-11-16

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications

#### 1st Edition

Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Pólya in the 1930's and…

Hardback – 2004-05-24

Chapman and Hall/CRC*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*### Mathematical Methods in Physics and Engineering with Mathematica

#### 1st Edition

More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and…

Hardback – 2003-05-28

CRC Press*Chapman & Hall/CRC Applied Mathematics & Nonlinear Science*