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Chapman & Hall/CRC Applied Mathematics & Nonlinear Science


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A Shock-Fitting Primer

A Shock-Fitting Primer

1st Edition

Manuel D. Salas
June 14, 2017

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...

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations

1st Edition

Mark McKibben
June 14, 2017

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...

Advanced Differential Quadrature Methods

Advanced Differential Quadrature Methods

1st Edition

Zhi Zong, Yingyan Zhang
June 14, 2017

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...

Discovering Evolution Equations with Applications: Volume 2-Stochastic Equations

Discovering Evolution Equations with Applications: Volume 2-Stochastic Equations

1st Edition

Mark McKibben
June 14, 2017

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...

Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach

Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach

1st Edition

Peng-Fei Yao
June 07, 2017

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...

Introduction to the Calculus of Variations and Control with Modern Applications

Introduction to the Calculus of Variations and Control with Modern Applications

1st Edition

John A. Burns
August 28, 2013

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...

An Introduction to Partial Differential Equations with MATLAB

An Introduction to Partial Differential Equations with MATLAB

2nd Edition

Matthew P. Coleman
June 26, 2013

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...

Group Inverses of M-Matrices and Their Applications

Group Inverses of M-Matrices and Their Applications

1st Edition

Stephen J. Kirkland, Michael Neumann
December 18, 2012

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...

Nonlinear Optimal Control Theory

Nonlinear Optimal Control Theory

1st Edition

Leonard David Berkovitz, Negash G. Medhin
August 25, 2012

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...

Optimal Estimation of Dynamic Systems

Optimal Estimation of Dynamic Systems

2nd Edition

John L. Crassidis, John L. Junkins
October 26, 2011

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...

Fourier Series in Several Variables with Applications to Partial Differential Equations

Fourier Series in Several Variables with Applications to Partial Differential Equations

1st Edition

Victor Shapiro
March 28, 2011

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,...

Green's Functions and Linear Differential Equations: Theory, Applications, and Computation

Green's Functions and Linear Differential Equations: Theory, Applications, and Computation

1st Edition

Prem K. Kythe
January 21, 2011

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...

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