Introduction To Partial Differential Equations With Matlab (applied And Numerical Harmonic Analysis)
by Jeffery Cooper /
2012 / English / PDF
32.9 MB Download
The subject of partial differential equations has an unchanging
core of material but is constantly expanding and evolving.
The subject of partial differential equations has an unchanging
core of material but is constantly expanding and evolving.Introduction to Partial Differential Equations with
MATLAB
Introduction to Partial Differential Equations with
MATLAB is a careful integration of traditional
core topics with modern topics, taking full advantage of the
computational power of MATLAB to enhance the learning experience.
is a careful integration of traditional
core topics with modern topics, taking full advantage of the
computational power of MATLAB to enhance the learning experience.
This advanced text/reference is an introduction to partial
differential equations covering the traditional topics within a
modern context. To provide an up-to-date treatment, techniques of
numerical computation have been included with carefully selected
nonlinear topics, including nonlinear first order equations. Each
equation studied is placed in the appropriate physical context.
The analytical aspects of solutions are discussed in an
integrated fashion with extensive examples and exercises, both
analytical and computational. The book is excellent for classroom
use and can be used for self-study purposes.
This advanced text/reference is an introduction to partial
differential equations covering the traditional topics within a
modern context. To provide an up-to-date treatment, techniques of
numerical computation have been included with carefully selected
nonlinear topics, including nonlinear first order equations. Each
equation studied is placed in the appropriate physical context.
The analytical aspects of solutions are discussed in an
integrated fashion with extensive examples and exercises, both
analytical and computational. The book is excellent for classroom
use and can be used for self-study purposes.
Topic and Features:
Topic and Features:
• Nonlinear equations including nonlinear conservation laws;
• Nonlinear equations including nonlinear conservation laws;
• Dispersive wave equations and the Schrodinger equation;
• Dispersive wave equations and the Schrodinger equation;
• Numerical methods for each core equation including finite
difference methods, finite element methods, and the fast Fourier
transform;
• Numerical methods for each core equation including finite
difference methods, finite element methods, and the fast Fourier
transform;
• Extensive use of MATLAB programs in exercise sets. MATLAB m
files for numerical and graphics programs available by ftp from
this web site.
• Extensive use of MATLAB programs in exercise sets. MATLAB m
files for numerical and graphics programs available by ftp from
this web site.
This text/reference is an excellent resources designed to
introduce advanced students in mathematics, engineering and
sciences to partial differential equations. It is also suitable
as a self-study resource for professionals and practitioners.
This text/reference is an excellent resources designed to
introduce advanced students in mathematics, engineering and
sciences to partial differential equations. It is also suitable
as a self-study resource for professionals and practitioners.