Computer Methods For Ordinary Differential Equations And Differential-algebraic Equations
by Uri M. Ascher /
1998 / English / PDF
4.6 MB Download
Designed for those people who want to gain a practical knowledge of
modern techniques, this book contains all the material necessary
for a course on the numerical solution of differential equations.
Written by two of the field's leading authorities, it provides a
unified presentation of initial value and boundary value problems
in ODEs as well as differential-algebraic equations. The approach
is aimed at a thorough understanding of the issues and methods for
practical computation while avoiding an extensive theorem-proof
type of exposition. It also addresses reasons why existing software
succeeds or fails. This is a practical and mathematically well
informed introduction that emphasizes basic methods and theory,
issues in the use and development of mathematical software, and
examples from scientific engineering applications. Topics requiring
an extensive amount of mathematical development are introduced,
motivated, and included in the exercises, but a complete and
rigorous mathematical presentation is referenced rather than
included.
Designed for those people who want to gain a practical knowledge of
modern techniques, this book contains all the material necessary
for a course on the numerical solution of differential equations.
Written by two of the field's leading authorities, it provides a
unified presentation of initial value and boundary value problems
in ODEs as well as differential-algebraic equations. The approach
is aimed at a thorough understanding of the issues and methods for
practical computation while avoiding an extensive theorem-proof
type of exposition. It also addresses reasons why existing software
succeeds or fails. This is a practical and mathematically well
informed introduction that emphasizes basic methods and theory,
issues in the use and development of mathematical software, and
examples from scientific engineering applications. Topics requiring
an extensive amount of mathematical development are introduced,
motivated, and included in the exercises, but a complete and
rigorous mathematical presentation is referenced rather than
included.