Partial Differential Equations: Modeling, Analysis And Numerical Approximation (international Series Of Numerical Mathematics)
by Hervé Le Dret /
2016 / English / PDF
8.9 MB Download
This book is devoted to the study of partial differential
equation problems both from the theoretical and numerical points
of view. After presenting modeling aspects, it develops the
theoretical analysis of partial differential equation
problems for the three main classes of partial differential
equations: elliptic, parabolic and hyperbolic. Several numerical
approximation methods adapted to each of these examples are
analyzed: finite difference, finite element and finite volumes
methods, and they are illustrated using numerical simulation
results. Although parts of the book are accessible to Bachelor
students in mathematics or engineering, it is primarily aimed at
Masters students in applied mathematics or computational
engineering. The emphasis is on mathematical detail and rigor for
the analysis of both continuous and discrete problems.
This book is devoted to the study of partial differential
equation problems both from the theoretical and numerical points
of view. After presenting modeling aspects, it develops the
theoretical analysis of partial differential equation
problems for the three main classes of partial differential
equations: elliptic, parabolic and hyperbolic. Several numerical
approximation methods adapted to each of these examples are
analyzed: finite difference, finite element and finite volumes
methods, and they are illustrated using numerical simulation
results. Although parts of the book are accessible to Bachelor
students in mathematics or engineering, it is primarily aimed at
Masters students in applied mathematics or computational
engineering. The emphasis is on mathematical detail and rigor for
the analysis of both continuous and discrete problems.
