High-order numerical methods for hyperbolic conservation laws do
not guarantee the validity of constraints that physically
meaningful approximations are supposed to satisfy. The finite
volume and finite element schemes summarized in this book use
limiting techniques to enforce discrete maximum principles and
entropy inequalities. Spurious oscillations are prevented using
artificial viscosity operators and/or essentially nonoscillatory
reconstructions.An introduction to classical nonlinear
stabilization approaches is given in the simple context of
one-dimensional finite volume discretizations. Subsequent chapters
of Part I are focused on recent extensions to continuous and
discontinuous Galerkin methods. Many of the algorithms presented in
these chapters were developed by the authors and their
collaborators. Part II gives a deeper insight into the mathematical
theory of property-preserving numerical schemes. It begins with a
review of the convergence theory for finite volume methods and ends
with analysis of algebraic flux correction schemes for finite
elements. In addition to providing ready-to-use algorithms, this
text explains the design principles behind such algorithms and
shows how to put theory into practice. Although the book is based
on lecture notes written for an advanced graduate-level course, it
is also aimed at senior researchers who develop and analyze
numerical methods for hyperbolic problems.
General
| Imprint: |
World Scientific Publishing Co Pte Ltd
|
| Country of origin: |
Singapore |
| Release date: |
September 2023 |
| Authors: |
Dmitri Kuzmin
• Hennes Hajduk
|
| Pages: |
492 |
| ISBN-13: |
978-981-12-7818-1 |
| Categories: |
Books
Promotions
|
| LSN: |
981-12-7818-0 |
| Barcode: |
9789811278181 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(7)
