Property preserving Numerical Schemes For Conservation Laws is popular PDF and ePub book, written by Dmitri Kuzmin in 2023-08-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Property preserving Numerical Schemes For Conservation Laws can be Read Online from any device for your convenience.
Property preserving Numerical Schemes For Conservation Laws Book PDF Summary
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.
Detail Book of Property preserving Numerical Schemes For Conservation Laws PDF
- Author : Dmitri Kuzmin
- Release : 28 August 2023
- Publisher : World Scientific
- ISBN : 9789811278204
- Genre : Mathematics
- Total Page : 491 pages
- Language : English
- PDF File Size : 13,6 Mb
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