Compact Difference Schemes for Mixed Initial Boundary Value Problems, 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Difference Schemes for Mixed Initial Boundary Value Problems, 1 write by . This book was released on 1981. Compact Difference Schemes for Mixed Initial Boundary Value Problems, 1 available in PDF, EPUB and Kindle.
Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems
Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems write by Richard B. Philips. This book was released on 1981. Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems available in PDF, EPUB and Kindle. "This paper discusses a class of compact second order accurate finite difference equations for mixed initial-boundary value problems for hyperbolic and convective-diffusion equations. Convergence is proved by means of an energy argument and both types of equations are solved by similar algorithms. For hyperbolic equations an extension of the Lax-Wendroff method is described which incorporates dissipative boundary conditions. Upwind-downwind differencing techniques arise as the formal hyperbolic limit of the convective-diffusion equation. Finally, a finite difference 'chain-rule' transforms the schemes from rectangular to quadrilateral subdomains" -- abstract.
Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies write by You-lan Zhu. This book was released on 2013-06-29. Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies available in PDF, EPUB and Kindle. Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.
Compact Difference Schemes for Mixed Initial Value Problems
Compact Difference Schemes for Mixed Initial Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Difference Schemes for Mixed Initial Value Problems write by Richard B. Philips. This book was released on 1981. Compact Difference Schemes for Mixed Initial Value Problems available in PDF, EPUB and Kindle.
Exact and Truncated Difference Schemes for Boundary Value ODEs
Exact and Truncated Difference Schemes for Boundary Value ODEs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exact and Truncated Difference Schemes for Boundary Value ODEs write by Ivan Gavrilyuk. This book was released on 2011-08-12. Exact and Truncated Difference Schemes for Boundary Value ODEs available in PDF, EPUB and Kindle. The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems. The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs.
