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Author: Rohan Verma Publisher: Rohan Verma ISBN: Category : Mathematics Languages : en Pages : 108
Book Description
The book has been designed for Science, Engineering, Mathematics and Statistics undergraduate students. A look at the contents of the book will give the reader a clear idea of the variety of numerical methods discussed and analysed. The book has been written in a concise and lucid style with proper explanation of Mathematics involved in each method. Each method is explained with solved examples, computer programs and their results as a screenshot of the graphic window and console window. The careful organisation of figures, solved examples, codes, graphic window and console window help the students grasp quickly.
Author: Rohan Verma Publisher: Rohan Verma ISBN: Category : Mathematics Languages : en Pages : 108
Book Description
The book has been designed for Science, Engineering, Mathematics and Statistics undergraduate students. A look at the contents of the book will give the reader a clear idea of the variety of numerical methods discussed and analysed. The book has been written in a concise and lucid style with proper explanation of Mathematics involved in each method. Each method is explained with solved examples, computer programs and their results as a screenshot of the graphic window and console window. The careful organisation of figures, solved examples, codes, graphic window and console window help the students grasp quickly.
Author: David Gottlieb Publisher: SIAM ISBN: 0898710235 Category : Technology & Engineering Languages : en Pages : 167
Book Description
A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Author: B. Fiedler Publisher: Gulf Professional Publishing ISBN: 0080532845 Category : Science Languages : en Pages : 1099
Book Description
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.
Author: Dario A. Bini Publisher: SIAM ISBN: 1611972086 Category : Mathematics Languages : en Pages : 261
Book Description
This treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars. It is the first book in which nonsymmetric algebraic Riccati equations are treated in a clear and systematic way. Some proofs of theoretical results have been simplified and a unified notation has been adopted. Readers will find a unified discussion of doubling algorithms, which are effective in solving algebraic Riccati equations as well as a detailed description of all classical and advanced algorithms for solving algebraic Riccati equations and their MATLAB codes. This will help the reader gain an understanding of the computational issues and provide ready-to-use implementation of the different solution techniques.
Author: Gevorg Poghosyan Publisher: KIT Scientific Publishing ISBN: 3866446934 Category : Computers Languages : en Pages : 182
Book Description
In this proceedings volume we provide a compilation of article contributions equally covering applications from different research fields and ranging from capacity up to capability computing. Besides classical computing aspects such as parallelization, the focus of these proceedings is on multi-scale approaches and methods for tackling algorithm and data complexity. Also practical aspects regarding the usage of the HPC infrastructure and available tools and software at the SCC are presented.
Author: Yousef Saad Publisher: SIAM ISBN: 9781611970739 Category : Mathematics Languages : en Pages : 292
Book Description
This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
Author: Amos Gilat Publisher: John Wiley & Sons ISBN: Category : Computers Languages : en Pages : 490
Book Description
Following a unique approach, this innovative book integrates the learning of numerical methods with practicing computer programming and using software tools in applications. It covers the fundamentals while emphasizing the most essential methods throughout the pages. Readers are also given the opportunity to enhance their programming skills using MATLAB to implement algorithms. They'll discover how to use this tool to solve problems in science and engineering.
Author: Alain Vande Wouwer Publisher: Springer ISBN: 3319067907 Category : Technology & Engineering Languages : en Pages : 416
Book Description
Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration. Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including nonoscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB®/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs. Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the book’s page at www.springer.com. This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.
Author: Rohan Verma
Author: Rohan Verma
Author: David Gottlieb
Author: B. Fiedler
Author: Dario A. Bini
Author: Gevorg Poghosyan
Author: Curtis R. Vogel
Author: Yousef Saad
Author: Amos Gilat
Author: Alain Vande Wouwer
Author: Gary Niemeyer