Decomposition Methods for Differential Equations by Juergen Geiser
Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and consistency analysis of the decomposition methods, and numerical results.
The book focuses on the modeling of selected multi-physics problems, before introducing decomposition analysis. It presents time and space discretization, temporal decomposition, and the combination of time and spatial decomposition methods for parabolic and hyperbolic equations. The author then applies these methods to numerical problems, including test examples and real-world problems in physical and engineering applications. For the computational results, he uses various software tools, such as MATLAB®, R3T, WIAS-HiTNIHS, and OPERA-SPLITT.
Exploring iterative operator-splitting methods, this book shows how to use higher-order discretization methods to solve differential equations. It discusses decomposition methods and their effectiveness, combination possibility with discretization methods, multi-scaling possibilities, and stability to initial and boundary values problems.
-
Modelling with Ordinary Differential Equations
- An Introduction to Numerical Methods
-
A Gentle Introduction to Scientific Computing
-
Particle Swarm Optimisation
-
A Concise Introduction to Image Processing using C++
-
Computational Fluid Dynamics
-
Handbook of Sinc Numerical Methods
-
Stochastic Navier-Stokes Equations on Spheres and Spherical Shells
-
Theoretical and Computational Fluid Mechanics
-
Designing Scientific Applications on GPUs
-
Numerical Methods and Optimization
-
Coupled Systems
-
Introduction to Computational Engineering with MATLAB®
-
Mathematical Objects in C++
-
Classical and Modern Numerical Analysis
-
Computational Methods for Numerical Analysis with R
-
Discrete Dynamical Systems and Chaotic Machines
-
Discrete Variational Derivative Method
-
Stochastic Methods in Scientific Computing
-
Numerical Methods for Unsteady Compressible Flow Problems
-
The Sequential Quadratic Hamiltonian Method
-
Numerical Techniques for Direct and Large-Eddy Simulations
-
Iterative Splitting Methods for Differential Equations
-
Numerical Methods for Fractional Calculus
-
Mathematics at the Meridian
-
Defect Correction Methods for Fluid Flows at High Reynolds Numbers
-
Entropies and Fractionality
-
Introduction to Computational Engineering with MATLAB (R)
-
Numerical Methods for Scientists and Engineers
-
Parallel Algorithms
Jürgen Geiser is a professor in the Department of Mathematics at Humboldt University of Berlin.
| SKU | Unavailable |
| ISBN 13 | 9781138114142 |
| ISBN 10 | 1138114146 |
| Title | Decomposition Methods for Differential Equations |
| Author | Juergen Geiser |
| Series | Chapman And Hall Crc Numerical Analysis And Scientific Computing Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | CRC Press LLC |
| Year published | 2017-06-14 |
| Number of pages | 304 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |