Author: Jürgen GeiserPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Iterative Operator-splitting Methods for Nonlinear Differential Equations and Applications of Deposition Processes
Iterative Splitting Methods for Differential Equations
Author: Juergen GeiserPublisher: CRC Press
ISBN: 1439869839
Category : Mathematics
Languages : en
Pages : 325
Book Description
Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations.In th
Multicomponent and Multiscale Systems
Author: Juergen GeiserPublisher: Springer
ISBN: 3319151177
Category : Technology & Engineering
Languages : en
Pages : 343
Book Description
This book examines the latest research results from combined multi-component and multi-scale explorations. It provides theory, considers underlying numerical methods and presents brilliant computational experimentation. Engineering computations featured in this monograph further offer particular interest to many researchers, engineers and computational scientists working in frontier modeling and applications of multicomponent and multiscale problems. Professor Geiser gives specific attention to the aspects of decomposing and splitting delicate structures and controlling decomposition and the rationale behind many important applications of multi-component and multi-scale analysis. Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems. The book is ideal for engineers and scientists working in theoretical and applied areas.
Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations
Author: Jürgen GeiserCoupled Systems
Author: Juergen GeiserPublisher: CRC Press
ISBN: 1466578025
Category : Mathematics
Languages : en
Pages : 311
Book Description
Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and numerical methods. It presents splitting multiscale methods to solve multiscale and multi-physics problems and describes analytical and numerical methods in time and space for evolution equations arising in engineering problems. The book discusses the effectiveness, simplicity, stability, and consistency of the methods in solving problems that occur in real-life engineering tasks. It shows how MATLAB (R) and Simulink (R) are used to implement the methods. The author also covers the coupling of separate, multiple, and logical scales in applications, including microscale, macroscale, multiscale, and multi-physics problems. Covering mathematical, algorithmic, and practical aspects, this book brings together innovative ideas in coupled systems and extends standard engineering tools to coupled models in materials and flow problems with respect to their scale dependencies and their influence on each time and spatial scale
Splitting Methods in Communication, Imaging, Science, and Engineering
Author: Roland GlowinskiPublisher: Springer
ISBN: 3319415891
Category : Mathematics
Languages : en
Pages : 822
Book Description
This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas.
Iterative Operator Splitting Methods for Differential Equations
Author: Jürgen GeiserDecomposition Methods for Differential Equations
Author: Juergen GeiserPublisher:
ISBN: 9781138114142
Category :
Languages : en
Pages : 0
Book Description
Exploring iterative operator-splitting methods, this work describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It generalizes the numerical analysis with respect to the consistency and stability to nonlinear, stiff, and spatial decomposed splitting problems. The book focuses on parabolic and hyperbolic equations, including convection-diffusion-reaction, heat, and wave equations, and applies the results to computational science issues, such as flow problems, elastic-wave propagation, heat transfer, and micromagnetic problems. Software tools are listed in an appendix.
Operator Splitting Method and Applications for Semilinear Parabolic Partial Differential Equations
Author: Richard Corban HarwoodPublisher:
ISBN:
Category : Differential equations, Parabolic
Languages : en
Pages : 112
Book Description
Author: Jürgen Geiser