Author: Jürgen GeiserPublisher:
ISBN:
Category :
Languages : en
Pages : 18
Book Description
Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations
Author: Jürgen GeiserIterative Operator-splitting Methods for Nonlinear Differential Equations and Applications of Deposition Processes
Author: Jürgen GeiserIterative 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
Operator Splitting Method for Parabolic Partial Differential Equations
Author: Nurcan GücüyenenPublisher:
ISBN:
Category : Differential equations, Parabolic
Languages : en
Pages : 176
Book Description
Iterative Operator Splitting Methods with Higher Order Time Integration Methods and Applications for Parabolic Partial Differential Equations
Author: Jürgen GeiserDecomposition Methods for Differential Equations
Author: Juergen GeiserPublisher: CRC Press
ISBN: 1439810974
Category : Mathematics
Languages : en
Pages : 320
Book Description
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 num
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
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.
Coupled Systems
Author: Juergen GeiserPublisher: CRC Press
ISBN: 1466578017
Category : Mathematics
Languages : en
Pages : 317
Book Description
Efficient Methods to Solve Complex Coupled Systems Coupled Systems: 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 multiphysics 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® and Simulink® 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 multiphysics 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.
Author: K. H. Karlsen