Zi Cai Li's Books

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

By: Zi Cai Li

Write a review Read reviews Take a Quiz Solve Book Puzzle

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

By: Zi Cai Li

In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

488

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461333385

ISBN 13

9781461333388

Numerical Methods for Elliptic Problems with Singularities

Boundary Methods and Nonconforming Combinations

By: Zi-Cai Li

Write a review Read reviews Take a Quiz Solve Book Puzzle

Numerical Methods for Elliptic Problems with Singularities

Boundary Methods and Nonconforming Combinations

By: Zi-Cai Li

This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

286

Publisher

World Scientific

Published Date

ISBN 10

981020292X

ISBN 13

9789810202927

Computer Transformation Of Digital Images And Patterns

By: Tien Dai Bui,Ching Yee Suen,Zi-cai Li,Yuan Yan Tang

Write a review Read reviews Take a Quiz Solve Book Puzzle

Computer Transformation Of Digital Images And Patterns

By: Tien Dai Bui,Ching Yee Suen,Zi-cai Li,Yuan Yan Tang

This book is concerned with linear and nonlinear transformations of digitized images and patterns. Transformation models include linear, quadratic, cubic, bilinear, biquadratic, bicubic, Coons model and other nonlinear forms such as harmonic, projective, and perspective transformations. Discrete techniques have been developed to realize both forward and inverse transformations. The latter can be applied to normalize distorted images and to enhance the pattern recognition process. Efficient algorithms such as the splitting-shooting methods and splitting-integrating methods have been developed and analysed in this book for the first time. Graphical examples are given and compared with existing algorithms. This book is of interest to researchers in the areas of pattern recognition, character recognition, image processing, computer vision, computer graphics and other related fields.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

276

Publisher

World Scientific

Published Date

ISBN 10

9814522112

ISBN 13

9789814522113

Trefftz and Collocation Methods

By: Z-C. Li,T-T. Lu,H-Y. Hu,A. H-D. Cheng

Write a review Read reviews Take a Quiz Solve Book Puzzle

Trefftz and Collocation Methods

By: Z-C. Li,T-T. Lu,H-Y. Hu,A. H-D. Cheng

This title was reviewed in the January 2009 issue of Mathematical Reviews.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

433

Publisher

WIT Press

Published Date

ISBN 10

1845641531

ISBN 13

9781845641535

Numerical Methods for Elliptic Problems with Singularities

Boundary Methods and Nonconforming Combinations

By: Zi-Cai Li

Write a review Read reviews Take a Quiz Solve Book Puzzle

Numerical Methods for Elliptic Problems with Singularities

Boundary Methods and Nonconforming Combinations

By: Zi-Cai Li

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

286

Publisher

World Scientific

Published Date

ISBN 10

981020292X

ISBN 13

9789810202927

Book's by Zi Cai Li

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Numerical Methods for Elliptic Problems with Singularities

Numerical Methods for Elliptic Problems with Singularities

Computer Transformation Of Digital Images And Patterns

Computer Transformation Of Digital Images And Patterns

Trefftz and Collocation Methods

Trefftz and Collocation Methods

Numerical Methods for Elliptic Problems with Singularities

Numerical Methods for Elliptic Problems with Singularities

Username

Password

Username

Password

Password again

Birthday

Email