1.

Record Nr.

UNINA9910785073303321

Titolo

Frontiers and prospects of contemporary applied mathematics [[electronic resource] /] / editors, Tatsien Li, Pingwen Zhang

Pubbl/distr/stampa

Beijing, China, : Higher Education Press

Singapore ; ; New Jersey, : World Scientific, c2005

ISBN

1-281-91933-0

9786611919337

981-277-419-X

Descrizione fisica

1 online resource (276 p.)

Collana

Series in contemporary applied mathematics ; ; 6

Altri autori (Persone)

LiDaqian

ZhangPingwen

Disciplina

510.285

620.001/51

620.00151

Soggetti

Engineering mathematics

Biomathematics

Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"During the period of the 8th Annual Conference of the China Society for Industrial and Applied Mathematics (CSIAM) held on August 24-30, 2004 in Xiangtan, Hunan Province, China, the Symposium on Frontiers and Prospects of Contemporary Applied Mathematics was held"--Pref.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents               ; Preface              ; Invited Talks                    ; An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe                                                                                ; 1 Introduction                     ; 2 Formulation of the inverse problem                                           ; 3 The iterative boundary element method for this Cauchy problem                                                                      ; 4 Numerical results for the inverse problem

5 Conclusions                    References                 ; Analysis of the Local Quasicontinuum Method                                                  ; 1 Introduction                     ; 2 The existence theorem for the continuum and the atomistic models                                                                         ; 3 Local quasicontinuum method                                    ; 4 Estimate of e(QC)                          ; References

The Artificial Boundary Method-Numerical Solutions of Partial



Differential Equations on Unbounded Domains                                                                                                                1 Introduction                     ; 2 Two typical problems                             ; 3 The global (nonlocal) artificial boundary conditions                                                             ; 4 Local boundary conditions                                  ; 5 Discrete artificial boundary conditions

6 Implicit boundary conditions                                     7 Conclusions                    ; References                 ; Optimal order integration on the sphere                                              ; 1 Introduction                     ; 2 Extremal fundamental systems versus product rules                                                          ; 3 Optimal order estimates for cubature in Sobolev spaces                                                               ; 4 Numerical example                          ; References

A Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations                                                                                                           1 Introduction                     ; 2 Multi-symplecticity of Runge-Kutta type methods for the general Hamiltonian partial differential equations

3 Multi-symplectic Runge-Kutta type methods for Schrodinger equations

Sommario/riassunto

This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.  <i>Sample Chapter(s)</i><br>Chapter 1: An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe (467 KB)<br> <br><i>Contents:</i><ul><li>An Iterative BEM for the Inverse Problem