The 5th Asia Pacific Congress on Computational Mechanics (APCOM2013) & 4th International Symposium on Computational Mechanics (ISCM2013) was held in Singapore on Dec.11-14, 2013, attracting more than 600 scholars. Professor Zhou Youhe and other three professors from LZU attended the symposium. Professor ZhouYouhe made a report entitled“A Wavelet-Based Arithmetic of Closure Solutions to Nonlinear Differential Equations”at the invitation of the Chairman of the Organization Committee. Professor Wang Jizeng and Professor Gao Yuanwen jointly organized and hosted the minisymposia“Numerical and analytic methods for nonlinear, coupled multiphysics problems”at which they made five orally communicated academic reports.
Professor Zhou Youhe introduced a new technique for generally solving the initial- and boundary-value problems with arbitrary nonlinear features no matter weak or strong. Professor Zhou’s team proposed a new boundary-expansion technique for functions on bounded intervals so that the significant jumping error at each boundary can be eliminated. They proposed a new calculation technique to treat the decomposition or expansion coefficients in high accuracy. Eventually, terms with any types of nonlinearity associated with the unknown functions in the equations can be explicitly expressed in closure forms of the coefficients which can be determined by a set of nonlinear algebraic equations as the Galerkin method is applied, where the independence of the expansion coefficients within the solution interval on those truncated is evidently exhibited. This report attracted wide interests among participants and scholars. And many scholars expressed that they would like to consider applying this new approach to quantitative analysis of nonlinear embedding in their respective research.
(Translated by Ren Lina, Proofread by Lawrence Xu)
