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9781138072312

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This monograph is a blast of extensive and detailed mathematical exposition of meshless methods. It would serve as a quick reference guide for any one studying advanced numerical methods. The content has a blend of both physics and computational mathematics. -Dr. Dominic Chandar, University of Wyoming, Laramie This book contains a comprehensive description of meshless approaches and their numerical algorithms. The easy-to-understand text clarifies some of the most advanced techniques for providing detailed mathematical derivation and worked examples where appropriate. -Qinghua Qin, Australian National University, Canberra The authors presented a thorough, balanced, and informative review of the meshless method, which has been one of the most exciting areas in computational mechanics in the past decade. Drawing on their long-time experience and excellent works on meshless method, the authors covered the different aspects of meshless method skillfully and addressed many of the essential and tough issues including stability head on. The book is an excellent reference for scientists and engineers interested in meshless method and, more generally, numerical methods for partial differential equations. -Rui Qiao, Associate Professor, Department of Mechanical Engineering, Clemson University, USA

""This monograph is a blast of extensive and detailed mathematical exposition of meshless methods. It would serve as a quick reference guide for any one studying advanced numerical methods. The content has a blend of both physics and computational mathematics.""—Dr. Dominic Chandar, University of Wyoming, Laramie ""This book contains a comprehensive description of meshless approaches and their numerical algorithms. The easy-to-understand text clarifies some of the most advanced techniques for providing detailed mathematical derivation and worked examples where appropriate.""—Qinghua Qin, Australian National University, Canberra ""The authors presented a thorough, balanced, and informative review of the meshless method, which has been one of the most exciting areas in computational mechanics in the past decade. Drawing on their long‐time experience and excellent works on meshless method, the authors covered the different aspects of meshless method skillfully and addressed many of the essential and tough issues including stability head on. The book is an excellent reference for scientists and engineers interested in meshless method and, more generally, numerical methods for partial differential equations.""—Rui Qiao, Associate Professor, Department of Mechanical Engineering, Clemson University, USA

Author Information

Dr. Hua Li is currently an assistant professor at the School of Mechanical and Aerospace Engineering at Nanyang Technological University in Singapore. His research interests include the modeling and simulation of MEMS, focusing on the use of smart hydrogels in BioMEMS applications; the development of advanced numerical methodologies; and the dynamics of high-speed rotating shell structures. He has authored or co-authored several books and book chapters, as well as more than 110 articles published in top international peer-reviewed journals. His research has been extensively funded by agencies and industries and he acted as the principal investigator of a computational BioMEMS project awarded under A*STAR’s Strategic Research Programme in MEMS. Dr. Shantanu S. Mulay currently works as a postdoctoral associate with Professor Rohan Abeyaratne of Massachusetts Institute of Technology as part of the Singapore–MIT Alliance for Research and Technology (SMART). Before joining Nanyang Technological University (NTU), Dr. Mulay worked in product enhancement of DMU (CATIA workbench) and the development of NISA (FEM product), where he gained exposure to a variety of areas such as the development of CAD translators, computational geometry, and handling user interfaces of FEM products. During his Ph.D. program at NTU, Dr. Mulay worked extensively in the field of computational mechanics and developed a meshless random differential quadrature (RDQ) method.

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