By Weinan E
Actual phenomena may be modeled at various levels of complexity and at diversified scales. Multiscale modeling offers a framework, in response to primary ideas, for developing mathematical and computational types of such phenomena, by means of reading the relationship among versions at assorted scales. This publication, through a number one contributor to the sector, is the 1st to supply a unified therapy of the topic, protecting, in a scientific manner, the final rules of multiscale versions, algorithms and research. After discussing the fundamental recommendations and introducing the elemental actual versions, the writer makes a speciality of the 2 commonest purposes of multiscale modeling: shooting macroscale habit and resolving neighborhood occasions. The therapy is complemented through chapters that take care of extra particular difficulties. all through, the writer moves a stability among precision and accessibility, supplying adequate aspect to allow the reader to appreciate the underlying ideas with out permitting technicalities to get within the method.