An outgrowth of The Seventh International Conference on Integral Methods in Science and Engineering, this book focuses on applications of integration-based analytic and numerical techniques. The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models. Features: * Detailed, clear illustrations of efficient solution methods * Rigorous numerical results developed and justified * Application of integral methods to a wide variety of mathematical and physical problems * New results gleaned from various physical and mechanical models * Examination of an entire class of methodologies rather than narrow, specific fields of study Integral Methods in Science and Engineering is a practical resource for a broad audience of practitioners, researchers, and graduate students in applied mathematics, physics, and mechanical engineering.