Nonlocal Modeling, Analysis, and Computation
Qiang Du
CBMS-NSF Regional Conference Series in Applied Mathematics 94

Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. It includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to local partial differential equations and
fractional PDEs.

March 2019 / Approx. xiv + 166 pages / Softcover / 978-1-611975-61-1 /
List $59.00 / SIAM Member $41.30 / CB94

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