By Sören Bartels
The description of many fascinating phenomena in technology and engineering ends up in infinite-dimensional minimization or evolution difficulties that outline nonlinear partial differential equations. whereas the improvement and research of numerical equipment for linear partial differential equations is almost entire, purely few effects come in the case of nonlinear equations. This monograph devises numerical tools for nonlinear version difficulties coming up within the mathematical description of section transitions, huge bending difficulties, photo processing, and inelastic fabric habit. for every of those difficulties the underlying mathematical version is mentioned, the fundamental analytical houses are defined, and the proposed numerical procedure is conscientiously analyzed. The practicality of the algorithms is illustrated by way of brief implementations.
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Numerical Methods for Nonlinear Partial Differential Equations (Springer Series in Computational Mathematics) by Sören Bartels