Numerical methods for viscosity solutions and applications (Series on advances in mathematics for applied sciences, vol. 59)

• Main Authors: Falcone, Maurizio, Makridakis, Charalampos
• Format: eBook Book
• Language: English
• Published: Singapore World Scientific Publishing Co. Pte. Ltd 2001; World Scientific; World Scientific Publishing Company; WORLD SCIENTIFIC; World Scientific Publishing
• Edition: 1
• Series: Series on Advances in Mathematics for Applied Sciences
• Subjects: Aerospace engineering; Applied Mathematics; MATHEMATICS; Numerical & Computational Mathematics; Numerical Analysis and Computational Mathematics; Pure Mathematics; Viscosity solutions; Error Estimates; Adaptive Schemes; Viscosity Solutions; Geometrical Optics; Semi-Lagrangian Schemes; Front Propagation; Image Processing; Hamilton-Jacobi Equations; Finite Differences; Finite Elements
• ISBN: 9789810247171; 9810247176; 9789812799807; 981279980X
• DOI: 10.1142/4781

The volume contains twelve papers dealing with the approximation of first and second order problems which arise in many fields of application including optimal control, image processing, geometrical optics and front propagation. Some contributions deal with new algorithms and technical issues related to their implementation. Other contributions are more theoretical, dealing with the convergence of approximation schemes. Many test problems have been examined to evaluate the performances of the algorithms. The volume can attract readers involved in the numerical approximation of differential models in the above-mentioned fields of applications, engineers, graduate students as well as researchers in numerical analysis.