The volume is from the proceedings of the international conference held in celebration of Stanley Osher's sixtieth birthday. It presents recent developments and exciting new directions in scientific computing and partial differential equations for time dependent problems and their interplay with other fields, such as image processing, computer vision and graphics. Over the past decade, there have been very rapid developments in the field. This volume emphasizes the strong interaction of advanced mathematics with real-world applications and algorithms. The book is suitable for graduate students and research mathematicians interested in scientific computing and partial differential equations.
Systems of particles involving permutations and their continuous limits by Y. Brenier A reduced order model for epitaxial growth by R. E. Caflisch and D. G. Meyer On the role of the BV image model in image restoration by T. F. Chan and J. Shen The heterogeneous multi-scale method for interface dynamics by L.-T. Cheng and W. E On the Engquist Majda absorbing boundary conditions for hyperbolic systems by A. Ditkowski and D. Gottlieb Minimal vertical singular diffusion preventing diffusion preventing overturning for the Burgers equation by M.-H. Giga and Y. Giga $hp$-version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form by K. Harriman, P. Houston, B. Senior, and E. Suli Trigonometric spectral collocation methods on lattices by D. Li and F. J. Hickernell Approximation of exact boundary controllability problems for the 1-D wave equation by optimization-based methods by L. Ju, M. D. Gunzburger, and L. S. Hou Some low order quadrilateral Reissner-Mindlin plate elements by P. Ming and Z.-c. Shi Multi-dimensional moving mesh methods for shock computations by H. Tang and T. Tang Stochastic differential equations for driven lattice systems by D. D. Vvedensky, C. Baggio, A. Chua, C. Haselwandter, and R. Vardavas Universal solver CIP for all phases of matter by T. Yabe, K. Takizawa, F. Xiao, and A. Ikehata.