Dept. of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel

A brief account of new multiscale computational approaches in the following areas: efficient algebraic multigrid, Dirac solvers, image processing, clustering, tomography, inverse hyperbolic problems, optimal control, collective computation of many eigenfunctions, global optimization, statistical mechanics and molecular dynamics. A full account of these and other developments, with detailed reference list, will appear in the Proceeding of the Yosemite Educational Symposium (Springer Series Lecture Notes in Computational Science and Engineering) and on the Internet at the time of the Copper Mountain Conference.