We propose and analyze a new parallel paradigm that uses both the time space directions. The original approach couples Parareal algorithm with incomplete optimized Schwarz waveform relaxation (OSWR) iterations. analysis of this coupled method is presented for one-dimensional advection-reaction-diffusion equation. also prove general convergence result via energy estimates. Numerical results two-...

Some iterative calculations can be carried out by parallel communicating processors, and yield the same results whether or not the processors are synchronized. We show that this is the case if and only if the iteration is a contraction that is strict on orbits, with respect to an ultrametric defined on the state space. The maximum number of independent processors is given by the dimension of th...

We consider inverse iteration-based eigensolvers, which require at each step solving an “inner” linear system. We assume that this linear system is solved by some (preconditioned) Krylov subspace method. In this framework, several approaches are possible, which differ by the linear system to be solved and/or the way the preconditioner is used. This includes methods such as inexact shift-and-inv...

We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of Rn and converges locally cubically to the invariant subspaces of a symmetric matrix. This iteration is compared in terms of numerical cost and global behavior with three other methods that display the same property of cubic convergence. Moreover, we consider heuristics that greatly improve the global be...

Gestures are an essential element in the realization of paper-like user interfaces. Unfortunately, poor design and recognition of gestures has impeded the adoption of these interfaces. This paper describes a survey intended to illuminate the problems users have and benefits users enjoy with gesture-based user interfaces. From the results of the survey, we conclude that: users value gestures yet...

The surface material at the Surveyor 5 site is granular and slightly cohesive. Spacecraft footpads plowed trenches in this material as the spacecraft slid during landing. For a compressible soil model, a static bearing capacity of 2.7 newtons/cm •' gave best agreement with the observations. Static firing of the vernier engines against the surface moved surface particles; a crater 20 cm in diame...