A fault-tolerant version of Open Message Passing Interface (Open MPI), based on the draft
User Level Failure Mitigation (ULFM) proposal of the MPI Forum's Fault Tolerance Working …

Substantial modifications of both the choice of the grids, the combination coefficients, the
parallel data structures and the algorithms used for the combination technique lead to …

Ultra-large–scale simulations via solving partial differential equations (PDEs) require very
large computational systems for their timely solution. Studies shown the rate of failure grows …

Using the five-dimensional gyrokinetic equations for simulations of hot fusion plasmas
requires discretizations with a lot degrees of freedom due to the curse of dimensionality. The …

This paper continues to develop a fault tolerant extension of the sparse grid combination
technique recently proposed in [B. Harding and M. Hegland, ANZIAM J. Electron. Suppl., 54 …

High-dimensional problems pose a challenge for tomorrow's supercomputing. Problems that
require the joint discretization of more dimensions than space and time are among the most …

The solution of high-dimensional problems, especially high-dimensional partial differential
equations (PDEs) that require the joint discretization of more than the usual three spatial …

We consider the HPC challenge of fault tolerance in the context of plasma physics
simulations using the sparse grid combination technique. In the combination technique …

Exascale-level simulations require fault-resilient algorithms that are robust against repeated
and expected software and/or hardware failures during computations, which may render the …

The numerical treatment of high-dimensional partial differential equations is among the most
compute-hungry problems and in urgent need for current and future high-performance …