Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Schroder, Jacob B."'
Autor:
Ali, Ahsan, Brannick, James, Kahl, Karsten, Krzysik, Oliver A., Schroder, Jacob B., Southworth, Ben S.
Algebraic multigrid (AMG) is known to be an effective solver for many sparse symmetric positive definite (SPD) linear systems. For SPD systems, the convergence theory of AMG is well-understood in terms of the $A$-norm, but in a nonsymmetric setting,
Externí odkaz:
http://arxiv.org/abs/2401.11146
This work develops a novel all-at-once space-time preconditioning approach for resistive magnetohydrodynamics (MHD), with a focus on model problems targeting fusion reactor design. We consider parallel-in-time due to the long time domains required to
Externí odkaz:
http://arxiv.org/abs/2309.00768
Autor:
Ali, Ahsan, Brannick, James, Kahl, Karsten, Krzysik, Oliver A., Schroder, Jacob B., Southworth, Ben S.
Publikováno v:
SIAM J. SCI. COMPUT. 2024 Vol. 0, No. 0, pp. S96-S122
This paper focuses on developing a reduction-based algebraic multigrid method that is suitable for solving general (non)symmetric linear systems and is naturally robust from pure advection to pure diffusion. Initial motivation comes from a new reduct
Externí odkaz:
http://arxiv.org/abs/2307.00229
As CPU clock speeds have stagnated and high performance computers continue to have ever higher core counts, increased parallelism is needed to take advantage of these new architectures. Traditional serial time-marching schemes can be a significant bo
Externí odkaz:
http://arxiv.org/abs/2208.12629
Algebraic multigrid (AMG) is one of the most widely used solution techniques for linear systems of equations arising from discretized partial differential equations. The popularity of AMG stems from its potential to solve linear systems in almost lin
Externí odkaz:
http://arxiv.org/abs/2208.02995
As CPU clock speeds have stagnated, and high performance computers continue to have ever higher core counts, increased parallelism is needed to take advantage of these new architectures. Traditional serial time-marching schemes are a significant bott
Externí odkaz:
http://arxiv.org/abs/2201.10441
Based on current trends in computer architectures, faster compute speeds must come from increased parallelism rather than increased clock speeds, which are currently stagnate. This situation has created the well-known bottleneck for sequential time-i
Externí odkaz:
http://arxiv.org/abs/2107.02290
Autor:
Hessenthaler, Andreas, Falgout, Robert D., Schroder, Jacob B., de Vecchi, Adelaide, Nordsletten, David, Röhrle, Oliver
In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic MGRIT algorith
Externí odkaz:
http://arxiv.org/abs/2105.00305
This paper investigates multilevel initialization strategies for training very deep neural networks with a layer-parallel multigrid solver. The scheme is based on the continuous interpretation of the training problem as a problem of optimal control,
Externí odkaz:
http://arxiv.org/abs/1912.08974
Autor:
Guzik, Stephen M., Christopher, Joshua, Walters, Sean, Gao, Xinfeng, Schroder, Jacob B., Falgout, Robert D.
Publikováno v:
In Computers and Fluids 15 July 2023 261