Abstract: Embodiments relate to a computing system for solving differential equations. The system is configured to receive problem packages corresponding to problems to be solved, each comprising at least a differential equation and a domain, and to select a solver of a plurality of solvers, based upon availability of each of the plurality of solvers. A dispatch computer selects a solver by monitoring the plurality of solvers, and responsive to a solver becoming available, determines if a received problem package having at least a threshold priority level can be solved by the solver. Otherwise, the dispatch computer generates a plurality of solver scenarios each reflecting a permutation of received problem packages assigned to solvers estimated to become available within a threshold period of time, and assigns the problem packages in accordance with a solver scenario having a highest utilization score.

Abstract: Embodiments relate to a computing system for solving differential equations. The system is configured to receive problem packages corresponding to problems to be solved, each comprising at least a differential equation and a domain, and to select a solver of a plurality of solvers, based upon availability of each of the plurality of solvers. Each solver comprises a coordinator that partitions the domain of the problem into a plurality of sub-domains, and assigns each of the plurality of sub-domains to a differential equation accelerator (DEA) of a plurality of DEAs. Each DEA comprises at least two memory units, and processes the sub-domain data over a plurality of time-steps by passing the sub-domain data through a selected systolic array from one memory unit, and storing the processed sub-domain data in the other memory unit, and vice versa.

Abstract: Embodiments relate to a system for solving differential equations. The system is configured to receive problem packages corresponding to problems to be solved, each comprising at least a differential equation and a domain. A solver stores a plurality of nodes of the domain corresponding to a first time-step, and processes the nodes over a plurality of time-steps using a systolic array comprising hardware for solving the particular type of the differential equation. The systolic array processes each node to generate a node for a subsequent time-step using a sub-array comprising a plurality of branches, each branch comprising a respective set of arithmetic units arranged in accordance with a corresponding term of the discretized form of the differential equation, and an aggregator configured to aggregate the corresponding terms from each branch to generate node data for the subsequent time-step.

Abstract: Embodiments relate to a system for solving differential equations. The system is configured to receive problem packages corresponding to problems to be solved, each comprising at least a differential equation and a domain. A solver stores a plurality of nodes of the domain corresponding to a first time-step, and processes the nodes over a plurality of time-steps using a systolic array comprising hardware for solving the particular type of the differential equation. The systolic array processes each node to generate a node for a subsequent time-step using a sub-array comprising a plurality of branches, each branch comprising a respective set of arithmetic units arranged in accordance with a corresponding term of the discretized form of the differential equation, and an aggregator configured to aggregate the corresponding terms from each branch to generate node data for the subsequent time-step.