Systems and methods for computing with multiple nodes

A system, comprising:

• a processing circuit;
• and
• a memory operatively coupled to the processing circuit,
• the memory storing instructions that, when executed by the processing circuit, cause the processing circuit to perform a method, the method comprising:
• reading, by a first node, from a shared memory shared by the first node and a second node, a first data value;
• modifying, by the first node, the first data value;
• storing, by the first node, the modified first data value in a cache of the first node;
• generating, by the first node, a synchronization command;
• and
• based on the synchronization command:
• modifying, by the first node, at least a portion of the cache of the first node;
• and
• indicating, by the first node, a time step synchronization completion at the first node.

A system, comprising:

• means for processing;
• and
• a memory operatively coupled to the means for processing,
• the memory storing instructions that, when executed by the means for processing, cause the means for processing to perform a method, the method comprising:
• reading, by a first node of a plurality of nodes, from a shared memory shared by the plurality of nodes, a first data value;
• modifying, by the first node, the first data value;
• storing, by the first node, the modified first data value in a cache of the first node;
• generating, by the first node, a synchronization command;
• and
• based on the synchronization command:
• modifying, by the first node, at least a portion of the cache of the first node;
• and
• indicating, by the first node, a time step synchronization completion at the first node.