Abstract: An embodiment of a method can create a directed acyclic graph (DAG) from a programmer specified set of computation units to solve, in a computer program, physics based simulations of physical systems, and the DAG can be used to analyze and debug the computer program. In this method, the computer program can be created by automatically determining dependency relationships in the set of computation units and automatically schedule their execution. The method can also automatically allocate memory for the computation units.

Abstract: An embodiment of a method can create a directed acyclic graph (DAG) from a programmer specified set of computation units to solve, in a computer program, physics based simulations of physical systems, and the DAG can be used to analyze and debug the computer program. In this method, the computer program can be created by automatically determining dependency relationships in the set of computation units and automatically schedule their execution. The method can also automatically allocate memory for the computation units.

Abstract: System and method is disclosed for a real-time simulation of a physical system using an iterative solver, such as a finite element solver, or other solvers having a mesh size independent stopping criterion. The method includes: calculating a potential solution for a set of equations used to simulate a characteristic for a model modeling a physical system; determining a difference between the potential solution and a previously calculated potential solution; determining if a stop condition is satisfied based on the difference, where the calculation is performed iteratively until the stop condition is satisfied; and generating an output to indicate the potential solution as a steady state solution or a stall solution for the simulated characteristic of the physical system according to the determining if the stop condition is satisfied.

Abstract: An embodiment of a method can create a directed acyclic graph (DAG) from a programmer specified set of computation units to solve, in a computer program, physics based simulations of physical systems, and the DAG can be used to analyze and debug the computer program. In this method, the computer program can be created by automatically determining dependency relationships in the set of computation units and automatically schedule their execution. The method can also automatically allocate memory for the computation units.

Abstract: System and method is disclosed for a real-time simulation of a physical system using an iterative solver, such as a finite element solver, or other solvers having a mesh size independent stopping criterion. The method includes: calculating a potential solution for a set of equations used to simulate a characteristic for a model modeling a physical system; determining a difference between the potential solution and a previously calculated potential solution; determining if a stop condition is satisfied based on the difference, where the calculation is performed iteratively until the stop condition is satisfied; and generating an output to indicate the potential solution as a steady state solution or a stall solution for the simulated characteristic of the physical system according to the determining if the stop condition is satisfied.