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New Mexico Computer Science for All. Computational Science Investigations (from the Supercomputing Challenge Kickoff 2012) Irene Lee December 9, 2012. Computational Science?. Computational Science is the use of mathematics and computer science to model
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New Mexico Computer Science for All Computational Science Investigations (from the Supercomputing Challenge Kickoff 2012) Irene Lee December 9, 2012
Computational Science? Computational Science is the use of mathematics and computer science to model “real world” problems in science, and conduct simulation experiments.
Computational Science • Increases in computational power enable us to: • design and conduct experiments on • models of systems too big, too • expensive or too dangerous to • experiment with in the real-world. • run multiple “what-if” scenarios • quickly. • collect and analyze large amounts of • data.
Simplify Real World Problem Working Model Represent Interpret Results/ Conclusions Mathematical/ Behavioral Model ComputationalModel Simulate Translate Computational Science Process
Real World Problem Working Model Represent Interpret Results/ Conclusions Mathematical/ Behavioral Model ComputationalModel Simulate Translate Computational Science Process Simplify the “real world” into an abstracted form.
Real World Problem Working Model Interpret Results/ Conclusions Mathematical/ Behavioral Model ComputationalModel Simulate Translate Computational Science Process Simplify Represent the model in formal mathematical and/or algorithmic terms.
Real World Problem Working Model Interpret Results/ Conclusions Mathematical/ Behavioral Model ComputationalModel Simulate Computational Science Process Simplify Represent Translate the equations and algorithms into computer code.
Simplify the “real world” into an abstracted form. Working Model Real World Problem Represent the model in formal mathematical and/or algorithmic terms. Interpret Results/ Conclusions Mathematical/ Behavioral Model ComputationalModel Simulate Translate the equations and algorithms into computer code. The Role of Modeling
Procedural Programming (e.g. Fortran, C, BASIC) Object-Oriented Programming (e.g. Java, C++, VisualBasic) Agent-based Programming (e.g.NetLogo) Implementation Approach:Modeling Orientation How we describe the “world” of our chosen problem … Mathematical formulas and/or logical rules describing the global behavior of the “world” as a whole. Logical rules and/or mathematical formulas describing the local behavior of the different kinds of individual objects in the “world” ... influences our choice of programming language/approach.
Procedural Programming (e.g. Fortran, C, BASIC) Object-Oriented Programming (e.g. Java, C++, VisualBasic) Agent-based Programming (e.g.NetLogo) Implementation Approach:Modeling Orientation How we describe the “world” of our chosen problem … Mathematical formulas and/or logical rules describing the global behavior of the “world” as a whole. Logical rules and/or mathematical formulas describing the local behavior of the different kinds of individual objects in the “world” ... influences our choice of programming language/approach.
Implementation Approach:Technical Application Device Control Numerical Computing Fortran Monte Carlo Simulation C Continuous Simulation C++ Discrete Event Simulation Java Cellular Automata NetLogo Agent-based Simulation