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The '''quantized state systems (QSS) methods''' are a family of numerical integration solvers based on the idea of state quantization, [[dual]] to the traditional idea of time discretization.
Unlike traditional [[numerical methods for ordinary differential equations|numerical solution methods]], which approach the problem by [[Discretization|discretizing]] time and solving for the next (real-valued) state at each successive time step, QSS methods keep time as a continuous entity and instead [[Quantization (signal processing)|quantize]] the system's state, instead solving for the ''time'' at which the state deviates from its quantized value by a ''quantum''.
They can also have many advantages compared to classical algorithms.<ref>{{cite journal |authors=Migoni, Gustavo, Ernesto Kofman, and François Cellier |title=Quantization-based new integration methods for stiff ordinary differential equations|year=2011 |journal = Simulation |pages=387–407 |url=http://sim.sagepub.com/content/88/4/387 }}</ref>
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