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This subtopic introduces the core ideas in dynamical systems and chaos numerics, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Numerical methods for Hamiltonian systems including symplectic integrators. This topic deals with dynamical systems and focuses on the numerical and analytical challenges of solving problems in this setting with reliable, efficient computational methods.
Used to build reliable computational methods for dynamical systems that arise in science, engineering, and data-driven modeling.
Numerical chaos. This topic deals with dynamical systems and focuses on the numerical and analytical challenges of solving problems in this setting with reliable, efficient computational methods.
Used to build reliable computational methods for dynamical systems that arise in science, engineering, and data-driven modeling.
Bifurcation problems in numerical analysis. This topic deals with dynamical systems and focuses on the numerical and analytical challenges of solving problems in this setting with reliable, efficient computational methods.
Used to build reliable computational methods for dynamical systems that arise in science, engineering, and data-driven modeling.
Numerical nonlinear stabilities. This topic deals with dynamical systems and focuses on the numerical and analytical challenges of solving problems in this setting with reliable, efficient computational methods.
Used to build reliable computational methods for dynamical systems that arise in science, engineering, and data-driven modeling.