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math.DS2021★ 1 cited
Lorenz System State Stability Identification using Neural Networks
Megha Subramanian, Ramakrishna Tipireddy, Samrat Chatterjee
Nonlinear dynamical systems such as Lorenz63 equations are known to be chaotic in nature and sensitive to initial conditions. As a result, a small perturbation in the initial condi…
math.NA2021
Time-dependent stochastic basis adaptation for uncertainty quantification
Ramakrishna Tipireddy, Panos Stinis, Alexandre M. Tartakovsky
We extend stochastic basis adaptation and spatial domain decomposition methods to solve time varying stochastic partial differential equations (SPDEs) with a large number of input…