In dimensions 4 and 5, single blow-up points cannot coexist with residual mass for the slightly subcritical Dirichlet problem, with constructions of interior and boundary solutions depending on the sign of V's normal derivative.
tgEDMD: approximation of the Kol- mogorov operator in tensor train format
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A tensor train method computes the Koopman generator via operator logarithm while preserving low-rank structure for scalable identification of high-dimensional nonlinear dynamics.
DATO and QMDA represent substantially different assimilation paradigms with distinct advantages and limitations in interpretability, robustness, and scalability.
citing papers explorer
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Blowing-up Solutions with Residual Mass in a Slightly Subcritical Dirichlet Problem
In dimensions 4 and 5, single blow-up points cannot coexist with residual mass for the slightly subcritical Dirichlet problem, with constructions of interior and boundary solutions depending on the sign of V's normal derivative.
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Tensor-based computation of the Koopman generator via operator logarithm
A tensor train method computes the Koopman generator via operator logarithm while preserving low-rank structure for scalable identification of high-dimensional nonlinear dynamics.
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From Classical to Quantum-Mechanical Data Assimilation: A Comparison between DATO and QMDA
DATO and QMDA represent substantially different assimilation paradigms with distinct advantages and limitations in interpretability, robustness, and scalability.