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Numerical Analysis and Computation Commons™
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- Analysis of dynamical systems (1)
- Born-Oppenheimer approximation (1)
- Chaos (1)
- Computational chemistry (1)
- Concurrent updates (1)
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- Data assimilation (1)
- Direct insertion (1)
- Discrete-in-time observations (1)
- Exact factorization (1)
- Local conditional equation (1)
- Lorenz equations (1)
- Newton's method (1)
- Non-adiabatic dynamics (1)
- Nonlinear Schrödinger equation (1)
- Nudging (1)
- Numerical methods (1)
- Numerical simulation (1)
- Trapezoidal rule (1)
- Upwinding (1)
Articles 1 - 2 of 2
Full-Text Articles in Numerical Analysis and Computation
Dynamic Parameter Estimation From Partial Observations Of The Lorenz System, Eunice Ng
Dynamic Parameter Estimation From Partial Observations Of The Lorenz System, Eunice Ng
Theses and Dissertations
Recent numerical work of Carlson-Hudson-Larios leverages a nudging-based algorithm for data assimilation to asymptotically recover viscosity in the 2D Navier-Stokes equations as partial observations on the velocity are received continuously-in-time. This "on-the-fly" algorithm is studied both analytically and numerically for the Lorenz equations in this thesis.
The Exact Factorization Equations For One- And Two-Level Systems, Bart Rosenzweig
The Exact Factorization Equations For One- And Two-Level Systems, Bart Rosenzweig
Theses and Dissertations
Exact Factorization is a framework for studying quantum many-body problems. This decomposes the wavefunctions of such systems into conditional and marginal components. We derive corresponding evolution equations for molecular systems whose conditional electronic subsystems are described by one or two Born-Oppenheimer levels and develop a program for their mathematical study.