2014 - SIAM Fellow For contributions to the numerical analysis of systems, control, and data assimilation.
Nancy Nichols focuses on Control theory, Applied mathematics, Data assimilation, Controllability and Observability. Her study in the field of Descriptor systems and Full state feedback also crosses realms of Polynomial matrix and Quadratic function. Her work deals with themes such as Transformation, Coordinate-free, Shallow water equations and Linear system, which intersect with Applied mathematics.
The study incorporates disciplines such as Algorithm, Statistics, Thermal and Interpolation in addition to Data assimilation. Her Controllability research incorporates themes from Derivative, Equivalence, Canonical form and Output feedback. Her work focuses on many connections between State and other disciplines, such as Measure, that overlap with her field of interest in Matrix.
Nancy Nichols spends much of her time researching Data assimilation, Control theory, Applied mathematics, Meteorology and Mathematical optimization. Her work carried out in the field of Data assimilation brings together such families of science as Covariance matrix, Covariance, Statistics, Errors-in-variables models and Numerical weather prediction. Her study involves Descriptor systems, Output feedback, Optimal control, Robustness and Linear system, a branch of Control theory.
Nancy Nichols focuses mostly in the field of Applied mathematics, narrowing it down to matters related to Condition number and, in some cases, Hessian matrix. The various areas that Nancy Nichols examines in her Meteorology study include Climatology and Predictability. In her research, Control theory is intimately related to Nonlinear system, which falls under the overarching field of Mathematical optimization.
Nancy Nichols mainly focuses on Data assimilation, Meteorology, Statistics, Covariance and Numerical weather prediction. Nancy Nichols has included themes like Sampling, Covariance matrix, Satellite, Applied mathematics and Remote sensing in her Data assimilation study. Her Applied mathematics study incorporates themes from Linear map, Attractor, Econometrics and Bayesian probability.
The Statistics study combines topics in areas such as Flood myth and Flood forecasting. Her Covariance research includes elements of Condition number and Matrix. Her Matrix study integrates concerns from other disciplines, such as Cloud top, Errors-in-variables models, Representation and Regression.
Her primary scientific interests are in Data assimilation, Statistics, Covariance matrix, Numerical weather prediction and Meteorology. Her studies deal with areas such as Matrix, Covariance, Eigenvalues and eigenvectors and Forecast skill as well as Data assimilation. Her Matrix study frequently draws parallels with other fields, such as Applied mathematics.
Her research in Applied mathematics intersects with topics in Condition number, Linear map, Hessian matrix and Bayesian probability. The concepts of her Numerical weather prediction study are interwoven with issues in Wind speed, Ranging, Geodesy and Radiosonde. Her Meteorology research integrates issues from Doppler radar and Atmospheric sciences.
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Robust pole assignment in linear state feedback
J Kautsky;Nancy Nichols;P M Van Dooren.
International Journal of Control (1985)
Approximate Gauss-Newton Methods for Nonlinear Least Squares Problems
S. Gratton;A. S. Lawless;N. K. Nichols.
Siam Journal on Optimization (2007)
Are patterns of growth adaptive
R. Sibly;P. Calow;Nancy Nichols.
Journal of Theoretical Biology (1985)
Numerical computation of an analytic singular value decomposition of a matrix valued function
Angelika Bunse-Gerstner;Ralph Byers;Volker Mehrmann;Nancy K. Nichols.
Numerische Mathematik (1991)
On the representation error in data assimilation
T. Janjic;N. Bormann;M. Bocquet;J. A. Carton.
Quarterly Journal of the Royal Meteorological Society (2018)
A singular vector perspective of 4D‐Var: Filtering and interpolation
Christine Johnson;Brian J. Hoskins;Nancy K. Nichols.
Quarterly Journal of the Royal Meteorological Society (2005)
Eigenstructure assignment in descriptor systems
L. Fletcher;J. Kautsky;N. Nichols.
IEEE Transactions on Automatic Control (1986)
Regularization of descriptor systems by derivative and proportional state feedback
Angelika Bunse-Gerstner;Volker Mehrmann;Nancy K. Nichols.
SIAM Journal on Matrix Analysis and Applications (1992)
Unbiased ensemble square root filters
David M. Livings;Sarah L. Dance;Nancy K. Nichols.
Physica D: Nonlinear Phenomena (2007)
Assimilation of data into an ocean model with systematic errors near the equator
M. J. Bell;M. J. Martin;N. K. Nichols.
Quarterly Journal of the Royal Meteorological Society (2004)
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