D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 37 Citations 6,080 182 World Ranking 4491 National Ranking 291

Research.com Recognitions

Awards & Achievements

2014 - SIAM Fellow For contributions to the numerical analysis of systems, control, and data assimilation.

Overview

What is she best known for?

The fields of study she is best known for:

  • Statistics
  • Mathematical analysis
  • Algorithm

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.

Her most cited work include:

  • Robust pole assignment in linear state feedback (905 citations)
  • Are patterns of growth adaptive (138 citations)
  • Approximate Gauss-Newton Methods for Nonlinear Least Squares Problems (123 citations)

What are the main themes of her work throughout her whole career to date?

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.

She most often published in these fields:

  • Data assimilation (37.89%)
  • Control theory (24.67%)
  • Applied mathematics (21.59%)

What were the highlights of her more recent work (between 2014-2021)?

  • Data assimilation (37.89%)
  • Meteorology (14.10%)
  • Statistics (8.81%)

In recent papers she was focusing on the following fields of study:

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.

Between 2014 and 2021, her most popular works were:

  • On the representation error in data assimilation (101 citations)
  • Diagnosing Observation Error Correlations for Doppler Radar Radial Winds in the Met Office UKV Model Using Observation-Minus-Background and Observation-Minus-Analysis Statistics (56 citations)
  • Theoretical insight into diagnosing observation error correlations using observation-minus-background and observation-minus-analysis statistics (55 citations)

In her most recent research, the most cited papers focused on:

  • Statistics
  • Mathematical analysis
  • Geometry

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Robust pole assignment in linear state feedback

J Kautsky;Nancy Nichols;P M Van Dooren.
International Journal of Control (1985)

1334 Citations

Approximate Gauss-Newton Methods for Nonlinear Least Squares Problems

S. Gratton;A. S. Lawless;N. K. Nichols.
Siam Journal on Optimization (2007)

235 Citations

Are patterns of growth adaptive

R. Sibly;P. Calow;Nancy Nichols.
Journal of Theoretical Biology (1985)

210 Citations

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)

202 Citations

On the representation error in data assimilation

T. Janjic;N. Bormann;M. Bocquet;J. A. Carton.
Quarterly Journal of the Royal Meteorological Society (2018)

186 Citations

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)

165 Citations

Eigenstructure assignment in descriptor systems

L. Fletcher;J. Kautsky;N. Nichols.
IEEE Transactions on Automatic Control (1986)

164 Citations

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)

163 Citations

Unbiased ensemble square root filters

David M. Livings;Sarah L. Dance;Nancy K. Nichols.
Physica D: Nonlinear Phenomena (2007)

157 Citations

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)

150 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Nancy Nichols

Volker Mehrmann

Volker Mehrmann

Technical University of Berlin

Publications: 45

Guang-Ren Duan

Guang-Ren Duan

Harbin Institute of Technology

Publications: 24

Ron J. Patton

Ron J. Patton

University of Hull

Publications: 24

Mitchell D. Smooke

Mitchell D. Smooke

Yale University

Publications: 20

Matthew Martin

Matthew Martin

Met Office

Publications: 17

Guo-Ping Liu

Guo-Ping Liu

Southern University of Science and Technology

Publications: 17

James Lam

James Lam

University of Hong Kong

Publications: 16

Magdalena Balmaseda

Magdalena Balmaseda

European Centre for Medium-Range Weather Forecasts

Publications: 14

Stephen L. Campbell

Stephen L. Campbell

North Carolina State University

Publications: 13

Andrew M. Stuart

Andrew M. Stuart

California Institute of Technology

Publications: 12

Andrew M. Moore

Andrew M. Moore

University of California, Santa Cruz

Publications: 11

Keith Haines

Keith Haines

University of Reading

Publications: 10

Qingling Zhang

Qingling Zhang

Sun Yat-sen University

Publications: 10

Peter Benner

Peter Benner

Max Planck Institute for Dynamics of Complex Technical Systems

Publications: 9

Christopher A. Edwards

Christopher A. Edwards

University of California, Santa Cruz

Publications: 9

Gene H. Golub

Gene H. Golub

Stanford University

Publications: 9

Trending Scientists

Daniel Gatica-Perez

Daniel Gatica-Perez

Idiap Research Institute

Jost Tobias Springenberg

Jost Tobias Springenberg

University of Freiburg

Dongbin Xiu

Dongbin Xiu

The Ohio State University

Gary L. Gilliland

Gary L. Gilliland

National Institute of Standards and Technology

Michael North

Michael North

University of York

Roger Taylor

Roger Taylor

University of Brighton

John P. Geibel

John P. Geibel

Yale University

Christine A. Power

Christine A. Power

Merck Serono (Italy)

Renjie Chai

Renjie Chai

Southeast University

Ian T. Johnson

Ian T. Johnson

Norwich Research Park

Laurence Huang

Laurence Huang

University of California, San Francisco

Margaret M. Harnett

Margaret M. Harnett

University of Glasgow

Henk Nijman

Henk Nijman

Radboud University Nijmegen

Ellen Bouchard Ryan

Ellen Bouchard Ryan

McMaster University

Dae Seog Heo

Dae Seog Heo

Seoul National University Hospital

Catherine Rivier

Catherine Rivier

Salk Institute for Biological Studies

Something went wrong. Please try again later.