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Andrew J Majda

Explore the profile of Andrew J Majda including associated specialties, affiliations and a list of published articles. Areas
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Articles 41
Citations 203
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Recent Articles
1.
Majda A, Chen N
Entropy (Basel) . 2020 Dec; 20(9). PMID: 33265733
Complex multiscale systems are ubiquitous in many areas. This research expository article discusses the development and applications of a recent information-theoretic framework as well as novel reduced-order nonlinear modeling strategies...
2.
Chen N, Majda A
Entropy (Basel) . 2020 Dec; 20(7). PMID: 33265599
A conditional Gaussian framework for understanding and predicting complex multiscale nonlinear stochastic systems is developed. Despite the conditional Gaussianity, such systems are nevertheless highly nonlinear and are able to capture...
3.
Chen N, Majda A
Chaos . 2020 Apr; 30(3):033101. PMID: 32237755
Extreme events appear in many complex nonlinear dynamical systems. Predicting extreme events has important scientific significance and large societal impacts. In this paper, a new mathematical framework of building suitable...
4.
Qi D, Majda A
Proc Natl Acad Sci U S A . 2019 Dec; 117(1):52-59. PMID: 31871152
Extreme events and the related anomalous statistics are ubiquitously observed in many natural systems, and the development of efficient methods to understand and accurately predict such representative features remains a...
5.
Majda A, Qi D
Chaos . 2019 Nov; 29(10):103131. PMID: 31675803
Statistical response theory provides an effective tool for the analysis and statistical prediction of high-dimensional complex turbulent systems involving a large number of unresolved unstable modes, for example, in climate...
6.
Majda A, Moore M, Qi D
Proc Natl Acad Sci U S A . 2019 Feb; 116(10):3982-3987. PMID: 30760588
Understanding and predicting extreme events and their anomalous statistics in complex nonlinear systems are a grand challenge in climate, material, and neuroscience as well as for engineering design. Recent laboratory...
7.
Chen N, Majda A
Proc Natl Acad Sci U S A . 2017 Nov; 114(49):12864-12869. PMID: 29158403
Solving the Fokker-Planck equation for high-dimensional complex dynamical systems is an important issue. Recently, the authors developed efficient statistically accurate algorithms for solving the Fokker-Planck equations associated with high-dimensional nonlinear...
8.
Majda A, Qi D
Proc Natl Acad Sci U S A . 2017 May; 114(22):5571-5576. PMID: 28507125
Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among complex systems in science and engineering, including climate, material, and neural...
9.
Chen N, Majda A
Proc Natl Acad Sci U S A . 2017 Feb; 114(7):1468-1473. PMID: 28137886
The El Niño Southern Oscillation (ENSO) has significant impact on global climate and seasonal prediction. A simple modeling framework is developed here that automatically captures the statistical diversity of ENSO....
10.
Lee Y, Majda A
Proc Natl Acad Sci U S A . 2016 Dec; 113(51):14609-14614. PMID: 27930332
Particle filtering is an essential tool to improve uncertain model predictions by incorporating noisy observational data from complex systems including non-Gaussian features. A class of particle filters, clustered particle filters,...