Research

Materials

Energy

Medicines

Our goal is to develop mathematical tools to quantify uncertainty in nature, engineering systems and our society, and thus provide more accurate and comprehensive predictions of these system states. Applications of our work include environmental protection (flood prediction), ecology (algae blooms), oil recovery and renewable energy systems.

Resources

  • Journal Papers
  • Books
  • Codes
  • Videos

2019

Introduction to Uncertainty Quantification  pdf
* P. Wang and D. Xiu (2018)
China Science Publishing & Media, 2019 (in Chinese),ISBN:9787030594723


2020

irradpy python
IrradPy Python Package for solar irradiance modelling.


2019

Bright-Sun CSD matlab
Bright-Sun: A globally applicable 1-min irradiance clear-sky detection model.


2019

ALKEMIE Matter Studio python
Commerialized, not available.


2020

irradpy: Python package for MERRA-2 download, extraction and usage for clear-sky irradiance modelling, Solar Energy, 2020, vol. 199, pp. 685-693.  pdf
* J. Bright*, X. Bai, Y. Zhang, X. Sun, B. Acord and P. Wang (2020)
Solar Energy, 2020, vol. 199, pp. 685-693
Keyword: clear-sky detection, solar irradiance, irradpy


2020

Bright-Sun: A globally applicable 1-min irradiance clear-sky detection model  pdf
J. Bright*, X. Sun, C. A. Gueymard, B. Acord, P. Wang* and N. A. Engerer (2020)
Renewable and Sustainable Energy Reviews, 2020, vol. 121
Keyword: bright-sun, clear-sky detection, solar irradiance


2019

Quantification of predictive uncertainty in models of FtsZ ring assembly in Escherichia coli  pdf
Y. Ye, A. Ruiz-Martinez, P. Wang* and D. M. Tartakovsky*  (2019)
Journal of Theoretical Biology, vol. 484, pp. 110006
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2019

Data assimilation for models with parametric uncertainty  pdf
L. Yang, Y. Qin, A. Narayan and P. Wang*  (2019)
Journal of Computational Physics, 2019, vol. 396, pp. 785-798.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2019

Worldwide performance assessment of 75 global clear-sky irradiance models using Principal Component Analysis pdf
X. Sun, J. Bright*, C. A. Gueymard, B. Acord, P. Wang* and N. Engerer  (2019)
Renewable and Sustainable Energy Reviews, 2019, vol. 111, pp. 550-570.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2019

A new method for an old topic: Efficient and reliable estimation of material bulk modulus  pdf
P. Wang*, Y. Qin, M. Cheng, G. Wang, D. Xiu and Z. Sun*  (2019)
Computational Materials Science, 2019, vol. 165, pp. 7-12.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2019

An Efficient Solver for Cumulative Density Function-based Solutions of Uncertain Kinematic Wave Models pdf
M. Cheng#, A. Narayan#, Y. Qin#, P. Wang#*, X. Zhong# and X. Zhu#   (2019)
Journal of Computational Physics, 2019, vol. 382, pp.138-151
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2018

Uncertainty quantification on macroscopic properties of random porous media pdf
P. Wang, H. Chen, X. Meng, X. Jiang, D. Xiu and X. Yang*  (2018)
Physical Review E, 2018, vol. 98, no. 3, pp. 033306.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2018

X. Shi, B. Acord, P. Wang* pdf
Incorporating ground measured pollution observations to improve temporally downscaled solar irradiance simulations  (2018)
Solar Energy, 2018, vol. 171, 293-301.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2017

Sequential data assimilation with multiple nonlinear models and applications to subsurface flow pdf
L. Yang, A. Narayan and P. Wang*  (2017)
Journal of Computational Physics, 2017, vol. 346, pp. 356-368.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2016

Software reliability growth model with temporal correlation in a network environment  pdf
J. Xu, S. Yao, S. Yang and P. Wang*  (2016)
International Journal for Uncertainty Quantification, 2016, vol. 6, no. 2, pp.141-156.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2016

Uncertainty quantification of scientific proposal evaluations pdf
X. Shi, P. Wang and D. Xiu  (2016)
International Journal for Uncertainty Quantification, 2016, vol. 6, no. 2, pp.167-173.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2015

Probabilistic density function method for stochastic ODEs of power systems with uncertain power input pdf
P. Wang, D. A. Barajas-Solano, E. Constantinescu, S. Abhyankar, D. Ghosh, B. F. Smith, Z. Huang and A. M. Tartakovsky*   (2015)
SIAM/ASA Journal on Uncertainty Quantification, 2015, vol. 3, no. 1, pp. 873-896.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2013

PDF method for dynamic system with colored noise  pdf
P. Wang*, A. M. Tartakovsky and D. M. Tartakovsky  (2013)
Physical Review Letters, 2013, vol. 110, no. 14, pp. 140602.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2013

CDF solutions of Buckley-Leverett equation with uncertain parameters pdf
P. Wang, D. M. Tartakovsky, K. Jarman Jr. and A. M. Tartakovsky*  (2013)
SIAM Journal of multiscale modeling and simulation, 2013, vol. 11, no. 1, pp. 118-133.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2012

Uncertainty quantification in kinematic-wave models pdf
P. Wang and D. M. Tartakovsky*  (2012)
Journal of Computational Physics, 2012, vol. 231, no. 23, pp. 7868-7880.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2011

Reduced complexity models for probabilistic forecasting of infiltration rate pdf
P. Wang and D. M. Tartakovsky*  (2011)
Advances in Water Resources, 2011, vol. 34, pp. 375-382.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2011

Probabilistic predictions of infiltration into heterogeneous media with uncertain hydraulic parameters  pdf
P. Wang and D. M. Tartakovsky*  (2011)
Internal Journal for Uncertainty Quantification, 2011, vol. 1, no. 1, pp. 35-47.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


2009

Effects of spatio-temporal variability of precipitation on contaminant migration in the vadose zone pdf
P. Wang, P. Quinlan and D. M. Tartakovsky*  (2009)
Geophysical Research Letters, 2009, vol. 36, L12404.
Keyword: uncertainty quantification, model uncertainty, Kalman filter, particle filter, subsurface


Team

  • Graduates
  • Undergraduates
  • Alumni

P R I M E

京ICP备16051633号-1