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  • LETF Book Cover
  • Numerical Methods for Conservation Laws
  • Computational Methods for Astrophysical Fluid Flow
  • Elements of Mathematical Ecology
  • Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems
  • Finite Difference Methods for Ordinary and Partial Differential Equations
Author/Title Research Type Related Fields
D. Rim, S. Moe, and R. J. LeVeque, Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations, SIAM/ASA Journal on Uncertainty Quantification 6(2018), pp. 118-150. doi:10.1137/17M1113679 Publications, Articles Applied Mathematics, Computational Methods, Numerical Analysis, Reduced-Order Models, Scientific Computing
Hong Qian. (2017) Mathematical Kinetic Models: Applications in Biophysics and Biochemistry. Peking University Press.  Publications, Books Biochemistry, Biophysics
Barker, Blake, Rose Nguyen, Bjorn Sandstede, Nathaniel Ventura, and Colin Wahl. "Computing Evans functions numerically via boundary-value problems." Physica D: Nonlinear Phenomena. Accepted Dec 2017. Publications, Articles Computational Methods, Dynamical Systems, Mathematical Methods, Nonlinear Waves and Coherent Structures, Partial Differential Equations
J. Nathan Kutz, Steven L. Brunton, Bingni W. Brunton, and Joshua Proctor (2016). Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems. SIAM. Publications, Books Dynamical Systems
Tim Leung and Marco Santoli (2016). Leveraged Exchange-Traded Funds: Price Dynamics and Options Valuation, Springer Briefs in Quantitative Finance, Springer, New York. Publications, Books Data Science, Financial Mathematics, Optimization and Variational Analysis, Probability, Statistics, Stochastic Modeling
Tim Leung and Xin Li.  (2016). Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications. (1st ed.) Singapore, World Scientific Publishing Company. Publications, Books Financial Mathematics, Optimization and Variational Analysis, Probability, Risk Management, Stochastic Modeling
Liu, Benjamin R., and Elizabeth M. Cherry. "Image-based structural modeling of the cardiac Purkinje network." BioMed research international 2015 (2015). Publications, Articles, Graduate, Graduate Publications Mathematical Biology, Mathematical Methods
Phillips, Austin and Kot, Mark. (2015). Persistence in a two-dimensional moving-habitat model. Bulletin of Mathematical Biology, 77, 2125-2159. Publications, Articles Climate Modeling, Mathematical Biology
Mark Kot. (2014) A First Course in the Calculus of Variations. American Mathematical Society.  Publications, Books Applied Mathematics
J. Nathan Kutz. (2013) Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data. Oxford University Press.  Publications, Books Data Science
Anne Greenbaum and Timothy P. Chartier. (2012) Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms. Princeton University Press. Publications, Books Computational Methods, Numerical Analysis
Hong Qian and Daniel Beard. (2008) Chemical Biophysics: Quantitative Analysis of Cellular Systems. Cambridge University Press.  Publications, Books Biophysics
Ka-Kit Tung. (2007) Topics in Mathematical Modeling. Princeton University Press Publications, Books Applied Mathematics
Randall LeVeque. (2007) Finite Difference Methods for Ordinary and Partial Differential Equations. SIAM. Publications, Books Applied Mathematics, Mathematical Methods, Partial Differential Equations
Randall LeVeque. (2002) Finite Volume Methods for Hyperbolic Problems. Cambridge University Press. Publications, Books Applied Mathematics, Mathematical Methods
Mark Kot. (2001) Elements of Mathematical Ecology. Cambridge University Press.  Publications, Books Applied Mathematics, Mathematical Ecology
Randall LeVeque, D. Mihalas, E. Dorfi, E. Mueller. (1998) Computational Methods for Astrophysical Fluid Flow. Springer-Verlag. Publications, Books Applied Mathematics, Computational Methods
Randall LeVeque. (1990) Numerical Methods for Conservation Laws. Birkhauser-Verlag Basel.  Publications, Books Applied Mathematics
Anne Greenbaum. (1987) Iterative Methods for Solving Linear Systems. SIAM. Publications, Books Applied Mathematics