The Nature of Mathematical Modeling
By W. R. Howard. 2006
333 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Theoretical Computer Science
View Paper: https://www.semanticscholar.org/paper/a1daaebda73c8bb3a0b6673745aef4a479a37aaf
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Ray Hilborn
- Derek Abbott
- Antonio Torralba
- Jürgen Kurths
- John J. McPhee
- Jens Timmer
- Mark D. McDonnell
- Thompson Hobbs
In Management Science and Operations Research
- Ray Hilborn
- Derek Abbott
- Antonio Torralba
- Jürgen Kurths
- Jens Timmer
- Mark D. McDonnell
- Thompson Hobbs
- Henning U. Voss
In Theoretical Computer Science
- Ray Hilborn
- Derek Abbott
- Antonio Torralba
- Jürgen Kurths
- Jens Timmer
- Mark D. McDonnell
- Thompson Hobbs
- Henning U. Voss
Citations in the corpus
- Parameter identification in dynamic systems using the homotopy optimization approach (2011, background): “The problem of identifying the parameters in a mathematical model governed by ordinary differential equations (ODEs), given a set of experimental measurements, is encountered in many fields of physics, chemistry, biology, and engineering [8].”
- Nonlinear Dynamical System Identification from Uncertain and Indirect Measurements (2004, methodology): “…for the optimal functioning of the KF. Tutorials and textbooks about Kalman filtering , including applications, are [Jazwinski, 1970; Gelb, 1974 ; Bar-Shalom & Fortmann, 1988; Aoki, 1990; Hamilton, 1994; Mendel, 1995; Gershenfeld, 1999; Grewal & Andrews, 2001; Honerkamp, 2002; Walker, 2002].”
- Alternatives to statistical hypothesis testing in ecology: a guide to self teaching. (2006, background): “A discussion of how to formulate models is beyond the scope of this paper, but there are many excellent texts providing a general introduction to ecological modeling (e.g., Edelstein-Keshet 1988, Haefner 1996, Hastings 1997, Gurney and Nisbet 1998, Gershenfeild 1999, Taubes 2001).”
- Contextual Priming for Object Detection (2003, methodology): “The EM algorithm is now (see Gershnfeld, 1999 for a description of the learning equations): • E-step: Computes the posterior probabilities of the clusters h i (t) given the observed data v t and x t .”
- Stochastic Simulation of Patterns Using Distance-Based Pattern Modeling (2010, background): “This is a version of Occam’s Razor, that the simplest model that explains data is the one to be preferred (in terms of both the form of the model, and the values of the parameters) (Gershenfeld, 1999).”
- What Is Stochastic Resonance? Definitions, Misconceptions, Debates, and Its Relevance to Biology (2009, background): “Examples include: a) Brownian ratchets [74]—mechanical applications of this idea include self-winding (batteryless) wristwatches [75]; b) dithering in signal processing and analog-todigital conversion [76–78]; c) coherence resonance [79,80]; d) Parrondo’s games—the random combination of losing games”