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Table representation of search results timeline featuring number of search results per year.

Year Number of Results
1903 1
1964 1
1965 2
1966 2
1967 1
1968 2
1969 3
1970 5
1971 3
1972 9
1973 4
1974 6
1975 14
1976 11
1977 12
1978 23
1979 29
1980 19
1981 24
1982 10
1983 24
1984 28
1985 19
1986 42
1987 38
1988 49
1989 56
1990 69
1991 88
1992 87
1993 97
1994 112
1995 94
1996 126
1997 156
1998 137
1999 199
2000 291
2001 290
2002 316
2003 343
2004 430
2005 508
2006 529
2007 595
2008 579
2009 602
2010 667
2011 778
2012 756
2013 818
2014 852
2015 871
2016 921
2017 837
2018 939
2019 985
2020 1007
2021 908
2022 880
2023 848
2024 320

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16,932 results

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Page 1
Existence of solutions and numerical approximation of a non-local tumor growth model.
Maddalena L, Ragni S. Maddalena L, et al. Math Med Biol. 2020 Feb 28;37(1):58-82. doi: 10.1093/imammb/dqz005. Math Med Biol. 2020. PMID: 30933283
We provide an existence and uniqueness result by exploiting a suitable iterative scheme of functions which converge to the solution of the system. Then, we discretize the model and perform some numerical simulations. Numerical approximations are obtained by a …
We provide an existence and uniqueness result by exploiting a suitable iterative scheme of functions which converge to the solution of the s …
Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions.
Boehm U, Cox S, Gantner G, Stevenson R. Boehm U, et al. BIT Numer Math. 2022;62(4):1355-1382. doi: 10.1007/s10543-022-00914-2. Epub 2022 Apr 4. BIT Numer Math. 2022. PMID: 36415672 Free PMC article.
However, the prescribed boundary conditions lead to a strong singularity and thus to slow convergence of numerical approximations. In this article we demonstrate that the solution can be related to the solution of a parabolic PDE on a rectangular space-time domain w …
However, the prescribed boundary conditions lead to a strong singularity and thus to slow convergence of numerical approximations …
Fractional Approximation of Broad Learning System.
Wu S, Wang J, Sun H, Zhang K, Pal NR. Wu S, et al. IEEE Trans Cybern. 2024 Feb;54(2):811-824. doi: 10.1109/TCYB.2021.3127152. Epub 2024 Jan 17. IEEE Trans Cybern. 2024. PMID: 35622792
Approximation ability is of much importance for neural networks. The broad learning system (BLS) (Chen and Liu, 2018), widely used in the industry with good performance, has been proved to be a universal approximator from the aspect of density. ...As a result, two t …
Approximation ability is of much importance for neural networks. The broad learning system (BLS) (Chen and Liu, 2018), widely used in …
A Deterministic Approximation to Neural SDEs.
Look A, Kandemir M, Rakitsch B, Peters J. Look A, et al. IEEE Trans Pattern Anal Mach Intell. 2023 Apr;45(4):4023-4037. doi: 10.1109/TPAMI.2022.3202237. Epub 2023 Mar 7. IEEE Trans Pattern Anal Mach Intell. 2023. PMID: 36037461
As a remedy, we develop a computationally affordable deterministic scheme which accurately approximates the transition kernel, when dynamics is governed by a NSDE. Our method introduces a bidimensional moment matching algorithm: vertical along the neural net layers and hor …
As a remedy, we develop a computationally affordable deterministic scheme which accurately approximates the transition kernel, when d …
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations.
Cassidy T, Gillich P, Humphries AR, van Dorp CH. Cassidy T, et al. IMA J Appl Math. 2022 Dec 13;87(6):1043-1089. doi: 10.1093/imamat/hxac027. eCollection 2022 Dec. IMA J Appl Math. 2022. PMID: 36691452 Free PMC article.
In this work, we address the lack of appropriate numerical tools for gamma distributed DDEs in two ways. First, we develop a functional continuous Runge-Kutta (FCRK) method to numerically integrate the gamma distributed DDE without resorting to Erlang approximati …
In this work, we address the lack of appropriate numerical tools for gamma distributed DDEs in two ways. First, we develop a function …
Block-pulse integrodifference equations.
Gilbertson NM, Kot M. Gilbertson NM, et al. J Math Biol. 2023 Sep 13;87(4):57. doi: 10.1007/s00285-023-01986-6. J Math Biol. 2023. PMID: 37702828 Free PMC article.
We then use three-, five-, and ten-step block-pulse IDEs, with a numerical root finder, to approximate models with compensatory Beverton-Holt growth and depensatory, or Allee-effect, growth. Our method provides a good approximation for the equilibrium distrib …
We then use three-, five-, and ten-step block-pulse IDEs, with a numerical root finder, to approximate models with compensator …
Harvesting and seeding of stochastic populations: analysis and numerical approximation.
Hening A, Tran KQ. Hening A, et al. J Math Biol. 2020 Jul;81(1):65-112. doi: 10.1007/s00285-020-01502-0. Epub 2020 May 15. J Math Biol. 2020. PMID: 32415374
In order to gain information regarding the qualitative behavior of the system we develop rigorous numerical approximation methods. This is done by approximating the continuous time dynamics by Markov chains and then showing that the approximations conv …
In order to gain information regarding the qualitative behavior of the system we develop rigorous numerical approximation meth …
A general approximation to quantiles.
Yu C, Zelterman D. Yu C, et al. Commun Stat Theory Methods. 2017;46(19):9834-9841. doi: 10.1080/03610926.2016.1222433. Epub 2017 Jul 10. Commun Stat Theory Methods. 2017. PMID: 30393422 Free PMC article.
For many continuous distributions, a closed-form expression for their quantiles does not exist. Numerical approximations for their quantiles are developed on a distribution-by-distribution basis. ...The approximation works well for these distributions....
For many continuous distributions, a closed-form expression for their quantiles does not exist. Numerical approximations for t …
Numerical approximation abilities correlate with and predict informal but not formal mathematics abilities.
Libertus ME, Feigenson L, Halberda J. Libertus ME, et al. J Exp Child Psychol. 2013 Dec;116(4):829-38. doi: 10.1016/j.jecp.2013.08.003. Epub 2013 Sep 25. J Exp Child Psychol. 2013. PMID: 24076381 Free PMC article.
In the current study, we assessed the precision of numerical approximation in 85 3- to 7-year-old children four times over a span of 2years. In addition, at the final time point, we tested children's informal and formal mathematics abilities using the Test of Early …
In the current study, we assessed the precision of numerical approximation in 85 3- to 7-year-old children four times over a s …
Euclidean Distance Approximations From Replacement Product Graphs.
Terlep TA, Bell MR, Talavage TM, Smith DL. Terlep TA, et al. IEEE Trans Image Process. 2022;31:125-137. doi: 10.1109/TIP.2021.3128319. Epub 2021 Nov 30. IEEE Trans Image Process. 2022. PMID: 34807824
We introduce a new chamfering paradigm, locally connecting pixels to produce path distances that approximate Euclidean space by building a small network (a replacement product) inside each pixel. These " RE -grid graphs" maintain near-Euclidean polygonal distance contours …
We introduce a new chamfering paradigm, locally connecting pixels to produce path distances that approximate Euclidean space by build …
16,932 results
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