-
1
-
-
0004128504
-
-
second edition, Brooks/Cole, Pacific Grove
-
Kinkaid D., Cheney W., Numerical Analysis, second edition, Brooks/Cole, Pacific Grove, 1996.
-
(1996)
Numerical Analysis
-
-
Kinkaid, D.1
Cheney, W.2
-
4
-
-
0036744729
-
Nonstandard finite difference schemes for differential equations
-
Mickens, R.E., Nonstandard finite difference schemes for differential equations, J. Differ. Equations Appl. 8:9, (2002) 823-847.
-
(2002)
J. Differ. Equations Appl
, vol.8
, Issue.9
, pp. 823-847
-
-
Mickens, R.E.1
-
5
-
-
0035449292
-
Contributions to the mathematics of the nonstandard finite difference method and applications
-
Anguelov R., Lubuma J.M.-S., Contributions to the mathematics of the nonstandard finite difference method and applications, Numer. Methods Partial Diff. Equations, 17:5 (2001) 518-543.
-
(2001)
Numer. Methods Partial Diff. Equations
, vol.17
, Issue.5
, pp. 518-543
-
-
Anguelov, R.1
Lubuma, J.M.-S.2
-
6
-
-
0141457690
-
An improved theta-method for systems of ordinary differential equations
-
Lubuma, J.M.-S. and Roux A., An improved theta-method for systems of ordinary differential equations, J. Differ. Equations Appl. 9:11, (2003) 1023-1035.
-
(2003)
J. Differ. Equations Appl
, vol.9
, Issue.11
, pp. 1023-1035
-
-
Lubuma, J.M.-S.1
Roux, A.2
-
7
-
-
18144420842
-
Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems
-
press
-
Dimitrov D.T., Kojouharov H.V., Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems, Appl. Math. Lett., (2005) in press.
-
(2005)
Appl. Math. Lett
-
-
Dimitrov, D.T.1
Kojouharov, H.V.2
-
8
-
-
0037472545
-
Nonstandard finite difference method by nonlocal approximation
-
Anguelov R., Lubuma J.M.-S., Nonstandard finite difference method by nonlocal approximation, Math. Comput. Simulation 61:3-6, (2003) 465-475.
-
(2003)
Math. Comput. Simulation
, vol.61
, Issue.3-6
, pp. 465-475
-
-
Anguelov, R.1
Lubuma, J.M.-S.2
-
9
-
-
22344440721
-
A non-standard finite-difference scheme for a model of HIV transmission and control
-
Gumel A.B., Mickens R.E., Corbett B.D., A non-standard finite-difference scheme for a model of HIV transmission and control, J. Comput. Meth. Sci. Engin. 3:1, (2003) 91-98.
-
(2003)
J. Comput. Meth. Sci. Engin
, vol.3
, Issue.1
, pp. 91-98
-
-
Gumel, A.B.1
Mickens, R.E.2
Corbett, B.D.3
-
10
-
-
0032691079
-
Suppression of numerically induced chaos with nonstandard finite difference schemes
-
de Markus A.S., Mickens R.E., Suppression of numerically induced chaos with nonstandard finite difference schemes, J. Comput. Appl. Math. 106:2, (1999) 317-324.
-
(1999)
J. Comput. Appl. Math
, vol.106
, Issue.2
, pp. 317-324
-
-
de Markus, A.S.1
Mickens, R.E.2
-
11
-
-
0041736718
-
An unconditionally convergent finite-difference scheme for the SIR model
-
Piyawong W., Twizell E.H., Gumel A.B., An unconditionally convergent finite-difference scheme for the SIR model, Appl. Math. Comput. 146, (2003) 611-625.
-
(2003)
Appl. Math. Comput
, vol.146
, pp. 611-625
-
-
Piyawong, W.1
Twizell, E.H.2
Gumel, A.B.3
-
12
-
-
0036133051
-
An unconditionally convergent discretization of the SEIR model
-
Jansen H. and Twizell E.H., An unconditionally convergent discretization of the SEIR model, Math. Comput. Simulation 58, (2002) 147-158.
-
(2002)
Math. Comput. Simulation
, vol.58
, pp. 147-158
-
-
Jansen, H.1
Twizell, E.H.2
-
13
-
-
11044227566
-
On non-standard finite difference models of reaction-diffusion equations
-
Anguelov R., Kama P., Lubuma J.M.-S., On non-standard finite difference models of reaction-diffusion equations, J. Comput. Appl. Math. 175:1, (2005) 11-29.
-
(2005)
J. Comput. Appl. Math
, vol.175
, Issue.1
, pp. 11-29
-
-
Anguelov, R.1
Kama, P.2
Lubuma, J.M.-S.3
-
14
-
-
0008515570
-
Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation
-
Mickens, R.E., Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation, Numer. Methods Partial Differential Equations 13:1, (1997) 51-55.
-
(1997)
Numer. Methods Partial Differential Equations
, vol.13
, Issue.1
, pp. 51-55
-
-
Mickens, R.E.1
-
15
-
-
0012741562
-
Nonstandard Eulerian-Lagrangian Methods for Advection-Diffusion-Reaction Equations
-
(R.E. Mickens, Editor), World Scientific Publishing, River Edge, NJ
-
Kojouharov H.V., Chen B.M., Nonstandard Eulerian-Lagrangian Methods for Advection-Diffusion-Reaction Equations, Applications of Nonstandard Finite Difference Schemes, (R.E. Mickens, Editor) (World Scientific Publishing, River Edge, NJ, 2000), 55-108.
-
(2000)
Applications of Nonstandard Finite Difference Schemes
, pp. 55-108
-
-
Kojouharov, H.V.1
Chen, B.M.2
-
16
-
-
84967549157
-
Combined Nonstandard Numerical Methods for ODEs with Polynomial Right-Hand Sides
-
press
-
Chen-Charpentier, B.M., Dimitrov, D.T., Kojouharov, H.V., Combined Nonstandard Numerical Methods for ODEs with Polynomial Right-Hand Sides, Applied Numerical Mathematics, (2005) in press.
-
(2005)
Applied Numerical Mathematics
-
-
Chen-Charpentier, B.M.1
Dimitrov, D.T.2
Kojouharov, H.V.3
-
20
-
-
0022856174
-
The interaction of physical and biological process in a model of the vertical distribution of phytoplankton under stratification
-
editor
-
Taylor A.H., Harris J.R.W. and Aiken J., The interaction of physical and biological process in a model of the vertical distribution of phytoplankton under stratification, Mar. Int. Ecohyrd., Jacques C. Nihoul (editor) 42, (1986) 313-330.
-
(1986)
Mar. Int. Ecohyrd., Jacques C.Nihoul
, vol.42
, pp. 313-330
-
-
Taylor, A.H.1
Harris, J.R.W.2
Aiken, J.3
-
21
-
-
0002366911
-
The functional response of predators to prey density and its role in mimicry and population regulation
-
Holling C.S., The functional response of predators to prey density and its role in mimicry and population regulation, Mem. Entomol. Soc. Canada 45, (1965) 1-60.
-
(1965)
Mem. Entomol. Soc. Canada
, vol.45
, pp. 1-60
-
-
Holling, C.S.1
-
22
-
-
23744457175
-
Analysis and numerical simulation of phytoplankton-nutrient systems with nutrient loss
-
accepted
-
Dimitrov D.T., Kojouharov H.V., Analysis and numerical simulation of phytoplankton-nutrient systems with nutrient loss, Math. Comput. Simulation, (2005) accepted.
-
(2005)
Math. Comput. Simulation
-
-
Dimitrov, D.T.1
Kojouharov, H.V.2
-
24
-
-
0005540029
-
-
Birkhauser, Boston
-
Yeargers E.K., Shonkwiler R.W., Herod J.V., An Introduction to the Mathematics of Biology: Computer Algebra Models, Birkhauser, Boston, 1996.
-
(1996)
An Introduction to the Mathematics of Biology: Computer Algebra Models
-
-
Yeargers, E.K.1
Shonkwiler, R.W.2
Herod, J.V.3
-
25
-
-
10444225454
-
Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response
-
Dimitrov D.T., Kojouharov H.V., Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response, Appl. Math. Comput., 162:2, (2005) 523-538.
-
(2005)
Appl. Math. Comput
, vol.162
, Issue.2
, pp. 523-538
-
-
Dimitrov, D.T.1
Kojouharov, H.V.2
-
26
-
-
0343238366
-
A simple vaccination model with multiple endemic states
-
Kribs-Zaleta C.M. and Velasco-Hernandez J.X., A simple vaccination model with multiple endemic states, Math. Biosci. 164, (2000) 183-201.
-
(2000)
Math. Biosci
, vol.164
, pp. 183-201
-
-
Kribs-Zaleta, C.M.1
Velasco-Hernandez, J.X.2
-
27
-
-
0041361873
-
A high-order conservative Patankar-type discretization for stiff systems of production-destruction equations
-
Burchard H., Deleersnijder E., Meister A., A high-order conservative Patankar-type discretization for stiff systems of production-destruction equations, Appl. Numer. Math. 47:1, (2003) 1-30.
-
(2003)
Appl. Numer. Math
, vol.47
, Issue.1
, pp. 1-30
-
-
Burchard, H.1
Deleersnijder, E.2
Meister, A.3
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