-
1
-
-
84985304745
-
Exact solutions to a finite difference model of a nonlinear reaction‐advection equation: Implications for numerical analysis
-
1 R. E. Mickens, Exact solutions to a finite difference model of a nonlinear reaction‐advection equation: Implications for numerical analysis, Numer Methods Partial Differential Eq 5 ( 1989), 313–325.
-
(1989)
Numer Methods Partial Differential Eq
, vol.5
, pp. 313-325
-
-
Mickens, R.E.1
-
2
-
-
0025599254
-
Finite difference models of ordinary differential equations: Influence of denominator models
-
2 R. E. Mickens and A. Smith, Finite difference models of ordinary differential equations: Influence of denominator models, J Franklin Institute 327 ( 1990), 143–145.
-
(1990)
J Franklin Institute
, vol.327
, pp. 143-145
-
-
Mickens, R.E.1
Smith, A.2
-
3
-
-
0003644445
-
Nonstandard finite difference models of differential equations
-
3 R. E. Mickens, Nonstandard finite difference models of differential equations, World Scientific, Singapore, 1994.
-
(1994)
-
-
Mickens, R.E.1
-
4
-
-
0000739387
-
Nonstandard finite difference schemes for reaction‐diffusion equations
-
4 R. E. Mickens, Nonstandard finite difference schemes for reaction‐diffusion equations, Numer Methods Partial Differential Eq 15 ( 1999), 201–214.
-
(1999)
Numer Methods Partial Differential Eq
, vol.15
, pp. 201-214
-
-
Mickens, R.E.1
-
5
-
-
0003763818
-
Applications of nonstandard finite difference schemes
-
5 R. E. Mickens, editor, Applications of nonstandard finite difference schemes, World Scientific, Singapore, 2000.
-
(2000)
-
-
-
6
-
-
85120588460
-
Advances in the application of nonstandard finite difference schemes
-
6 R. E. Mickens, editor, Advances in the application of nonstandard finite difference schemes, World Scientific, Singapore, 2005.
-
(2005)
-
-
-
7
-
-
24144435933
-
On the use of nonstandard finite difference methods
-
7 K. C. Patidar, On the use of nonstandard finite difference methods, J Differ Eq Appl 11 ( 2005), 735–758.
-
(2005)
J Differ Eq Appl
, vol.11
, pp. 735-758
-
-
Patidar, K.C.1
-
8
-
-
0003475470
-
Mathematical biology
-
8 J. D. Murray, Mathematical biology, Springer, Berlin, 1993.
-
(1993)
-
-
Murray, J.D.1
-
9
-
-
24144496812
-
Dynamic consistency: a fundamental principle for constructing NSFD schemes for differential equations
-
9 R. E. Mickens, Dynamic consistency: a fundamental principle for constructing NSFD schemes for differential equations, J Differ Eq Appl 11 ( 2005), 645–653.
-
(2005)
J Differ Eq Appl
, vol.11
, pp. 645-653
-
-
Mickens, R.E.1
-
10
-
-
85120592512
-
Private communication from Timothy Reluga
-
10 Private communication from Timothy Reluga, Yale University, New Haven, CT, 2005.
-
(2005)
-
-
-
11
-
-
0031189983
-
Numerical crisis found in the fixed step integration of a photoconductor model
-
11 A. Serfaty de Markus, Numerical crisis found in the fixed step integration of a photoconductor model, Phys Rev E56 ( 1997), 88–93.
-
(1997)
Phys Rev
, vol.E56
, pp. 88-93
-
-
Serfaty de Markus, A.1
-
12
-
-
0032691079
-
Suppression of numerically induced chaos with nonstandard finite difference schemes
-
12 A. Serfaty de Markus and R. E. Mickens, Suppression of numerically induced chaos with nonstandard finite difference schemes, J Comput Appl Math 106 ( 1999), 317–324.
-
(1999)
J Comput Appl Math
, vol.106
, pp. 317-324
-
-
Serfaty de Markus, A.1
Mickens, R.E.2
-
13
-
-
0003956985
-
Nonlinear partial differential equations
-
13 L. Debnath, Nonlinear partial differential equations, Birkhäuser, Boston, 1997.
-
(1997)
-
-
Debnath, L.1
-
14
-
-
0026136722
-
Analysis of a new finite‐difference scheme for the linear advection‐diffusion equation
-
14 R. E. Mickens, Analysis of a new finite‐difference scheme for the linear advection‐diffusion equation, J Sound Vibration 146 ( 1991), 342–344.
-
(1991)
J Sound Vibration
, vol.146
, pp. 342-344
-
-
Mickens, R.E.1
-
15
-
-
0004131280
-
Finite‐difference equations and simulations
-
15 F. B. Hildebrand, Finite‐difference equations and simulations, Prentice‐Hall, Englewood Cliffs, NJ, 1968.
-
(1968)
-
-
Hildebrand, F.B.1
-
16
-
-
85093102251
-
Influence of spatial discretizations on nonstandard finite difference schemes for nonlinear PDE's
-
16 R. E. Mickens, Influence of spatial discretizations on nonstandard finite difference schemes for nonlinear PDE's, Int J Appl Sci Comput 6 ( 1999), 89–95.
-
(1999)
Int J Appl Sci Comput
, vol.6
, pp. 89-95
-
-
Mickens, R.E.1
-
17
-
-
0004046327
-
Difference equations: theory and applications
-
17 R. E. Mickens, Difference equations: theory and applications, Chapman and Hall, New York, 1990.
-
(1990)
-
-
Mickens, R.E.1
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