Publications
In Mathematical Physics: Finite Difference Equations /
En Physique mathématique: Équations aux différences finies
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A.F. Antippa (2011), "Finite Difference
Approach To Trigonometry" Journal of Difference Equations and Applications vol. 17, no. 9, pp. 1365-1400.
(Reference JDEA)
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A.F. Antippa and D. M. Dubois, "Time-Symmetric Discretization of The
Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference
Proceedings
AIP CP 1303 pp. 121 - 125 (2010).
(Reference AIP)
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A.F. Antippa and D. M. Dubois, "Discrete Harmonic Oscillator:
A Short Compendium of Formulas", in
Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference
Proceedings
AIP CP 1303 pp. 111 - 120 (2010).
(Reference AIP)
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A.F. Antippa and D. M. Dubois, "Discrete Harmonic Oscillator:
Evolution of Notation and Cumulative Erratum", in
Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference
Proceedings
AIP CP 1303 pp. 126 - 130 (2010).
(Reference AIP)
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A.F. Antippa and D. M. Dubois, "Synchronous Discrete Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'07 - Eighth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings AIP CP 1051 pp. 82 - 99 (2008).
(Reference AIP)
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A.F. Antippa and D. M. Dubois, "Hyperincursive Discrete Harmonic Oscillator",
Journal of Mathematical Physics
vol. 49,
no. 3, 032701 (6 pages) (2008).
(Abstract)
(Reference JMP)
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A.F. Antippa, "Recursive Formulation
of the Relativistic Law of Superposition of Multiple Collinear
Velocities" Journal of Difference Equations and
Applications, vol. 13, no. 7, pp. 563-575, (2007).
(Abstract)
(Reference JDEA)
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A.F. Antippa and D. M. Dubois, "Incursive Discretization, System Bifurcation, and Energy Conservation",
Journal of Mathematical Physics
vol. 48,
no. 1, 012701 (9 pages) (2007).
(Abstract)
(Reference JMP)
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A.F. Antippa and D. M. Dubois, "The Superposed Hyperincursive System of the Discrete Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings, AIP CP 839, pp. 65-126 (2006).
(Abstract) (Reference AIP)
(Order CASYS)
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A.F. Antippa and D. M. Dubois, "The Dual Incursive System of the Discrete Harmonic Oscillator", in
Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings, AIP CP 839, pp. 11-64 (2006).
(Abstract) (Reference AIP)
(Order CASYS)
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A.F. Antippa and D. M. Dubois, "Anticipation, Orbital Stability, and
Energy Conservation in Discrete
Harmonic Oscillators" in
Computing
Anticipatory Systems : CASYS'03 - Sixth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings, AIP CP 718, pp. 3 - 44 (2004).
(Abstract)
(Reference AIP)
(Order CASYS)
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A.F. Antippa, "Analytic
Evaluation of Factorial Polynomials For 2x2 Nonautonomous
Matrices" Journal of Difference Equations and
Applications, vol. 10, no. 4 , pp. 437-446 (2004).
(Abstract)
(Reference JDEA)
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A.F. Antippa and D. M. Dubois, "The Harmonic Oscillator via
The Discrete Path Approach", International Journal of Computing Anticipatory
Systems, vol. 11, pp. 141-153 (2002).
(Abstract)
(Order IJCAS)
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A.F. Antippa, "Exact Closed Form
Solution For Two Coupled Inhomogeneous First Order Difference Equations
With Variable Coefficients", Journal of Difference Equations and Applications,
vol. 8, no. 3, pp. 255-276 (2002).
(Abstract)
(Reference JDEA)
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A.F. Antippa and N.K. Toan,
"Topological Solution of Ordinary
and Partial Finite Difference Equations",
Journal of Mathematical
Physics, vol. 21, no. 10, pp. 2475-2480 (1980).
(Abstract) (Reference JMP)
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A.F. Antippa and N.K. Toan,
"Topological Solution for Systems of
Simultaneous Linear Equations",
Journal of Mathematical
Physics, vol. 20, no. 12, pp. 2375-2379 (1979).
(Abstract) (Reference JMP)
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A.F. Antippa, "Discrete Path
Approach to Linear Recursion Relations",
Journal of Mathematical
Physics, vol. 18, no. 11, pp. 2214-2222 (1977).
(Abstract)
(Reference JMP)
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A.F. Antippa and A.J. Phares,
"General Formalism Solving Linear Recursion
Relations",
Journal of Mathematical
Physics, vol. 18, no. 1, pp. 173-181 (1977).
(Abstract) (Reference JMP)