Probabilistic evolution approach to ODEs with Laurent series expandable descriptive functions

A probabilistic evolution approach trilogy, part 1: quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence

Journal of Mathematical Chemistry ◽

10.1007/s10910-012-0079-6 ◽

2012 ◽

Vol 51 (4) ◽

pp. 1170-1186 ◽

Cited By ~ 19

Author(s):

Metin Demiralp

Keyword(s):

Expectation Value ◽

Probabilistic Evolution ◽

Block Triangularity ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Fluctuation suppression to optimize initial data to increase the quality of truncation approximants in probabilistic evolution approach for ODEs: Basic philosophy

10.1063/1.4756582 ◽

2012 ◽

Cited By ~ 2

Author(s):

Ayla Okan ◽

N. A. Baykara ◽

Metin Demiralp

Keyword(s):

Initial Data ◽

Probabilistic Evolution ◽

Basic Philosophy ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices

Journal of Mathematical Chemistry ◽

10.1007/s10910-013-0299-4 ◽

2013 ◽

Vol 52 (3) ◽

pp. 881-898 ◽

Cited By ~ 16

Author(s):

Coşar Gözükırmızı ◽

Metin Demiralp

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Series Solution ◽

Space Extension ◽

Probabilistic Evolution ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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A probabilistic evolution approach trilogy, part 3: temporal variation of state variable expectation values from Liouville equation perspective

Journal of Mathematical Chemistry ◽

10.1007/s10910-012-0081-z ◽

2012 ◽

Vol 51 (4) ◽

pp. 1198-1210 ◽

Cited By ~ 17

Author(s):

Metin Demiralp ◽

Burcu Tunga

Keyword(s):

Temporal Variation ◽

Liouville Equation ◽

Expectation Values ◽

State Variable ◽

Probabilistic Evolution ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators, part I: integral representation of Kronecker power series and multivariate Hausdorff moment problems

Journal of Mathematical Chemistry ◽

10.1007/s10910-014-0371-8 ◽

2014 ◽

Vol 52 (8) ◽

pp. 2161-2182 ◽

Cited By ~ 5

Author(s):

Muzaffer Ayvaz ◽

Metin Demiralp

Keyword(s):

Power Series ◽

Integral Representation ◽

Quantum Mechanical ◽

Moment Problems ◽

Expectation Value ◽

Kronecker Power Series ◽

Probabilistic Evolution ◽

Expectation Value Dynamics ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators, part II: the use of mathematical fluctuation theory

Journal of Mathematical Chemistry ◽

10.1007/s10910-014-0381-6 ◽

2014 ◽

Vol 52 (8) ◽

pp. 2294-2315 ◽

Cited By ~ 5

Author(s):

Muzaffer Ayvaz ◽

Metin Demiralp

Keyword(s):

Fluctuation Theory ◽

Quantum Mechanical ◽

Expectation Value ◽

Probabilistic Evolution ◽

Expectation Value Dynamics ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Unidirectional semi-analytic continuation in the probabilistic evolution approach to Van der Pol equation

10.1063/1.4756583 ◽

2012 ◽

Author(s):

Fatih Hunutlu ◽

N. A. Baykara

Keyword(s):

Analytic Continuation ◽

Van Der Pol Equation ◽

Van Der Pol ◽

Probabilistic Evolution ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 1: Arbitrariness and equipartition theorem in Kronecker power series

Journal of Mathematical Chemistry ◽

10.1007/s10910-013-0298-5 ◽

2013 ◽

Vol 52 (3) ◽

pp. 866-880 ◽

Cited By ~ 15

Author(s):

Coşar Gözükırmızı ◽

Metin Demiralp

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Kronecker Power Series ◽

Equipartition Theorem ◽

Probabilistic Evolution ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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Multinomialization of the classical three body problem before applying probabilistic evolution approach

10.1063/1.4756578 ◽

2012 ◽

Author(s):

Ercan Gürvit ◽

N. A. Baykara

Keyword(s):

Body Problem ◽

Three Body Problem ◽

Probabilistic Evolution ◽

Three Body ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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A probabilistic evolution approach trilogy, part 2: spectral issues for block triangular evolution matrix, singularities, space extension

Journal of Mathematical Chemistry ◽

10.1007/s10910-012-0080-0 ◽

2012 ◽

Vol 51 (4) ◽

pp. 1187-1197 ◽

Cited By ~ 15

Author(s):

Metin Demiralp ◽

N. A. Baykara

Keyword(s):

Space Extension ◽

Probabilistic Evolution ◽

Probabilistic Evolution Approach ◽

Evolution Approach

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