Probabilistic evolution theory for explicit autonomous ordinary differential equations: recursion of squarified telescope matrices and optimal space extension

DOI10.1007/S10910-017-0849-2zbMath1401.34019OpenAlexW2776332691MaRDI QIDQ1617467

Metin Demiralp, Coşar Gözükırmızı

Publication date: 8 November 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-017-0849-2

zbMATH Keywords

probabilistic evolution theorysquarificationKronecker multiplicationspace extensiontelescope matrices

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Generation, random and stochastic difference and differential equations (37H10)

Related Items (1)

Pure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmetic

Cites Work

• Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. I: Arbitrariness and equipartition theorem in Kronecker power series
• Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices
• Probabilistic evolution theory for the solution of explicit autonomous ordinary differential equations: squarified telescope matrices
• A probabilistic evolution approach trilogy. I: Quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence

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