Truncation approximants to probabilistic evolution of ordinary differential equations under initial conditions via bidiagonal evolution matrices: simple case

DOI10.1080/00207160.2013.774385zbMath1282.65080OpenAlexW2050300480MaRDI QIDQ2874313

N. A. Baykara, Metin Demiralp, Fatih Hunutlu

Publication date: 29 January 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.774385

zbMATH Keywords

numerical examplesordinary differential equationsinitial value problemstriangularityprobabilistic evolutionconicalityevolution matricesmultinomiality

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Probabilistic evolution theory for the solution of explicit autonomous ordinary differential equations: squarified telescope matrices

Cites Work

• A probabilistic foundation for dynamical systems: theoretical background and mathematical formulation
• A probabilistic foundation for dynamical systems: phenomenological reasoning and principal characteristics of probabilistic evolution
• Approximation of solutions of an equilibrium problem in a Banach space
• VSVO multistep formulae adapted to perturbed second-order differential equations
• A contemporary linear representation theory for ordinary differential equations: probabilistic evolutions and related approximants for unidimensional autonomous systems
• A probabilistic evolution approach trilogy. I: Quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence
• A probabilistic evolution approach trilogy. III: Temporal variation of state variable expectation values from Liouville equation perspective
• A probabilistic evolution approach trilogy. II: Spectral issues for block triangular evolution matrix, singularities, space extension
• Solving Ordinary Differential Equations I
• Solving Ordinary Differential Equations II

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