The Runge–Kutta method in geometric multiplicative calculus

DOI10.1112/S1461157015000145zbMath1321.65117arXiv1311.6108OpenAlexW2479075220MaRDI QIDQ2942128

Hatice Aktöre, Mustafa Riza

Publication date: 26 August 2015

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6108

zbMATH Keywords

stabilitynumerical exampleserror boundspositive-valued functionsgeometric multiplicative calculusmultiplicative Runge-Kutta method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for functional-differential equations (65L03)

Related Items (2)

Dynamical resilience of networks against targeted attack ⋮ Vector properties of geometric calculus

Cites Work

• Unnamed Item
• On modeling with multiplicative differential equations
• Multiplicative type complex calculus as an alternative to the classical calculus
• Multiplicative Adams Bashforth-Moulton methods
• Multiplicative Runge-Kutta methods
• Multiplicative calculus and its applications
• Stability regions for one-step multiderivative methods in PECE mode with application to stiff systems
• A stability property of implicit Runge-Kutta methods
• Multiplicative finite difference methods
• A special stability problem for linear multistep methods

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