A high dimensional model representation based numerical method for solving ordinary differential equations

DOI10.1007/s10910-010-9768-1zbMath1217.65131OpenAlexW1979864573MaRDI QIDQ551825

Metin Demiralp, Nejla Altay

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-010-9768-1

zbMATH Keywords

interpolationorthogonal polynomialsordinary differential equationshigh dimensional model representation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid
• Trees and numerical methods for ordinary differential equations
• Numerical solution of ordinary differential equations by fluctuationlessness theorem
• General foundations of high-dimensional model representations
• Efficient input-output model representations
• No fluctuation approximation in any desired precision for univariate function matrix representations
• Hybrid high dimensional model representation (HHDMR) on the partitioned data
• Solving Ordinary Differential Equations I
• A Factorized High Dimensional Model Representation on the Partitioned Random Discrete Data
• Coefficients for the study of Runge-Kutta integration processes
• Numerical Methods for Ordinary Differential Equations
• Efficient implementation of high dimensional model representations
• High dimensional model representations generated from low dimensional data samples. I: mp-cut-HDMR

This page was built for publication: A high dimensional model representation based numerical method for solving ordinary differential equations