Construction of implicit-explicit second-derivative BDF methods

DOI10.1007/s41980-018-0065-2zbMath1409.65045OpenAlexW2725105607WikidataQ129677948 ScholiaQ129677948MaRDI QIDQ1734097

Nazila Yousefzadeh, Ali Abdi, Gholamreza Hojjati

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0065-2

zbMATH Keywords

stiff systemsstability propertiesIMEX methodsSDBDFsecond-derivative multistep methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ Implicit-explicit second derivative diagonally implicit multistage integration methods

Uses Software

• RODAS

Cites Work

• Unnamed Item
• An extension of general linear methods
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Maximal order for second derivative general linear methods with Runge-Kutta stability
• Highly stable implicit-explicit Runge-Kutta methods
• On explicit two-derivative Runge-Kutta methods
• Modeling atmospheric chemistry and transport with dynamic adaptive resolution
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• On the stability of implicit-explicit linear multistep methods
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Implementation of Nordsieck second derivative methods for stiff ODEs
• Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability
• IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
• On the construction of second derivative diagonally implicit multistage integration methods for ODEs
• Extrapolation-based implicit-explicit general linear methods
• Two-derivative Runge-Kutta methods for PDEs using a novel discretization approach
• New second derivative multistep methods for stiff systems
• Second derivative methods with RK stability
• Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
• Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems
• An Implicit-Explicit Runge--Kutta--Chebyshev Scheme for Diffusion-Reaction Equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
• Numerical Methods for Ordinary Differential Equations

This page was built for publication: Construction of implicit-explicit second-derivative BDF methods