Unconditional convergence of DIRK schemes applied to dissipative evolution equations

DOI10.1016/j.apnum.2009.09.001zbMath1193.65138OpenAlexW2163409801MaRDI QIDQ969298

Eskil Hansen, Alexander Ostermann

Publication date: 6 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.09.001

zbMATH Keywords

dissipative evolution equationsunconditional convergenceDIRK schemes

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Diagonally implicit Runge-Kutta schemes: discrete energy-balance laws and compactness properties ⋮ Experimental validation of high-order time integration for non-linear heat transfer problems

Uses Software

• RODAS

Cites Work

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