Computable explicit bounds for the discretization error of variable stepsize multistep methods
DOI10.1016/S0898-1221(00)00130-9zbMath0959.65095OpenAlexW1995999645MaRDI QIDQ1569972
Gregorio Rubio, Lucas Jodar, José-Luis Morera
Publication date: 16 April 2001
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00130-9
stabilityinitial value problemmultistep methodscomputable error boundDahlquist's root conditionvariable stepsize method
Nonlinear ordinary differential equations and systems (34A34) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
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