The numerical stabilities of multiderivative block method

DOI10.1007/BF02453354zbMath0778.65055MaRDI QIDQ1261512

Yuhua Lin, Jiaoxun Kuang

Publication date: 3 January 1994

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

stiff differential equationssymbolic computationsblock methods\(A\)- stabilitymultiderivative Runge-Kutta methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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) Multiple scale methods for ordinary differential equations (34E13)

Related Items (1)

Unique solvability of nonlinear systems arising in the multiderivative block methods

Cites Work

• Discretization Errors for Well‐Set Cauchy Problems. I.
• A-stable block implicit one-step methods

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