论文信息 - On the convergence of multistep methods for nonlinear stiff differential equations - 字舞流文

On the convergence of multistep methods for nonlinear stiff differential equations

Convergence estimates are given forA(?)-stable multistep methods applied to singularly perturbed differential equations and nonlinear parabolic problems. The approach taken here combines perturbation arguments with frequency domain techniques.

C. Lubich | C. Lubich

[1] Olavi Nevanlinna,et al. Multiplier techniques for linear multistep methods , 1981 .

[2] Hiroshi Fujita,et al. On the Navier-Stokes initial value problem. I , 1964 .

[3] Daniel B. Henry. Geometric Theory of Semilinear Parabolic Equations , 1989 .

[4] R. LeVeque,et al. On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods , 1983 .

[5] Marie-Noelle Le Roux,et al. Méthodes multipas pour des équations paraboliques non linéaires , 1980 .

[6] P. P. B. Eggermont,et al. Uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line , 1991 .

[7] Amnon Pazy,et al. Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[8] Hiroko Morimoto,et al. On the Navier-Stokes initial value problem , 1974 .

[9] J. Goldstein. Semigroups of Linear Operators and Applications , 1985 .

[10] Germund Dahlquist,et al. G-stability is equivalent toA-stability , 1978 .

[11] C. Lubich. Convolution quadrature and discretized operational calculus. II , 1988 .