论文信息 - Numerical methods for hyperbolic and parabolic integro-differential equations

Numerical methods for hyperbolic and parabolic integro-differential equations

An analysis by energy methods is given for fully discrete numerical methods for time-dependent partial integro-differential equations. Stability and error estimates are derived in H1 and L2. The methods considered pay attention to the storage needs during time-stepping.

[1] A. H. Schatz,et al. Interior estimates for Ritz-Galerkin methods , 1974 .

[2] Y. Lin,et al. Non-classicalH1 projection and Galerkin methods for non-linear parabolic integro-differential equations , 1988 .

[3] V. Thomée,et al. Ritz-Volterra projections to finite-element spaces and applications to integrodifferential and related equations , 1991 .

[4] G. Fairweather,et al. Finite element methods for parabolic and hyperbolic partial integro-differential equations , 1988 .

[5] Michael Renardy,et al. Mathematical problems in viscoelasticity , 1987 .

[6] Vidar Thomée,et al. Error estimates for semidiscrete finite element methods for parabolic integro-differential equations , 1989 .

[7] Galerkin methods and L2-error estimates for hyperbolic integro-differential equations , 1989 .