Time-stepping schemes for systems of Volterra integro-differential equations

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 43-44, 2001, Pages 5691-5718

  Patlashenko, Igor ^a   Givoli, Dan ^b   Barbone, Paul ^c  

^a India Center of Excellence   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c BOSTON UNIVERSITY   (United States)

Author keywords

Dispersive waves; Dynamical systems; Finite elements; Integro differential equations; Numerical integration; Viscoelasticity; Volterra

Indexed keywords

FINITE ELEMENT METHOD; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL ANALYSIS; VISCOELASTICITY; WAVE EQUATIONS;

SCALAR MODEL PROBLEMS;

STATISTICAL MECHANICS;

FINITE ELEMENT METHOD; VISCOELASTICITY;

EID: 0035902807     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00192-X     Document Type: Article

References (25)

1. A numerical procedure for viscoelastic stress analysis
2. Thermomechanical analysis of viscoelastic solids
3. Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids
4. A general method for FDTD modeling of wave propagation in arbitrary frequency-dispersive media
5. Dirichlet to Neumann maps for the representation of equipment with weak nonlinearities
6. High modal density approximations for equipment in the time domain
7. Canonical representations of complex vibratory subsystems: Time domain Dirichlet to neumann maps
8. Numerical solution of systems of integro-differential equations
9. Implicit Runge-Kutta-Nystrom methods for general second-order Volterra integro-differential equations
10. Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels
11. Ritz-Volterra projections to finite-element spaces and applications to integro-differential and related equations
12. Fast method for solving second-order boundary value Volterra integro-differential equations
13. Euler-Chebyshev methods for integro-differential equations
14. Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay
15. Numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems
16. Time point relaxation methods for Volterra integro-differential equations
17. Effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations
18. Improved numerical dissipation for time integration algorithms in structural dynamics
19. Numerical methods for problems in infinite domains
20. A numerical solution procedure for exterior wave problems