Recently, there has appeared a new type of evaluating partial differential equations with Volterra integral operators in various practical areas. Such equations possess new physical and mathematical properties. This monograph systematically discusses application of the finite element methods to numerical solution of integrodifferential equations. It will be useful for numerical analysts, mathematicians, physicists and engineers. Advanced undergraduates and graduate students should also find it beneficial.
Contents:
- Some Practical Problems and Their Properties
- Parabolic Integrodifferential Equations
- A Survey on Elliptic Finite Elements
- Semidiscrete and Fully Discrete Schemes
- Saving of Storage
- Cases with Nonsmooth Initial Values
- Cases with Weakly Singular Kernels
- Long-Time Estimates
- Maximum Norm Estimates
- Superconvergence
- Nonlinear Problems
- Hyperbolic Problems
- Problems with Positive Memory
Readership: Researchers in numerical and computational methods.
