Vol. 10, No. 1/3, Special Conference Issue: Trento, Italy, 1984: Integrodifferential Evolution Equations and Applications (1985), pp. 73-97 (25 pages) In the last decade, the theory of abstract linear ...

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...

Boundary-domain integral equations (BDIEs) have emerged as a robust framework for the reformulation and solution of boundary value problems (BVPs) in complex settings. By incorporating integrals over ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...