Abstract: We analyse the convergence properties of the exponential Lie and Strang splitting applied to inhomogeneous second-order parabolic equations with homogeneous Dirichlet boundary conditions. A ...

MATLAB codes associated with the paper: "A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory" by G W Duchesne , J-P Lessard and A Takayasu ...

Abstract: This paper deals with the exponential stabilization problem for a class of nonlinear spatially distributed processes that are modeled by semilinear parabolic partial differential equations ...