Blow-up 6 Semidiscretization in space Approximation theory 4 Boundary conditions 4 Semilinear parabolic equations 4 Asymptotic 2 Asymptotic behaviour 2 Asymptotic stability 2 Blow-up time 2 Convergence of numerical methods 2 Integral equations 2 Matrix algebra 2 Ordinary differential equations 2 Parabolic equations 2 Partial differential equations 2 Perturbation techniques 2 Semidiscrete numerical approximation 2 Theorem proving 2 mathematical analysis 2