PDF

This category marks all the ICTP posts containing the pdf file of the paper/book.

Spectral collocation solutions to systems of boundary layer type

8 years ago

AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…

All roots spectral methods: Constraints, floating point arithmetic and root exclusion

8 years ago

Abstract The nonlinear two-point boundary value problem (TPBVP for short) \[u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,\] offers several insights into spectral methods. First, it…

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation

8 years ago

AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation

8 years ago

AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…

PDF

Related Posts

Spectral collocation solutions to systems of boundary layer type

All roots spectral methods: Constraints, floating point arithmetic and root exclusion

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation

Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation

On some one-step implicit methods as dynamical systems

Spectral methods in linear stability. Applications to thermal convection with variable gravity field

Accurate numerical solutions to stationary free surface problems from capillarity

Stable spectral collocation solutions to Cauchy problems for nonlinear dispersive wave equations

On the numerical treatment of the eigenparameter dependent boundary conditions

Laguerre collocation solutions to boundary layer type problems