Cesar Palencia

collaborators

3 papers

math.NA2025

Rational methods for abstract linear initial boundary value problems without order reduction

Carlos Arranz-SimÃ³n, BegoÃ±a Cano, CÃ©sar Palencia

Given an $A$ -stable rational approximation to $e^{z}$ of order $p$ , numerical procedures are suggested to time integrate abstract, well-posed IBVPs, with time-dependent source term $…

math.NA2025

Rational methods for abstract semilinear problems without order reduction

Carlos Arranz-SimÃ³n, BegoÃ±a Cano, CÃ©sar Palencia

Rational methods are intended to time integrate linear homogeneous problems. However, their scope can be extended so as to cover linear nonhomogeneous problems. In this paper the i…

math.NA2024

Rational methods for abstract linear, non-homogeneous problems without order reduction

Carlos Arranz-SimÃ³n, Cesar Palencia

Starting from an A-stable rational approximation to $e^{z}$ of order $p$ , $r (z) = 1 + z + \dots + z^{p} / p! + O (z^{p + 1}),$ families of stable methods are proposed to time discreti…