3 papers
math.NA2025
Exponential integrators for parabolic problems with non-homogeneous boundary conditions
Carlos Arranz-Simón, Alexander Ostermann
Exponential Runge-Kutta methods are a well-established tool for the numerical integration of parabolic evolution equations. However, these schemes are typically developed under the…
math.NA2025
Rational methods for abstract linear initial boundary value problems without order reduction
Carlos Arranz-Simón, Begoña Cano, César Palencia
Given an -stable rational approximation to of order , 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-Simón, Begoña Cano, César 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…