Awad H. Al-Mohy

collaborators

3 papers

math.NA2025

Computing Linear Combinations of $φ$ -Function Actions for Exponential Integrators

Awad H. Al-Mohy

We propose a matrix-free algorithm for evaluating linear combinations of $φ$ -function actions, $w_{i} := \sum_{j = 0}^{p} α_{i}^{j} φ_{j} (t_{i} A) v_{j}$ for $i = 1 : r$ , arising in expone…

math.NA2025

A scaling and recovering algorithm for the matrix $φ$ -functions

Awad H. Al-Mohy, Xiaobo Liu

A new scaling and recovering algorithm is proposed for simultaneously computing the matrix $φ$ -functions that arise in exponential integrator methods for the numerical solution of…

math.NA2024

A New Algorithm for Computing the Exponential of a Block Triangular Matrix

Awad H. Al-Mohy

The exponential of block triangular matrices arises in a wide range of scientific computing applications, including exponential integrators for solving systems of ordinary differen…

Computing Linear Combinations of φ-Function Actions for Exponential Integrators

A scaling and recovering algorithm for the matrix φ-functions

A New Algorithm for Computing the Exponential of a Block Triangular Matrix

Computing Linear Combinations of $φ$ -Function Actions for Exponential Integrators

A scaling and recovering algorithm for the matrix $φ$ -functions