David Fernández, University of Waterloo

Research

Read how they describe their research on their University of Waterloo profile.

Numerical simulation of partial differential equations Mathematically robust schemes Summation-by-parts methods Continuous and discontinuous Galerkin schemes, finite difference schemes, etc.Mesh adaptation Machine learning for acceleration of scientific computing

Latest papers

A finite-difference summation-by-parts, conditionally stable partitioned algorithm for conjugate heat transfer problems
arXiv (Cornell University) · 2026
Learning Lyapunov Operators for Nonlinear Systems
arXiv (Cornell University) · 2026
A Finite-Difference Summation-by-Parts Conditionally Stable Partitioned Algorithm for Conjugate Heat Transfer Problems.
Journal of scientific computing · 2026

All 69 publications

69 publications.

01

A finite-difference summation-by-parts, conditionally stable partitioned algorithm for conjugate heat transfer problems

Sarah Nataj, David C. Del Rey Fernández, David Brown, Rajeev K. Jaiman

arXiv (Cornell University)2026Open Access

02

Learning Lyapunov Operators for Nonlinear Systems

Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández, Jun Liu

arXiv (Cornell University)2026Open Access

DOI: 10.48550/arxiv.2609.18894

03

A Finite-Difference Summation-by-Parts Conditionally Stable Partitioned Algorithm for Conjugate Heat Transfer Problems.

Nataj S, Del Rey Fernández DC, Brown D, Jaiman R

Journal of scientific computing2026Open Access

DOI: 10.1007/s10915-026-03462-x PMID: 42756191

04

Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws

Zelalem Arega Worku, David C. Del Rey Fernández, David W. Zingg

arXiv (Cornell University)2026Open Access

DOI: 10.48550/arxiv.2603.18369

05

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling

Anita Gjesteland, Sigrun Ortleb, Salim Elghawi, David C. Del Rey Fernández

arXiv (Cornell University)2026Senior authorOpen Access

06

Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws

Zelalem Arega Worku, David C. Del Rey Fernández, David W. Zingg

arXiv (Cornell University)2026Open Access

07

Nonlinear semigroups with unbounded generators under Carleman linearization

Sitanshu Gakkhar, Ala Shayeghi, David C. Del Rey Fernández

arXiv (Cornell University)2026Senior authorOpen Access

08

SAILOR: Solver-Assisted Interactive LLM-based Optimization Recovery

Shaghayegh Sadeghi, Stephen L. Smith, David C. Del Rey Fernández

arXiv (Cornell University)2026Senior authorOpen Access

09

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling

Anita Gjesteland, Sigrun Ortleb, Salim Elghawi, David C. Del Rey Fernández

arXiv (Cornell University)2026Senior authorOpen Access

DOI: 10.48550/arxiv.2604.21752

10

Nonlinear semigroups with unbounded generators under Carleman linearization

Sitanshu Gakkhar, Ala Shayeghi, David C. Del Rey Fernández

arXiv (Cornell University)2026Senior authorOpen Access

DOI: 10.48550/arxiv.2605.03381

Frequent collaborators

Department of Applied Mathematics
Diagnostic Radiology and Nuclear Medicine
Department of Mechanical Engineering
Department of Mechanical and Materials Engineering
Institute for Aerospace Studies
Department of Mathematics

Co-authors at University of Waterloo, colored by department. Thicker lines mean more shared papers; select anyone to open their profile and their own map.

David Del Rey Fernandez

Department of Applied Mathematics

69 shared papers, latest 2026

David Zingg

Institute for Aerospace Studies

25 shared papers, latest 2026

Aaron Fenster

Diagnostic Radiology and Nuclear Medicine

2 shared papers, latest 2009

Anat Kornecki

Diagnostic Radiology and Nuclear Medicine

2 shared papers, latest 2009

Sivakumaran Nadarajah

Department of Mechanical Engineering

2 shared papers, latest 2022

Rajeev Jaiman

Department of Mechanical Engineering

2 shared papers, latest 2026

J.M. Floryan

Department of Mechanical and Materials Engineering

1 shared papers, latest 2010

J Floryan

Department of Mathematics

1 shared papers, latest 2010

Kirsten Morris

Department of Applied Mathematics

1 shared papers, latest 2023

Jerzy Floryan

Department of Mechanical and Materials Engineering

1 shared papers, latest 2010

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Subject: Prospective PhD student: Numerical simulation of partial differential equations Dear Professor Fernández, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. I read your paper "A finite-difference summation-by-parts, conditionally stable partitioned algorithm for conjugate heat transfer problems" (2026), and it connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]