A dual Petrov-Galerkin finite element method for the convection-diffusion equation. - Jesse Chan; John A. Evans; Weifeng Qiu (Comput. Math. Appl., 2014)

A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms. - Jesse Chan; Norbert Heuer; Tan Bui-Thanh; Leszek F. Demkowicz (Comput. Math. Appl., 2014)

Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems. - Truman Ellis; Leszek F. Demkowicz; Jesse Chan (Comput. Math. Appl., 2014)

hp-finite element trace inequalities for the pyramid. - Jesse Chan; Tim Warburton (Comput. Math. Appl., 2015)

A Comparison of High Order Interpolation Nodes for the Pyramid. - Jesse Chan; Timothy C. Warburton (SIAM J. Sci. Comput., 2015)

GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation. - Arturo Vargas; Jesse Chan; Thomas M. Hagstrom; Timothy Warburton (CoRR, 2016)

GPU-accelerated discontinuous Galerkin methods on hybrid meshes. - Jesse Chan; Zheng Wang; Axel Modave; Jean-François Remacle; Timothy C. Warburton (J. Comput. Phys., 2016)

Orthogonal Bases for Vertex-Mapped Pyramids. - Jesse Chan; Timothy C. Warburton (SIAM J. Sci. Comput., 2016)

A Short Note on a Bernstein-Bezier Basis for the Pyramid. - Jesse Chan; Tim Warburton (SIAM J. Sci. Comput., 2016)

On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems. - Jesse Chan; Timothy C. Warburton (Comput. Math. Appl., 2017)

Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes. - Jesse Chan; Zheng Wang; Russell J. Hewett; Timothy C. Warburton (Comput. Math. Appl., 2017)

A geometric multigrid preconditioning strategy for DPG system matrices. - Nathan V. Roberts; Jesse Chan (Comput. Math. Appl., 2017)

Weight-Adjusted Discontinuous Galerkin Methods: Curvilinear Meshes. - Jesse Chan; Russell J. Hewett; Timothy Warburton (SIAM J. Sci. Comput., 2017)

Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media. - Jesse Chan; Russell J. Hewett; Timothy Warburton (SIAM J. Sci. Comput., 2017)

GPU-Accelerated Bernstein-Bézier Discontinuous Galerkin Methods for Wave Problems. - Jesse Chan; Timothy C. Warburton (SIAM J. Sci. Comput., 2017)

On discretely entropy conservative and entropy stable discontinuous Galerkin methods. - Jesse Chan (J. Comput. Phys., 2018)

On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes. - Jesse Chan; Lucas C. Wilcox (J. Comput. Phys., 2019)

Skew-Symmetric Entropy Stable Modal Discontinuous Galerkin Formulations. - Jesse Chan (J. Sci. Comput., 2019)

Leapfrog Time-Stepping for Hermite Methods. - Arturo Vargas; Thomas M. Hagstrom; Jesse Chan; Tim Warburton (J. Sci. Comput., 2019)

Efficient Entropy Stable Gauss Collocation Methods. - Jesse Chan; David C. Del Rey Fernández; Mark H. Carpenter (SIAM J. Sci. Comput., 2019)

High order weight-adjusted discontinuous Galerkin methods for wave propagation on moving curved meshes. - Kaihang Guo; Jesse Chan (CoRR, 2020)

Entropy stable reduced order modeling of nonlinear conservation laws. - Jesse Chan (J. Comput. Phys., 2020)

A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media. - Kaihang Guo; Sebastian Acosta; Jesse Chan (J. Comput. Phys., 2020)

Bernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media. - Kaihang Guo; Jesse Chan (J. Comput. Phys., 2020)

A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: Penalty fluxes and micro-heterogeneities. - Khemraj Shukla; Jesse Chan; Maarten V. de Hoop; Priyank Jaiswal (J. Comput. Phys., 2020)

A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation. - Khemraj Shukla; Jesse Chan; Maarten V. de Hoop (Comput. Math. Appl., 2021)

High-order entropy stable discontinuous Galerkin methods for the shallow water equations: Curved triangular meshes and GPU acceleration. - Xinhui Wu; Ethan J. Kubatko; Jesse Chan (Comput. Math. Appl., 2021)

Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing. - Hendrik Ranocha; Michael Schlottke-Lakemper; Andrew R. Winters; Erik Faulhaber; Jesse Chan; Gregor J. Gassner (CoRR, 2021)

Entropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation. - Xinhui Wu; Nathaniel Trask; Jesse Chan (CoRR, 2021)

Mortar-based Entropy-Stable Discontinuous Galerkin Methods on Non-conforming Quadrilateral and Hexahedral Meshes. - Jesse Chan; Mario J. Bencomo; David C. Del Rey Fernández (J. Sci. Comput., 2021)

Entropy Stable Discontinuous Galerkin Methods for Nonlinear Conservation Laws on Networks and Multi-Dimensional Domains. - Xinhui Wu; Jesse Chan (J. Sci. Comput., 2021)

On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows. - Jesse Chan; Hendrik Ranocha; Andrés M. Rueda-Ramírez; Gregor Gassner; Tim Warburton (CoRR, 2022)

Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations. - Jesse Chan; Yimin Lin; Tim Warburton (J. Comput. Phys., 2022)

Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes. - Jesse Chan; Christina G. Taylor (J. Comput. Phys., 2022)

Provably stable flux reconstruction high-order methods on curvilinear elements. - Alexander Cicchino; David C. Del Rey Fernández; Siva Nadarajah; Jesse Chan; Mark H. Carpenter (J. Comput. Phys., 2022)

Pseudo-Differential Sweeping Method for Ultrasound Waves with Fractional Attenuation. - Sebastian Acosta; Jesse Chan; Raven Johnson; Benjamín Palacios (CoRR, 2023)

High-order methods for hypersonic flows with strong shocks and real chemistry. - Ahmad Peyvan; Khemraj Shukla; Jesse Chan; George E. Karniadakis (J. Comput. Phys., 2023)

A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations. - Yimin Lin; Jesse Chan; Ignacio Tomas (J. Comput. Phys., 2023)

Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. - Andrés M. Rueda-Ramírez; Florian J. Hindenlang; Jesse Chan; Gregor J. Gassner (J. Comput. Phys., 2023)

Discrete Adjoint Computations for Relaxation Runge-Kutta Methods. - Mario J. Bencomo; Jesse Chan (J. Sci. Comput., 2023)

Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws. - Hendrik Ranocha; Michael Schlottke-Lakemper; Jesse Chan; Andrés M. Rueda-Ramírez; Andrew R. Winters; Florian Hindenlang; Gregor J. Gassner (ACM Trans. Math. Softw., 2023)

A robust first order meshfree method for time-dependent nonlinear conservation laws. - Samuel Kwan; Jesse Chan (CoRR, 2024)

An Entropy Stable High-Order Discontinuous Galerkin Method on Cut Meshes. - Christina G. Taylor; Jesse Chan (CoRR, 2024)

High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations. - Jesse Chan; Khemraj Shukla; Xinhui Wu; Ruofeng Liu; Prani Nalluri (J. Comput. Phys., 2024)

Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation. - Sebastian Acosta; Jesse Chan; Raven Johnson; Benjamín Palacios (SIAM J. Appl. Math., 2024)

High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting. - Yimin Lin; Jesse Chan (J. Comput. Phys., 2024)

An energy stable high-order cut cell discontinuous Galerkin method with state redistribution for wave propagation. - Christina G. Taylor; Lucas C. Wilcox; Jesse Chan (J. Comput. Phys., 2025)

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods. - Jesse Chan (CoRR, 2025)

Entropy stable reduced order modeling of nonlinear conservation laws using discontinuous Galerkin methods. - Ray Qu; Akil Narayan 001; Jesse Chan (CoRR, 2025)

Model order reduction techniques for the stochastic finite volume method. - Ray Qu; Jesse Chan; Svetlana Tokareva (CoRR, 2025)

Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting. - Brian Christner; Jesse Chan (CoRR, 2025)