High order accurate Hermite schemes on curvilinear grids with compatibility boundary conditions - Allen Alvarez Loya; Daniel Appelö; William D. Henshaw (J. Comput. Phys., 2025)

Kraus is king: High-order completely positive and trace preserving (CPTP) low rank method for the Lindblad master equation - Daniel Appelö; Yingda Cheng (J. Comput. Phys., 2025)

The Hermite-Taylor correction function method for embedded boundary and Maxwell's interface problems - Yann-Meing Law; Daniel Appelö; Thomas M. Hagstrom (J. Comput. Phys., 2025)

Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations - Daniel Appelö; Yingda Cheng (J. Sci. Comput., 2025)

lrAA: Low-Rank Anderson Acceleration - Daniel Appelö; Yingda Cheng (CoRR, 2025)

An Optimal O(N) Helmholtz Solver for Complex Geometry using WaveHoltz and Overset Grids - Daniel Appelö; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (CoRR, 2025)

A P-Adaptive Hermite Method for Nonlinear Dispersive Maxwell's Equations - Yann-Meing Law; Zhichao Peng; Daniel Appelö; Thomas M. Hagstrom (CoRR, 2025)

EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation - Daniel Appelö; Jeffrey W. Banks; William D. Henshaw; Ngan Le; Donald W. Schwendeman (CoRR, 2025)

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm - Daniel Appelö; Francis Appiah; Jeffrey W. Banks; Cassandra Carrick; William D. Henshaw; Donald W. Schwendeman (CoRR, 2025)

Energy-Conserving Hermite Methods for Maxwell's Equations - Daniel Appelö; Thomas M. Hagstrom; Yann-Meing Law-Kam-Cio (CoRR, 2024)

Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations - Daniel Appelö; Yingda Cheng (CoRR, 2024)

High Order Accurate Hermite Schemes on Curvilinear Grids with Compatibility Boundary Conditions - Allen Alvarez Loya; Daniel Appelö; William D. Henshaw (CoRR, 2024)

Convergence of the Semi-Discrete WaveHoltz Iteration - Amit Rotem; Olof Runborg; Daniel Appelö (CoRR, 2024)

Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation - Daniel Appelö; Yingda Cheng (CoRR, 2024)

Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations - Shixu Meng; Daniel Appelö; Yingda Cheng (CoRR, 2024)

Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness - Zhichao Peng; Daniel Appelö; Shuang Liu (J. Sci. Comput., 2023)

The Hermite-Taylor Correction Function Method for Embedded Boundary and Maxwell's Interface Problems - Yann-Meing Law; Daniel Appelö; Thomas M. Hagstrom (CoRR, 2023)

Mathematical approaches for characterization, control, calibration and validation of a quantum computing device - Zhichao Peng; Daniel Appelö; N. Anders Petersson; Fortino Garcia; Yujin Cho (CoRR, 2023)

Fast and high-order approximation of parabolic equations using hierarchical direct solvers and implicit Runge-Kutta methods - Ke Chen; Daniel Appelö; Tracy Babb; Per-Gunnar Martinsson (CoRR, 2023)

Anderson acceleration based on the H-s Sobolev norm for contractive and noncontractive fixed-point operators - Yunan Yang; Alex Townsend; Daniel Appelö (J. Comput. Appl. Math., 2022)

A Hermite Method with a Discontinuity Sensor for Hamilton-Jacobi Equations - Allen Alvarez Loya; Daniel Appelö (J. Sci. Comput., 2022)

An Energy-Based Summation-by-Parts Finite Difference Method For the Wave Equation in Second Order Form - Siyang Wang; Daniel Appelö; Gunilla Kreiss (J. Sci. Comput., 2022)

Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations - Hao Li; Daniel Appelö; Xiangxiong Zhang (SIAM J. Numer. Anal., 2022)

Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness - Zhichao Peng; Daniel Appelö; Shuang Liu (CoRR, 2022)

El-WaveHoltz: A Time-Domain Iterative Solver for Time-Harmonic Elastic Waves - Daniel Appelö; Fortino Garcia; Allen Alvarez Loya; Olof Runborg (CoRR, 2022)

Extensions and Analysis of an Iterative Solution of the Helmholtz Equation via the Wave Equation - Fortino Garcia; Daniel Appelö; Olof Runborg (CoRR, 2022)

The Hermite-Taylor Correction Function Method for Maxwell's Equations - Yann-Meing Law; Daniel Appelö (CoRR, 2022)

Accuracy of spectral element method for wave, parabolic and Schrödinger equations - Hao Li; Daniel Appelö; Xiangxiong Zhang (CoRR, 2021)

An energy-based summation-by-parts finite difference method for the wave equation in second order form - Siyang Wang; Daniel Appelö; Gunilla Kreiss (CoRR, 2021)

EM-WaveHoltz: A flexible frequency-domain method built from time-domain solvers - Zhichao Peng; Daniel Appelö (CoRR, 2021)

Fourier Continuation Discontinuous Galerkin Methods for Linear Hyperbolic Problems - Daniel Appelö; Kiera van der Sande; Nathan Albin (CoRR, 2021)

Energy-based discontinuous Galerkin difference methods for second-order wave equations - Lu Zhang; Daniel Appelö; Thomas M. Hagstrom (CoRR, 2021)

A Hermite Method with a Discontinuity Sensor for Hamilton-Jacobi Equations - Allen Alvarez Loya; Daniel Appelö (CoRR, 2021)

An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation - Daniel Appelö; Lu Zhang; Thomas M. Hagstrom; Fengyan Li (CoRR, 2021)

An energy-based discontinuous Galerkin method for semilinear wave equations - Daniel Appelö; Thomas M. Hagstrom; Qi Wang; Lu Zhang (J. Comput. Phys., 2020)

WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation - Daniel Appelö; Fortino Garcia; Olof Runborg (SIAM J. Sci. Comput., 2020)

Hermite-Discontinuous Galerkin Overset Grid Methods for the Scalar Wave Equation - Oleksii Beznosov; Daniel Appelö (CoRR, 2020)

An energy-based discontinuous Galerkin method for semilinear wave equations - Daniel Appelö; Thomas M. Hagstrom; Qi Wang; Lu Zhang (CoRR, 2020)

Anderson Acceleration Using the H\(^-s\) Norm - Yunan Yang; Alex Townsend; Daniel Appelö (CoRR, 2020)

An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection - Lu Zhang; Thomas M. Hagstrom; Daniel Appelö (SIAM J. Numer. Anal., 2019)

WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation - Daniel Appelö; Fortino Garcia; Olof Runborg (CoRR, 2019)

Flux-Conservative Hermite Methods for Simulation of Nonlinear Conservation Laws - Adeline Kornelus; Daniel Appelö (J. Sci. Comput., 2018)

A MultiOrder Discontinuous Galerkin Monte Carlo Method for Hyperbolic Problems with Stochastic Parameters - Mohammad Motamed; Daniel Appelö (SIAM J. Numer. Anal., 2018)

Hermite Methods for the Scalar Wave Equation - Daniel Appelö; Thomas M. Hagstrom; Arturo Vargas (SIAM J. Sci. Comput., 2018)

A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form - Daniel Appelö; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2015)

A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations - Xi (Ronald) Chen; Daniel Appelö; Thomas M. Hagstrom (J. Comput. Phys., 2014)

Numerical methods for solid mechanics on overlapping grids: Linear elasticity - Daniel Appelö; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2012)

A Fourth-Order Accurate Embedded Boundary Method for the Wave Equation - Daniel Appelö; N. Anders Petersson (SIAM J. Sci. Comput., 2012)

A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems - Daniel Appelö; Tim Colonius (J. Comput. Phys., 2009)

A General Perfectly Matched Layer Model for Hyperbolic-Parabolic Systems - Daniel Appelö; Thomas M. Hagstrom (SIAM J. Sci. Comput., 2009)

A new absorbing layer for elastic waves - Daniel Appelö; Gunilla Kreiss (J. Comput. Phys., 2006)

Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well-posedness, and Stability - Daniel Appelö; Thomas M. Hagstrom; Gunilla Kreiss (SIAM J. Appl. Math., 2006)