Andrew J. Christlieb

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 47

Top Topics

Finite Difference

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Sci. Comput.

Publications

Andrew J. Christlieb, Mingchang Ding, Juntao Huang, Nicholas A. Krupansky
Hyperbolic Machine Learning Moment Closures for the BGK Equations. CoRR (2024)
Andrew J. Christlieb, William A. Sands, Stephen White
A Particle-in-cell Method for Plasmas with a Generalized Momentum Formulation, Part II: Enforcing the Lorenz Gauge Condition. CoRR (2024)
Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures. Multiscale Model. Simul. 21 (2) (2023)
Andrew J. Christlieb, William A. Sands, Hyoseon Yang
Order enhanced finite volume methods through non-polynomial approximation. J. Comput. Phys. 478 (2023)
Matthew Bauerle, Andrew J. Christlieb, Mingchang Ding, Juntao Huang
On the rotational invariance and hyperbolicity of shallow water moment equations in two dimensions. CoRR (2023)
Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds. J. Sci. Comput. 94 (1) (2023)
Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure. J. Comput. Phys. 453 (2022)
Andrew J. Christlieb, William A. Sands, Stephen White
A Particle-in-cell Method for Plasmas with a Generalized Momentum Formulation. CoRR (2022)
Pierson T. Guthrey, James A. Rossmanith, Andrew J. Christlieb
Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly. CoRR (2021)
Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong
Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures. CoRR (2021)
Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure. CoRR (2021)
Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds. CoRR (2021)
Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands, Mathialakan Thavappiragasam
Parallel Algorithms for Successive Convolution. J. Sci. Comput. 86 (1) (2021)
Bosu Choi, Andrew J. Christlieb, Yang Wang
High-dimensional sparse Fourier algorithms. Numer. Algorithms 87 (1) (2021)
Firat Cakir, Andrew J. Christlieb, Yan Jiang
A High Order Finite Difference Weighted Essentially NonOscillatory Scheme with a Kernel-Based Constrained Transport Method for Ideal Magnetohydrodynamics. SIAM J. Sci. Comput. 43 (3) (2021)
Andrew J. Christlieb, William Sands, Hyoseon Yang
A Kernel-Based Explicit Unconditionally Stable Scheme for Hamilton-Jacobi Equations on Nonuniform Meshes. CoRR (2020)
Andrew J. Christlieb, Wei Guo, Yan Jiang, Hyoseon Yang
Kernel Based High Order "Explicit" Unconditionally Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations. J. Sci. Comput. 82 (3) (2020)
Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands, Mathialakan Thavappiragasam
Parallel Algorithms for Successive Convolution. CoRR (2020)
Andrew J. Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow. CoRR (2020)
Andrew J. Christlieb, William Sands, Hyoseon Yang
Superconvergent Non-Polynomial Approximations. CoRR (2020)
Kaipeng Wang, Andrew J. Christlieb, Yan Jiang, Mengping Zhang
A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations. CoRR (2020)
Michael M. Crockatt, Andrew J. Christlieb, Cory D. Hauck
Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. J. Comput. Phys. 422 (2020)
Andrew J. Christlieb, William Sands, Hyoseon Yang
A Kernel-Based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes. J. Comput. Phys. 415 (2020)
Michael M. Crockatt, Andrew J. Christlieb, C. Kristopher Garrett, Cory D. Hauck
Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. J. Comput. Phys. 376 (2019)
Andrew J. Christlieb, Wei Guo, Yan Jiang
A kernel based high order "explicit" unconditionally stable scheme for time dependent Hamilton-Jacobi equations. J. Comput. Phys. 379 (2019)
Bosu Choi, Andrew J. Christlieb, Yang Wang
Multiscale High-Dimensional Sparse Fourier Algorithms for Noisy Data. CoRR (2019)
Firat Cakir, Andrew J. Christlieb, Yan Jiang
A Kernel Based High Order "Explicit" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics. CoRR (2019)
Andrew J. Christlieb, Wei Guo, Yan Jiang, Hyoseon Yang
A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. J. Comput. Phys. 380 (2019)
Andrew J. Christlieb, Xiao Feng, Yan Jiang, Qi Tang
A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes. SIAM J. Sci. Comput. 40 (4) (2018)
Michael M. Crockatt, Andrew J. Christlieb
Low-Storage Integral Deferred Correction Methods for Scientific Computing. SIAM J. Sci. Comput. 40 (5) (2018)
Matthew F. Causley, Andrew J. Christlieb, Eric M. Wolf
Method of Lines Transpose: An Efficient Unconditionally Stable Solver for Wave Propagation. J. Sci. Comput. 70 (2) (2017)
Michael M. Crockatt, Andrew J. Christlieb, C. Kristopher Garrett, Cory D. Hauck
An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. J. Comput. Phys. 346 (2017)
Benjamin W. Ong, Andrew J. Christlieb, Bryan D. Quaife
A New Family of Regularized Kernels for the Harmonic Oscillator. J. Sci. Comput. 71 (3) (2017)
Matthew F. Causley, Hana Cho, Andrew J. Christlieb
Method of Lines Transpose: Energy Gradient Flows Using Direct Operator Inversion for Phase-Field Models. SIAM J. Sci. Comput. 39 (5) (2017)
Yingda Cheng, Andrew J. Christlieb, Wei Guo, Benjamin W. Ong
An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics. J. Sci. Comput. 71 (3) (2017)
Eric M. Wolf, Matthew F. Causley, Andrew J. Christlieb, Matthew T. Bettencourt
A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. J. Comput. Phys. 326 (2016)
Andrew J. Christlieb, Wei Guo, Yan Jiang
A WENO-based Method of Lines Transpose approach for Vlasov simulations. J. Comput. Phys. 327 (2016)
David C. Seal, Qi Tang, Zhengfu Xu, Andrew J. Christlieb
An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations. J. Sci. Comput. 68 (1) (2016)
Matthew F. Causley, Hana Cho, Andrew J. Christlieb, David C. Seal
Method of Lines Transpose: High Order L-Stable O(N) Schemes for Parabolic Equations Using Successive Convolution. SIAM J. Numer. Anal. 54 (3) (2016)
Andrew J. Christlieb, Sigal Gottlieb, Zachary Grant, David C. Seal
Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes. J. Sci. Comput. 68 (3) (2016)
Andrew J. Christlieb, Sigal Gottlieb, Zachary Grant, David C. Seal
Erratum to: Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes. J. Sci. Comput. 68 (3) (2016)
Andrew J. Christlieb, Xiao Feng, David C. Seal, Qi Tang
A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations. J. Comput. Phys. 316 (2016)
Andrew J. Christlieb, Yuan Liu, Zhengfu Xu
High order operator splitting methods based on an integral deferred correction framework. J. Comput. Phys. 294 (2015)
Andrew J. Christlieb, Yuan Liu, Qi Tang, Zhengfu Xu
Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations. SIAM J. Sci. Comput. 37 (4) (2015)
Andrew J. Christlieb, Yaman Güçlü, David C. Seal
The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes. SIAM J. Numer. Anal. 53 (4) (2015)
Andrew J. Christlieb, Yuan Liu, Qi Tang, Zhengfu Xu
High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. J. Comput. Phys. 281 (2015)
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
Numerical study of the two-species Vlasov-Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability. J. Comput. Phys. 288 (2015)
Andrew J. Christlieb, Jaylan Jones, Keith Promislow, Brian Wetton, Mark Willoughby
High accuracy solutions to energy gradient flows from material science models. J. Comput. Phys. 257 (2014)
Tao Xiong, Jing-Mei Qiu, Zhengfu Xu, Andrew J. Christlieb
High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. J. Comput. Phys. 273 (2014)
Andrew J. Christlieb, Wei Guo, Maureen Morton, Jing-Mei Qiu
A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. J. Comput. Phys. 267 (2014)
Andrew J. Christlieb, James A. Rossmanith, Qi Tang
Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. J. Comput. Phys. 268 (2014)
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. J. Comput. Phys. 256 (2014)
Yaman Güçlü, Andrew J. Christlieb, William N. G. Hitchon
Arbitrarily high order Convected Scheme solution of the Vlasov-Poisson system. J. Comput. Phys. 270 (2014)
Matthew F. Causley, Andrew J. Christlieb
Higher Order A-Stable Schemes for the Wave Equation Using a Successive Convolution Approach. SIAM J. Numer. Anal. 52 (1) (2014)
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. 279 (2014)
David C. Seal, Yaman Güçlü, Andrew J. Christlieb
High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws. J. Sci. Comput. 60 (1) (2014)
Matthew F. Causley, Andrew J. Christlieb, Benjamin W. Ong, Lee Van Groningen
Method of lines transpose: An implicit solution to the wave equation. Math. Comput. 83 (290) (2014)
Andrew J. Christlieb, David Lawlor, Yang Wang
A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data CoRR (2013)
David Lawlor, Yang Wang, Andrew J. Christlieb
Adaptive Sub-Linear Time Fourier Algorithms. Adv. Data Sci. Adapt. Anal. 5 (1) (2013)
Andrew J. Christlieb, Ronald D. Haynes, Benjamin W. Ong
A Parallel Space-Time Algorithm. SIAM J. Sci. Comput. 34 (5) (2012)
David Lawlor, Yang Wang, Andrew J. Christlieb
Adaptive sub-linear Fourier algorithms CoRR (2012)
Benjamin W. Ong, Andrew Melfi, Andrew J. Christlieb
Parallel Semi-Implicit Time Integrators CoRR (2012)
Chaopeng Shen, Jing-Mei Qiu, Andrew J. Christlieb
Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. J. Comput. Phys. 230 (10) (2011)
Andrew J. Christlieb, Benjamin W. Ong
Implicit Parallel Time Integrators. J. Sci. Comput. 49 (2) (2011)
Jing-Mei Qiu, Andrew J. Christlieb
A conservative high order semi-Lagrangian WENO method for the Vlasov equation. J. Comput. Phys. 229 (4) (2010)
Andrew J. Christlieb, Colin B. Macdonald, Benjamin W. Ong
Parallel High-Order Integrators. SIAM J. Sci. Comput. 32 (2) (2010)
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qiu
Integral deferred correction methods constructed with high order Runge-Kutta integrators. Math. Comput. 79 (270) (2010)
Spencer E. Olson, Andrew J. Christlieb, Fredrik K. Fatemi
PID feedback for load-balanced parallel gridless DSMC. Comput. Phys. Commun. 181 (12) (2010)
Spencer E. Olson, Andrew J. Christlieb
Gridless DSMC. J. Comput. Phys. 227 (17) (2008)
Andrew J. Christlieb, Robert Krasny, John P. Verboncoeur
A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap. Comput. Phys. Commun. 164 (1-3) (2004)