Andrew J. Christlieb

84 papers Journal 84

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Particle-in-Cell Method for Plasmas with a Generalized Momentum Formulation, Part I: Model Formulation. J. Sci. Comput. Andrew J. Christlieb, William A. Sands, Stephen R. White
2025	J	`jnl`	A Particle-in-cell Method for Plasmas with A Generalized Momentum Formulation, Part III: A family of Gauge Conserving Methods. J. Sci. Comput. Andrew J. Christlieb, William A. Sands, Stephen R. White
2025	J	`jnl`	A Sampling-Based Adaptive Rank Approach to the Wigner-Poisson System. CoRR Andrew J. Christlieb, Sining Gong, Jing-Mei Qiu, Nanyi Zheng
2025	J	`jnl`	A Semi-Lagrangian Adaptive Rank (SLAR) Method for High-Dimensional Vlasov Dynamics. CoRR Nanyi Zheng, William A. Sands, Daniel Hayes, Andrew J. Christlieb, Jing-Mei Qiu
2025	J	`jnl`	A semi-Lagrangian adaptive-rank (SLAR) method for linear advection and nonlinear Vlasov-Poisson system. J. Comput. Phys. Nanyi Zheng, Daniel Hayes, Andrew J. Christlieb, Jing-Mei Qiu
2025	J	`jnl`	Boundary Corrections for Kernel Approximation to Differential Operators. J. Sci. Comput. Andrew J. Christlieb, Sining Gong, Hyoseon Yang
2025	J	`jnl`	Corrigendum to "Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods". J. Comput. Phys. Michael M. Crockatt, Andrew J. Christlieb, Cory D. Hauck
2025	J	`jnl`	Hyperbolic Machine Learning Moment Closures for the BGK Equations. Multiscale Model. Simul. Andrew J. Christlieb, Mingchang Ding, Juntao Huang, Nicholas A. Krupansky
2025	J	`jnl`	Influence of initial conditions on data-driven model identification and information entropy for ideal mhd problems. J. Comput. Phys. Gina Vasey, Daniel A. Messenger, David M. Bortz, Andrew J. Christlieb, Brian W. O'Shea
2025	J	`jnl`	Moment-enhanced shallow water equations for non-slip boundary conditions. CoRR Shiping Zhou, Juntao Huang, Andrew J. Christlieb
2025	J	`jnl`	On the Rotational Invariance and Hyperbolicity of Shallow Water Moment Equations in Two Dimensions. SIAM J. Math. Anal. Matthew Bauerle, Andrew J. Christlieb, Mingchang Ding, Juntao Huang
2024	J	`jnl`	A Particle-in-Cell Method for Plasmas with a Generalized Momentum Formulation, Part II: Enforcing the Lorenz Gauge Condition. J. Sci. Comput. Andrew J. Christlieb, William A. Sands, Stephen R. White
2024	J	`jnl`	A Particle-in-cell Method for Plasmas with a Generalized Momentum Formulation, Part II: Enforcing the Lorenz Gauge Condition. CoRR Andrew J. Christlieb, William A. Sands, Stephen R. White
2024	J	`jnl`	A Semi-Lagrangian Adaptive-Rank (SLAR) Method for Linear Advection and Nonlinear Vlasov-Poisson System. CoRR Nanyi Zheng, Daniel Hayes, Andrew J. Christlieb, Jing-Mei Qiu
2024	J	`jnl`	Boundary corrections for kernel approximation to differential operators. CoRR Andrew J. Christlieb, Sining Gong, Hyoseon Yang
2024	J	`jnl`	Hyperbolic Machine Learning Moment Closures for the BGK Equations. CoRR Andrew J. Christlieb, Mingchang Ding, Juntao Huang, Nicholas A. Krupansky
2023	J	`jnl`	Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures. Multiscale Model. Simul. Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong
2023	J	`jnl`	Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds. J. Sci. Comput. Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
2023	J	`jnl`	On the rotational invariance and hyperbolicity of shallow water moment equations in two dimensions. CoRR Matthew Bauerle, Andrew J. Christlieb, Mingchang Ding, Juntao Huang
2023	J	`jnl`	Order enhanced finite volume methods through non-polynomial approximation. J. Comput. Phys. Andrew J. Christlieb, William A. Sands, Hyoseon Yang
2022	J	`jnl`	A Particle-in-cell Method for Plasmas with a Generalized Momentum Formulation. CoRR Andrew J. Christlieb, William A. Sands, Stephen R. White
2022	J	`jnl`	Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure. J. Comput. Phys. Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
2021	J	`jnl`	A High Order Finite Difference Weighted Essentially NonOscillatory Scheme with a Kernel-Based Constrained Transport Method for Ideal Magnetohydrodynamics. SIAM J. Sci. Comput. Firat Cakir, Andrew J. Christlieb, Yan Jiang
2021	J	`jnl`	High-dimensional sparse Fourier algorithms. Numer. Algorithms Bosu Choi, Andrew J. Christlieb, Yang Wang
2021	J	`jnl`	Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure. CoRR Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
2021	J	`jnl`	Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures. CoRR Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong
2021	J	`jnl`	Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds. CoRR Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts
2021	J	`jnl`	Parallel Algorithms for Successive Convolution. J. Sci. Comput. Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands, Mathialakan Thavappiragasam
2021	J	`jnl`	Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly. CoRR Pierson T. Guthrey, James A. Rossmanith, Andrew J. Christlieb
2020	J	`jnl`	A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations. CoRR Kaipeng Wang, Andrew J. Christlieb, Yan Jiang, Mengping Zhang
2020	J	`jnl`	A Kernel-Based Explicit Unconditionally Stable Scheme for Hamilton-Jacobi Equations on Nonuniform Meshes. CoRR Andrew J. Christlieb, William Sands, Hyoseon Yang
2020	J	`jnl`	A Kernel-Based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes. J. Comput. Phys. Andrew J. Christlieb, William Sands, Hyoseon Yang
2020	J	`jnl`	Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow. CoRR Andrew J. Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise
2020	J	`jnl`	Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. J. Comput. Phys. Michael M. Crockatt, Andrew J. Christlieb, Cory D. Hauck
2020	J	`jnl`	Kernel Based High Order "Explicit" Unconditionally Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations. J. Sci. Comput. Andrew J. Christlieb, Wei Guo, Yan Jiang, Hyoseon Yang
2020	J	`jnl`	Parallel Algorithms for Successive Convolution. CoRR Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands, Mathialakan Thavappiragasam
2020	J	`jnl`	Superconvergent Non-Polynomial Approximations. CoRR Andrew J. Christlieb, William Sands, Hyoseon Yang
2019	J	`jnl`	A Kernel Based High Order "Explicit" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics. CoRR Firat Cakir, Andrew J. Christlieb, Yan Jiang
2019	J	`jnl`	A kernel based high order "explicit" unconditionally stable scheme for time dependent Hamilton-Jacobi equations. J. Comput. Phys. Andrew J. Christlieb, Wei Guo, Yan Jiang
2019	J	`jnl`	A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. J. Comput. Phys. Andrew J. Christlieb, Wei Guo, Yan Jiang, Hyoseon Yang
2019	J	`jnl`	Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. J. Comput. Phys. Michael M. Crockatt, Andrew J. Christlieb, C. Kristopher Garrett, Cory D. Hauck
2019	J	`jnl`	Multiscale High-Dimensional Sparse Fourier Algorithms for Noisy Data. CoRR Bosu Choi, Andrew J. Christlieb, Yang Wang
2018	J	`jnl`	A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes. SIAM J. Sci. Comput. Andrew J. Christlieb, Xiao Feng, Yan Jiang, Qi Tang
2018	J	`jnl`	Low-Storage Integral Deferred Correction Methods for Scientific Computing. SIAM J. Sci. Comput. Michael M. Crockatt, Andrew J. Christlieb
2017	J	`jnl`	A New Family of Regularized Kernels for the Harmonic Oscillator. J. Sci. Comput. Benjamin W. Ong, Andrew J. Christlieb, Bryan D. Quaife
2017	J	`jnl`	An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics. J. Sci. Comput. Yingda Cheng, Andrew J. Christlieb, Wei Guo, Benjamin W. Ong
2017	J	`jnl`	An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. J. Comput. Phys. Michael M. Crockatt, Andrew J. Christlieb, C. Kristopher Garrett, Cory D. Hauck
2017	J	`jnl`	Method of Lines Transpose: An Efficient Unconditionally Stable Solver for Wave Propagation. J. Sci. Comput. Matthew F. Causley, Andrew J. Christlieb, Eric M. Wolf
2017	J	`jnl`	Method of Lines Transpose: Energy Gradient Flows Using Direct Operator Inversion for Phase-Field Models. SIAM J. Sci. Comput. Matthew F. Causley, Hana Cho, Andrew J. Christlieb
2016	J	`jnl`	A WENO-based Method of Lines Transpose approach for Vlasov simulations. J. Comput. Phys. Andrew J. Christlieb, Wei Guo, Yan Jiang
2016	J	`jnl`	A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations. J. Comput. Phys. Andrew J. Christlieb, Xiao Feng, David C. Seal, Qi Tang
2016	J	`jnl`	A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. J. Comput. Phys. Eric M. Wolf, Matthew F. Causley, Andrew J. Christlieb, Matthew T. Bettencourt
2016	J	`jnl`	An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations. J. Sci. Comput. David C. Seal, Qi Tang, Zhengfu Xu, Andrew J. Christlieb
2016	J	`jnl`	Erratum to: Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes. J. Sci. Comput. Andrew J. Christlieb, Sigal Gottlieb, Zachary Grant, David C. Seal
2016	J	`jnl`	Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes. J. Sci. Comput. Andrew J. Christlieb, Sigal Gottlieb, Zachary Grant, David C. Seal
2016	J	`jnl`	Method of Lines Transpose: High Order L-Stable O(N) Schemes for Parabolic Equations Using Successive Convolution. SIAM J. Numer. Anal. Matthew F. Causley, Hana Cho, Andrew J. Christlieb, David C. Seal
2015	J	`jnl`	High order operator splitting methods based on an integral deferred correction framework. J. Comput. Phys. Andrew J. Christlieb, Yuan Liu, Zhengfu Xu
2015	J	`jnl`	High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. J. Comput. Phys. Andrew J. Christlieb, Yuan Liu, Qi Tang, Zhengfu Xu
2015	J	`jnl`	Numerical study of the two-species Vlasov-Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability. J. Comput. Phys. Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
2015	J	`jnl`	Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations. SIAM J. Sci. Comput. Andrew J. Christlieb, Yuan Liu, Qi Tang, Zhengfu Xu
2015	J	`jnl`	The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes. SIAM J. Numer. Anal. Andrew J. Christlieb, Yaman Güçlü, David C. Seal
2014	J	`jnl`	A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. J. Comput. Phys. Andrew J. Christlieb, Wei Guo, Maureen Morton, Jing-Mei Qiu
2014	J	`jnl`	Arbitrarily high order Convected Scheme solution of the Vlasov-Poisson system. J. Comput. Phys. Yaman Güçlü, Andrew J. Christlieb, William N. G. Hitchon
2014	J	`jnl`	Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. J. Comput. Phys. Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
2014	J	`jnl`	Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
2014	J	`jnl`	Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. J. Comput. Phys. Andrew J. Christlieb, James A. Rossmanith, Qi Tang
2014	J	`jnl`	High accuracy solutions to energy gradient flows from material science models. J. Comput. Phys. Andrew J. Christlieb, Jaylan Jones, Keith Promislow, Brian Wetton, Mark Willoughby
2014	J	`jnl`	High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. J. Comput. Phys. Tao Xiong, Jing-Mei Qiu, Zhengfu Xu, Andrew J. Christlieb
2014	J	`jnl`	High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws. J. Sci. Comput. David C. Seal, Yaman Güçlü, Andrew J. Christlieb
2014	J	`jnl`	Higher Order A-Stable Schemes for the Wave Equation Using a Successive Convolution Approach. SIAM J. Numer. Anal. Matthew F. Causley, Andrew J. Christlieb
2014	J	`jnl`	Method of lines transpose: An implicit solution to the wave equation. Math. Comput. Matthew F. Causley, Andrew J. Christlieb, Benjamin W. Ong, Lee Van Groningen
2013	J	`jnl`	A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data CoRR Andrew J. Christlieb, David Lawlor, Yang Wang
2013	J	`jnl`	Adaptive Sub-Linear Time Fourier Algorithms. Adv. Data Sci. Adapt. Anal. David Lawlor, Yang Wang, Andrew J. Christlieb
2012	J	`jnl`	A Parallel Space-Time Algorithm. SIAM J. Sci. Comput. Andrew J. Christlieb, Ronald D. Haynes, Benjamin W. Ong
2012	J	`jnl`	Adaptive sub-linear Fourier algorithms CoRR David Lawlor, Yang Wang, Andrew J. Christlieb
2012	J	`jnl`	Parallel Semi-Implicit Time Integrators CoRR Benjamin W. Ong, Andrew Melfi, Andrew J. Christlieb
2011	J	`jnl`	Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. J. Comput. Phys. Chaopeng Shen, Jing-Mei Qiu, Andrew J. Christlieb
2011	J	`jnl`	Implicit Parallel Time Integrators. J. Sci. Comput. Andrew J. Christlieb, Benjamin W. Ong
2010	J	`jnl`	A conservative high order semi-Lagrangian WENO method for the Vlasov equation. J. Comput. Phys. Jing-Mei Qiu, Andrew J. Christlieb
2010	J	`jnl`	Integral deferred correction methods constructed with high order Runge-Kutta integrators. Math. Comput. Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qiu
2010	J	`jnl`	PID feedback for load-balanced parallel gridless DSMC. Comput. Phys. Commun. Spencer E. Olson, Andrew J. Christlieb, Fredrik K. Fatemi
2010	J	`jnl`	Parallel High-Order Integrators. SIAM J. Sci. Comput. Andrew J. Christlieb, Colin B. Macdonald, Benjamin W. Ong
2008	J	`jnl`	Gridless DSMC. J. Comput. Phys. Spencer E. Olson, Andrew J. Christlieb
2004	J	`jnl`	A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap. Comput. Phys. Commun. Andrew J. Christlieb, Robert Krasny, John P. Verboncoeur