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ORCIDAndrew J. Christlieb
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2020 – today
- 2025
[j57]Michael M. Crockatt, Andrew J. Christlieb, Cory D. Hauck:
Corrigendum to "Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods". J. Comput. Phys. 521: 113566 (2025)- [j56]Gina Vasey
, Daniel A. Messenger, David M. Bortz, Andrew J. Christlieb, Brian W. O'Shea:
Influence of initial conditions on data-driven model identification and information entropy for ideal mhd problems. J. Comput. Phys. 524: 113719 (2025) - [j55]Andrew J. Christlieb, William A. Sands, Stephen White:
A Particle-in-Cell Method for Plasmas with a Generalized Momentum Formulation, Part I: Model Formulation. J. Sci. Comput. 103(1): 15 (2025) - [j54]Matthew Bauerle, Andrew J. Christlieb, Mingchang Ding, Juntao Huang:
On the Rotational Invariance and Hyperbolicity of Shallow Water Moment Equations in Two Dimensions. SIAM J. Math. Anal. 57(1): 1039-1085 (2025) - 2024
- [j53]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. J. Sci. Comput. 101(3): 73 (2024) - [i20]Andrew J. Christlieb, Mingchang Ding, Juntao Huang, Nicholas A. Krupansky:
Hyperbolic Machine Learning Moment Closures for the BGK Equations. CoRR abs/2401.04783 (2024) - [i19]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 abs/2401.08954 (2024) - [i18]Andrew J. Christlieb, Sining Gong, Hyoseon Yang:
Boundary corrections for kernel approximation to differential operators. CoRR abs/2410.09332 (2024) - [i17]Nanyi Zheng, Daniel Hayes, Andrew J. Christlieb, Jing-Mei Qiu:
A Semi-Lagrangian Adaptive-Rank (SLAR) Method for Linear Advection and Nonlinear Vlasov-Poisson System. CoRR abs/2411.17963 (2024) - 2023
- [j52]Andrew J. Christlieb, William A. Sands, Hyoseon Yang:
Order enhanced finite volume methods through non-polynomial approximation. J. Comput. Phys. 478: 111960 (2023) - [j51]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): 7 (2023) - [j50]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): 489-512 (2023) - [i16]Matthew Bauerle, Andrew J. Christlieb, Mingchang Ding, Juntao Huang:
On the rotational invariance and hyperbolicity of shallow water moment equations in two dimensions. CoRR abs/2306.07202 (2023) - 2022
- [j49]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: 110941 (2022) - [i15]Andrew J. Christlieb, William A. Sands, Stephen White:
A Particle-in-cell Method for Plasmas with a Generalized Momentum Formulation. CoRR abs/2208.11291 (2022) - 2021
- [j48]Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands, Mathialakan Thavappiragasam:
Parallel Algorithms for Successive Convolution. J. Sci. Comput. 86(1): 1 (2021) - [j47]Bosu Choi, Andrew J. Christlieb, Yang Wang:
High-dimensional sparse Fourier algorithms. Numer. Algorithms 87(1): 161-186 (2021) - [j46]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): B598-B622 (2021) - [i14]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 abs/2101.01231 (2021) - [i13]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 abs/2105.05690 (2021) - [i12]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 abs/2105.14410 (2021) - [i11]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 abs/2109.00700 (2021) - 2020
- [j45]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: 109543 (2020) - [j44]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: 109765 (2020) - [j43]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): 52 (2020) - [i10]Kaipeng Wang, Andrew J. Christlieb, Yan Jiang, Mengping Zhang:
A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations. CoRR abs/2001.04093 (2020) - [i9]Andrew J. Christlieb, William Sands, Hyoseon Yang:
A Kernel-Based Explicit Unconditionally Stable Scheme for Hamilton-Jacobi Equations on Nonuniform Meshes. CoRR abs/2002.00280 (2020) - [i8]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 abs/2006.04784 (2020) - [i7]Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands, Mathialakan Thavappiragasam:
Parallel Algorithms for Successive Convolution. CoRR abs/2007.03041 (2020) - [i6]Andrew J. Christlieb, William Sands, Hyoseon Yang:
Superconvergent Non-Polynomial Approximations. CoRR abs/2011.02654 (2020)
2010 – 2019
- 2019
- [j42]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: 455-477 (2019) - [j41]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: 214-236 (2019) - [j40]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: 334-354 (2019) - [i5]Bosu Choi, Andrew J. Christlieb, Yang Wang:
Multiscale High-Dimensional Sparse Fourier Algorithms for Noisy Data. CoRR abs/1907.03692 (2019) - [i4]Firat Cakir, Andrew J. Christlieb, Yan Jiang:
A Kernel Based High Order "Explicit" Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics. CoRR abs/1908.01023 (2019) - 2018
- [j39]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): A2631-A2666 (2018) - [j38]Michael M. Crockatt, Andrew J. Christlieb:
Low-Storage Integral Deferred Correction Methods for Scientific Computing. SIAM J. Sci. Comput. 40(5): A2883-A2904 (2018) - 2017
- [j37]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: 212-241 (2017) - [j36]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): 896-921 (2017) - [j35]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): 959-993 (2017) - [j34]Benjamin W. Ong, Andrew J. Christlieb, Bryan D. Quaife:
A New Family of Regularized Kernels for the Harmonic Oscillator. J. Sci. Comput. 71(3): 1212-1237 (2017) - [j33]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) - 2016
- [j32]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: 218-242 (2016) - [j31]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: 342-372 (2016) - [j30]Andrew J. Christlieb, Wei Guo, Yan Jiang:
A WENO-based Method of Lines Transpose approach for Vlasov simulations. J. Comput. Phys. 327: 337-367 (2016) - [j29]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): 171-190 (2016) - [j28]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): 914-942 (2016) - [j27]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): 943-944 (2016) - [j26]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): 1635-1652 (2016) - 2015
- [j25]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: 334-351 (2015) - [j24]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: 66-85 (2015) - [j23]Andrew J. Christlieb, Yuan Liu, Zhengfu Xu:
High order operator splitting methods based on an integral deferred correction framework. J. Comput. Phys. 294: 224-242 (2015) - [j22]Andrew J. Christlieb, Yaman Güçlü, David C. Seal:
The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes. SIAM J. Numer. Anal. 53(4): 1833-1856 (2015) - [j21]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) - 2014
- [j20]Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong:
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. J. Comput. Phys. 256: 630-655 (2014) - [j19]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: 193-215 (2014) - [j18]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: 7-27 (2014) - [j17]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: 302-325 (2014) - [j16]Yaman Güçlü, Andrew J. Christlieb, William N. G. Hitchon:
Arbitrarily high order Convected Scheme solution of the Vlasov-Poisson system. J. Comput. Phys. 270: 711-752 (2014) - [j15]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: 618-639 (2014) - [j14]Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong:
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. 279: 145-173 (2014) - [j13]David C. Seal, Yaman Güçlü, Andrew J. Christlieb:
High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws. J. Sci. Comput. 60(1): 101-140 (2014) - [j12]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): 2763-2786 (2014) - [j11]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): 220-235 (2014) - 2013
- [j10]David Lawlor, Yang Wang, Andrew J. Christlieb:
Adaptive Sub-Linear Time Fourier Algorithms. Adv. Data Sci. Adapt. Anal. 5(1) (2013) - [i3]Andrew J. Christlieb, David Lawlor, Yang Wang:
A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data. CoRR abs/1304.4517 (2013) - 2012
- [j9]Andrew J. Christlieb, Ronald D. Haynes, Benjamin W. Ong:
A Parallel Space-Time Algorithm. SIAM J. Sci. Comput. 34(5) (2012) - [i2]David Lawlor, Yang Wang, Andrew J. Christlieb:
Adaptive sub-linear Fourier algorithms. CoRR abs/1207.6368 (2012) - [i1]Benjamin W. Ong, Andrew Melfi, Andrew J. Christlieb:
Parallel Semi-Implicit Time Integrators. CoRR abs/1209.4297 (2012) - 2011
- [j8]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): 3780-3802 (2011) - [j7]Andrew J. Christlieb, Benjamin W. Ong:
Implicit Parallel Time Integrators. J. Sci. Comput. 49(2): 167-179 (2011) - 2010
- [j6]Spencer E. Olson, Andrew J. Christlieb, Fredrik K. Fatemi:
PID feedback for load-balanced parallel gridless DSMC. Comput. Phys. Commun. 181(12): 2063-2071 (2010) - [j5]Jing-Mei Qiu, Andrew J. Christlieb:
A conservative high order semi-Lagrangian WENO method for the Vlasov equation. J. Comput. Phys. 229(4): 1130-1149 (2010) - [j4]Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qiu:
Integral deferred correction methods constructed with high order Runge-Kutta integrators. Math. Comput. 79(270): 761-783 (2010) - [j3]Andrew J. Christlieb, Colin B. Macdonald, Benjamin W. Ong:
Parallel High-Order Integrators. SIAM J. Sci. Comput. 32(2): 818-835 (2010)
2000 – 2009
- 2008
- [j2]Spencer E. Olson, Andrew J. Christlieb:
Gridless DSMC. J. Comput. Phys. 227(17): 8035-8064 (2008) - 2004
- [j1]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): 306-310 (2004)
Coauthor Index
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