Edit Profile (opens in new tab) Christlieb, Andrew J. Co-Author Distance Author ID: christlieb.andrew-j Published as: Christlieb, Andrew J.; Christlieb, Andrew; Christlieb, A. J. more...less Documents Indexed: 65 Publications since 2003 Co-Authors: 66 Co-Authors with 65 Joint Publications 1,781 Co-Co-Authors all top 5 Co-Authors 0 single-authored 10 Ong, Benjamin W. 8 Qiu, Jingmei 7 Cheng, Yingda 7 Guo, Wei 7 Jiang, Yan 6 Causley, Matthew F. 6 Seal, David C. 6 Tang, Qi 6 Xu, Zhengfu 5 Yang, Hyoseon 4 Crockatt, Michael M. 3 Güçlü, Yaman 3 Hauck, Cory D. 3 Huang, Juntao 3 Liu, Yuan 3 Promislow, Keith Steven 3 Roberts, Luke F. 3 Sands, William A. 3 Zhong, Xinghui 2 Boyd, Iain D. 2 Cho, Hana 2 Choi, Bosu 2 Feng, Xiao 2 Garrett, C. Kristopher 2 Hitchon, W. Nicholas G. 2 Macdonald, Colin B. 2 Morton, Maureen 2 Olson, Spencer E. 2 Rossmanith, James A. 2 Wang, Yang 2 Wolf, Eric M. 1 Bettencourt, Matthew T. 1 Cakir, Firat 1 Chang, Ruimeng 1 Fatemi, Fredrik K. 1 Gottlieb, Sigal 1 Grant, Zachary J. 1 Guthrey, Pierson T. 1 Haynes, Ronald D. 1 Hitchon, William N. G. 1 Iwen, Mark A. 1 Jones, Jaylan 1 Kraitzman, Noa 1 Krasny, Robert 1 Lawlor, David 1 Lin, Guang 1 Link, Matthew 1 Merhi, Sami 1 Quaife, Bryan D. 1 Shen, Chaopeng 1 Smereka, Peter 1 Spiteri, Raymond J. 1 Sun, Quanhua 1 Sussman, Mark 1 Thavappiragasm, Mathialakan 1 van Groningen, Lee 1 VanderWyst, Anton 1 Verboncoeur, John P. 1 Wang, Kaipeng 1 Wang, Yang 1 Wetton, Brian R. 1 Willoughby, Mark R. 1 Xiong, Tao 1 Yong, Wen-An 1 Zhang, Mengping 1 Zhang, Ruochuan all top 5 Serials 25 Journal of Computational Physics 10 Journal of Scientific Computing 7 SIAM Journal on Scientific Computing 3 SIAM Journal on Numerical Analysis 3 Communications in Mathematical Sciences 2 Computer Physics Communications 2 Mathematics of Computation 2 Communications in Applied Mathematics and Computational Science 2 Communications in Computational Physics 1 Physica D 1 Numerical Algorithms 1 Applied and Computational Harmonic Analysis 1 The Journal of Fourier Analysis and Applications 1 Multiscale Modeling & Simulation 1 Mathematics 1 Communications on Applied Mathematics and Computation 1 Mathematics, Computation and Geometry of Data all top 5 Fields 59 Numerical analysis (65-XX) 30 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 14 Statistical mechanics, structure of matter (82-XX) 5 Optics, electromagnetic theory (78-XX) 4 Computer science (68-XX) 3 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 865 times in 492 Documents Cited by ▼ Year ▼ A conservative high order semi-Lagrangian WENO method for the Vlasov equation. Zbl 1188.82069Qiu, Jing-Mei; Christlieb, Andrew 70 2010 High accuracy solutions to energy gradient flows from material science models. Zbl 1349.65510Christlieb, Andrew; Jones, Jaylan; Promislow, Keith; Wetton, Brian; Willoughby, Mark 48 2014 Integral deferred correction methods constructed with high order Runge-Kutta integrators. Zbl 1209.65073Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 47 2010 Parallel high-order integrators. Zbl 1211.65089Christlieb, Andrew J.; MacDonald, Colin B.; Ong, Benjamin W. 46 2010 Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. Zbl 1218.65085Shen, Chaopeng; Qiu, Jing-Mei; Christlieb, Andrew 38 2011 High-order multiderivative time integrators for hyperbolic conservation laws. Zbl 1304.65223Seal, David C.; Güçlü, Yaman; Christlieb, Andrew J. 35 2014 Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 32 2014 A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. Zbl 1349.76443Christlieb, Andrew; Guo, Wei; Morton, Maureen; Qiu, Jing-Mei 31 2014 High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. Zbl 1351.76193Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu; Christlieb, Andrew 30 2014 High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. Zbl 1354.65164Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 28 2015 Explicit strong stability preserving multistage two-derivative time-stepping schemes. Zbl 1352.65289Christlieb, Andrew J.; Gottlieb, Sigal; Grant, Zachary; Seal, David C. 27 2016 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 27 2009 Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. Zbl 1329.76225Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 26 2015 Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 25 2014 Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. Zbl 1349.76442Christlieb, Andrew J.; Rossmanith, James A.; Tang, Qi 23 2014 A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations. Zbl 1349.76441Christlieb, Andrew J.; Feng, Xiao; Seal, David C.; Tang, Qi 18 2016 A parallel space-time algorithm. Zbl 1259.65143Christlieb, Andrew J.; Haynes, Ronald D.; Ong, Benjamin W. 18 2012 Method of lines transpose: an implicit solution to the wave equation. Zbl 1307.65122Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; van Groningen, Lee 17 2014 An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. Zbl 1380.65300Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 17 2017 A multiscale sub-linear time Fourier algorithm for noisy data. Zbl 1403.42006Christlieb, Andrew; Lawlor, David; Wang, Yang 17 2016 Implicit parallel time integrators. Zbl 1243.65076Christlieb, Andrew; Ong, Benjamin 15 2011 Arbitrarily high order convected scheme solution of the Vlasov-Poisson system. Zbl 1349.76609Güçlü, Yaman; Christlieb, Andrew J.; Hitchon, William N. G. 15 2014 High order operator splitting methods based on an integral deferred correction framework. Zbl 1349.65210Christlieb, Andrew J.; Liu, Yuan; Xu, Zhengfu 15 2015 Semi-implicit integral deferred correction constructed with additive Runge-Kutta methods. Zbl 1271.65109Christlieb, Andrew; Morton, Maureen; Ong, Benjamin; Qiu, Jing-Mei 15 2011 Method of lines transpose: high order L-stable \(\mathcal O(N)\) schemes for parabolic equations using successive convolution. Zbl 1339.65199Causley, Matthew F.; Cho, Hana; Christlieb, Andrew J.; Seal, David C. 14 2016 An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations. Zbl 1383.76364Seal, David C.; Tang, Qi; Xu, Zhengfu; Christlieb, Andrew J. 13 2016 A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. Zbl 1394.76077Christlieb, Andrew J.; Feng, Xiao; Jiang, Yan; Tang, Qi 13 2018 A WENO-based method of lines transpose approach for Vlasov simulations. Zbl 1422.65432Christlieb, Andrew; Guo, Wei; Jiang, Yan 11 2016 Higher order A-stable schemes for the wave equation using a successive convolution approach. Zbl 1303.65078Causley, Matthew F.; Christlieb, Andrew J. 10 2014 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 10 2015 A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. Zbl 1431.65253Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew 10 2019 The Picard integral formulation of weighted essentially nonoscillatory schemes. Zbl 1317.65169Christlieb, Andrew J.; Güçlü, Yaman; Seal, David C. 9 2015 On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. Zbl 1305.65250Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu 9 2013 Method of lines transpose: energy gradient flows using direct operator inversion for phase-field models. Zbl 1407.65155Causley, Matthew; Cho, Hana; Christlieb, Andrew 8 2017 Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. Zbl 1416.65343Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 6 2019 A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap. Zbl 1196.81012Christlieb, A. J.; Krasny, R.; Verboncoeur, J. P. 6 2004 Gridless DSMC. Zbl 1143.82330Olson, Spencer E.; Christlieb, Andrew J. 6 2008 Kernel based high order “explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. Zbl 1472.65107Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 5 2020 A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. Zbl 1373.76275Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; Bettencourt, Matthew 5 2016 Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability. Zbl 1351.78037Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 5 2015 Method of lines transpose: an efficient unconditionally stable solver for wave propagation. Zbl 1361.65070Causley, Matthew; Christlieb, Andrew; Wolf, Eric 4 2017 An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics. Zbl 1372.78023Cheng, Yingda; Christlieb, Andrew J.; Guo, Wei; Ong, Benjamin 4 2017 High-dimensional sparse Fourier algorithms. Zbl 1470.65226Choi, Bosu; Christlieb, Andrew; Wang, Yang 4 2021 Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure. Zbl 1522.65143Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 4 2022 Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith 4 2019 Kinetic description of flow past a micro-plate. Zbl 1115.76406Christlieb, Andrew J.; Hitchon, W. Nicholas G.; Boyd, Iain D.; Sun, Quanhua 3 2004 A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. Zbl 1451.65106Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 3 2019 The Broadwell model in a thin channel. Zbl 1160.76405Christlieb, Andrew J.; Rossmanith, James A.; Smereka, Peter 2 2004 A kernel based high order “explicit” unconditionally stable scheme for time dependent Hamilton-Jacobi equations. Zbl 07581570Christlieb, Andrew; Guo, Wei; Jiang, Yan 2 2019 Simulation of liquid metal droplets from field emission. Zbl 1164.74553VanderWyst, Anton; Christlieb, Andrew; Sussman, Mark; Boyd, Iain D. 2 2007 Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. Zbl 07508388Crockatt, Michael M.; Christlieb, Andrew J.; Hauck, Cory D. 2 2020 A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes. Zbl 1441.65084Christlieb, Andrew; Sands, William; Yang, Hyoseon 2 2020 Multiscale high-dimensional sparse Fourier algorithms for noisy data. Zbl 1496.65242Choi, Bosu; Christlieb, Andrew; Wang, Yang 2 2021 A new family of regularized kernels for the harmonic oscillator. Zbl 1378.65184Ong, Benjamin W.; Christlieb, Andrew J.; Quaife, Bryan D. 1 2017 A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. Zbl 1483.65130Cakir, Firat; Christlieb, Andrew; Jiang, Yan 1 2021 Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. Zbl 1504.65237Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 1 2023 Parallel algorithms for successive convolution. Zbl 1458.65122Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan 1 2021 An accurate kinetic scheme for 3D solution of the Boltzmann equation. Zbl 1182.76946Christlieb, Andrew J.; Hitchon, W. Nicholas G. 1 2003 Low-storage integral deferred correction methods for scientific computing. Zbl 1401.65004Crockatt, Michael M.; Christlieb, Andrew J. 1 2018 Machine learning moment closure models for the radiative transfer equation. II: Enforcing global hyperbolicity in gradient-based closures. Zbl 07705312Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.; Yong, Wen-An 1 2023 Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. Zbl 1504.65237Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 1 2023 Machine learning moment closure models for the radiative transfer equation. II: Enforcing global hyperbolicity in gradient-based closures. Zbl 07705312Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.; Yong, Wen-An 1 2023 Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure. Zbl 1522.65143Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 4 2022 High-dimensional sparse Fourier algorithms. Zbl 1470.65226Choi, Bosu; Christlieb, Andrew; Wang, Yang 4 2021 Multiscale high-dimensional sparse Fourier algorithms for noisy data. Zbl 1496.65242Choi, Bosu; Christlieb, Andrew; Wang, Yang 2 2021 A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. Zbl 1483.65130Cakir, Firat; Christlieb, Andrew; Jiang, Yan 1 2021 Parallel algorithms for successive convolution. Zbl 1458.65122Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan 1 2021 Kernel based high order “explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. Zbl 1472.65107Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 5 2020 Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. Zbl 07508388Crockatt, Michael M.; Christlieb, Andrew J.; Hauck, Cory D. 2 2020 A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes. Zbl 1441.65084Christlieb, Andrew; Sands, William; Yang, Hyoseon 2 2020 A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. Zbl 1431.65253Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew 10 2019 Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. Zbl 1416.65343Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 6 2019 Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith 4 2019 A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. Zbl 1451.65106Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 3 2019 A kernel based high order “explicit” unconditionally stable scheme for time dependent Hamilton-Jacobi equations. Zbl 07581570Christlieb, Andrew; Guo, Wei; Jiang, Yan 2 2019 A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. Zbl 1394.76077Christlieb, Andrew J.; Feng, Xiao; Jiang, Yan; Tang, Qi 13 2018 Low-storage integral deferred correction methods for scientific computing. Zbl 1401.65004Crockatt, Michael M.; Christlieb, Andrew J. 1 2018 An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. Zbl 1380.65300Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 17 2017 Method of lines transpose: energy gradient flows using direct operator inversion for phase-field models. Zbl 1407.65155Causley, Matthew; Cho, Hana; Christlieb, Andrew 8 2017 Method of lines transpose: an efficient unconditionally stable solver for wave propagation. Zbl 1361.65070Causley, Matthew; Christlieb, Andrew; Wolf, Eric 4 2017 An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics. Zbl 1372.78023Cheng, Yingda; Christlieb, Andrew J.; Guo, Wei; Ong, Benjamin 4 2017 A new family of regularized kernels for the harmonic oscillator. Zbl 1378.65184Ong, Benjamin W.; Christlieb, Andrew J.; Quaife, Bryan D. 1 2017 Explicit strong stability preserving multistage two-derivative time-stepping schemes. Zbl 1352.65289Christlieb, Andrew J.; Gottlieb, Sigal; Grant, Zachary; Seal, David C. 27 2016 A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations. Zbl 1349.76441Christlieb, Andrew J.; Feng, Xiao; Seal, David C.; Tang, Qi 18 2016 A multiscale sub-linear time Fourier algorithm for noisy data. Zbl 1403.42006Christlieb, Andrew; Lawlor, David; Wang, Yang 17 2016 Method of lines transpose: high order L-stable \(\mathcal O(N)\) schemes for parabolic equations using successive convolution. Zbl 1339.65199Causley, Matthew F.; Cho, Hana; Christlieb, Andrew J.; Seal, David C. 14 2016 An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations. Zbl 1383.76364Seal, David C.; Tang, Qi; Xu, Zhengfu; Christlieb, Andrew J. 13 2016 A WENO-based method of lines transpose approach for Vlasov simulations. Zbl 1422.65432Christlieb, Andrew; Guo, Wei; Jiang, Yan 11 2016 A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. Zbl 1373.76275Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; Bettencourt, Matthew 5 2016 High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. Zbl 1354.65164Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 28 2015 Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. Zbl 1329.76225Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 26 2015 High order operator splitting methods based on an integral deferred correction framework. Zbl 1349.65210Christlieb, Andrew J.; Liu, Yuan; Xu, Zhengfu 15 2015 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 10 2015 The Picard integral formulation of weighted essentially nonoscillatory schemes. Zbl 1317.65169Christlieb, Andrew J.; Güçlü, Yaman; Seal, David C. 9 2015 Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability. Zbl 1351.78037Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 5 2015 High accuracy solutions to energy gradient flows from material science models. Zbl 1349.65510Christlieb, Andrew; Jones, Jaylan; Promislow, Keith; Wetton, Brian; Willoughby, Mark 48 2014 High-order multiderivative time integrators for hyperbolic conservation laws. Zbl 1304.65223Seal, David C.; Güçlü, Yaman; Christlieb, Andrew J. 35 2014 Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 32 2014 A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. Zbl 1349.76443Christlieb, Andrew; Guo, Wei; Morton, Maureen; Qiu, Jing-Mei 31 2014 High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. Zbl 1351.76193Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu; Christlieb, Andrew 30 2014 Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 25 2014 Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. Zbl 1349.76442Christlieb, Andrew J.; Rossmanith, James A.; Tang, Qi 23 2014 Method of lines transpose: an implicit solution to the wave equation. Zbl 1307.65122Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; van Groningen, Lee 17 2014 Arbitrarily high order convected scheme solution of the Vlasov-Poisson system. Zbl 1349.76609Güçlü, Yaman; Christlieb, Andrew J.; Hitchon, William N. G. 15 2014 Higher order A-stable schemes for the wave equation using a successive convolution approach. Zbl 1303.65078Causley, Matthew F.; Christlieb, Andrew J. 10 2014 On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. Zbl 1305.65250Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu 9 2013 A parallel space-time algorithm. Zbl 1259.65143Christlieb, Andrew J.; Haynes, Ronald D.; Ong, Benjamin W. 18 2012 Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. Zbl 1218.65085Shen, Chaopeng; Qiu, Jing-Mei; Christlieb, Andrew 38 2011 Implicit parallel time integrators. Zbl 1243.65076Christlieb, Andrew; Ong, Benjamin 15 2011 Semi-implicit integral deferred correction constructed with additive Runge-Kutta methods. Zbl 1271.65109Christlieb, Andrew; Morton, Maureen; Ong, Benjamin; Qiu, Jing-Mei 15 2011 A conservative high order semi-Lagrangian WENO method for the Vlasov equation. Zbl 1188.82069Qiu, Jing-Mei; Christlieb, Andrew 70 2010 Integral deferred correction methods constructed with high order Runge-Kutta integrators. Zbl 1209.65073Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 47 2010 Parallel high-order integrators. Zbl 1211.65089Christlieb, Andrew J.; MacDonald, Colin B.; Ong, Benjamin W. 46 2010 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 27 2009 Gridless DSMC. Zbl 1143.82330Olson, Spencer E.; Christlieb, Andrew J. 6 2008 Simulation of liquid metal droplets from field emission. Zbl 1164.74553VanderWyst, Anton; Christlieb, Andrew; Sussman, Mark; Boyd, Iain D. 2 2007 A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap. Zbl 1196.81012Christlieb, A. J.; Krasny, R.; Verboncoeur, J. P. 6 2004 Kinetic description of flow past a micro-plate. Zbl 1115.76406Christlieb, Andrew J.; Hitchon, W. Nicholas G.; Boyd, Iain D.; Sun, Quanhua 3 2004 The Broadwell model in a thin channel. Zbl 1160.76405Christlieb, Andrew J.; Rossmanith, James A.; Smereka, Peter 2 2004 An accurate kinetic scheme for 3D solution of the Boltzmann equation. Zbl 1182.76946Christlieb, Andrew J.; Hitchon, W. Nicholas G. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 798 Authors 46 Christlieb, Andrew J. 30 Qiu, Jingmei 14 Guo, Wei 14 Seal, David C. 14 Shu, Chi-Wang 13 Cai, Xiaofeng 12 Cheng, Yingda 11 Hauck, Cory D. 11 Ong, Benjamin W. 10 Jiang, Yan 10 Xiong, Tao 9 Qiu, Jianxian 9 Schütz, Jochen 9 Speck, Robert 9 Wang, Cheng 9 Xu, Kun 9 Yang, Xiaofeng 8 Iwen, Mark A. 8 Ji, Xing 8 Shyy, Wei 8 Wu, Kailiang 8 Xu, Zhengfu 7 Li, Dong 7 Ni, Guoxi 7 Ruprecht, Daniel 7 Russo, Giovanni 7 Wise, Steven M. 7 Zhang, Yongtao 6 Balsara, Dinshaw S. 6 Gander, Martin Jakob 6 Gottlieb, Sigal 6 Grant, Zachary J. 6 Liu, Yuan 6 Promislow, Keith Steven 6 Torlo, Davide 6 Zhong, Xinghui 5 Abdi, Ali 5 Boscarino, Sebastiano 5 Farzi, Javad 5 Huang, Juntao 5 Krause, Rolf H. 5 Schroder, Jacob B. 5 Tang, Qi 5 Volkmer, Toni 5 Wang, Qi 5 Wang, Yi 5 Yang, Hyoseon 5 Zeifang, Jonas 5 Zhang, Mengping 5 Zhao, Fengxiang 4 Arbogast, Todd 4 Causley, Matthew F. 4 Chen, Wenbin 4 Crockatt, Michael M. 4 Falgout, Robert D. 4 Güçlü, Yaman 4 Huang, Chieh-Sen 4 Kämmerer, Lutz 4 Li, Jiequan 4 Minion, Michael L. 4 Moradi, Afsaneh 4 Öffner, Philipp 4 Ouyang, Jie 4 Plonka, Gerlind 4 Qu, Wenzhen 4 Wang, Yanli 4 Wetton, Brian R. 4 Zhang, Chenhui 3 Bittens, Sina Vanessa 3 Cao, Yong 3 Chacón, Luis 3 Cheng, Xinyu 3 Choi, Bosu 3 Dumbser, Michael 3 Fatone, Lorella 3 Feng, Wenqiang 3 Filbet, Francis 3 Funaro, Daniele 3 Halpern, Laurence 3 Hamon, François P. 3 Hitchon, William N. G. 3 Huang, Jingfang 3 Karasözen, Bülent 3 Kim, Philsu 3 Krahmer, Felix 3 Lapenta, Giovanni 3 Li, Ruo 3 Li, Yingzhe 3 Liu, Hongtao 3 Liu, Jun 3 Manzini, Gianmarco 3 Piao, Xiangfan 3 Quan, Chaoyu 3 Roberts, Luke F. 3 Rossmanith, James A. 3 Sands, William A. 3 Shirokoff, David 3 Sun, Yajuan 3 Tang, Tao 3 Uzunca, Murat ...and 698 more Authors all top 5 Cited in 83 Serials 149 Journal of Computational Physics 70 Journal of Scientific Computing 33 SIAM Journal on Scientific Computing 20 Computers and Fluids 15 Communications in Computational Physics 11 Journal of Computational and Applied Mathematics 11 SIAM Journal on Numerical Analysis 10 Applied Mathematics and Computation 10 Applied Numerical Mathematics 8 Computer Methods in Applied Mechanics and Engineering 8 Communications on Applied Mathematics and Computation 6 BIT 6 Numerische Mathematik 6 Numerical Algorithms 6 Computing and Visualization in Science 5 Computers & Mathematics with Applications 5 Advances in Computational Mathematics 4 International Journal of Computational Fluid Dynamics 4 Multiscale Modeling & Simulation 4 Communications in Applied Mathematics and Computational Science 4 Mathematics 3 Mathematics of Computation 3 Numerical Methods for Partial Differential Equations 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Applied Mathematics and Mechanics 2 ACM Transactions on Mathematical Software 2 Mathematics and Computers in Simulation 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Computer Mathematics 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 SIAM Journal on Applied Dynamical Systems 2 International Journal of Computational Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 SMAI Journal of Computational Mathematics 2 Sampling Theory, Signal Processing, and Data Analysis 1 Applicable Analysis 1 Computer Physics Communications 1 General Relativity and Gravitation 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Circuits, Systems, and Signal Processing 1 Computational Mechanics 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Applied and Computational Harmonic Analysis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 The Journal of Fourier Analysis and Applications 1 Arab Journal of Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Combustion Theory and Modelling 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Acta Numerica 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Numerical Mathematics: Theory, Methods and Applications 1 Axioms 1 Communications in Mathematics and Statistics 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 AIMS Mathematics 1 Electronic Research Archive all top 5 Cited in 32 Fields 429 Numerical analysis (65-XX) 216 Partial differential equations (35-XX) 210 Fluid mechanics (76-XX) 62 Statistical mechanics, structure of matter (82-XX) 16 Ordinary differential equations (34-XX) 16 Optics, electromagnetic theory (78-XX) 15 Computer science (68-XX) 11 Mechanics of deformable solids (74-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 5 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Citations by Year