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: 76 Publications since 2003, including 9 Additional arXiv Preprints Software Indexed: 1 Package Co-Authors: 72 Co-Authors with 75 Joint Publications 1,643 Co-Co-Authors all top 5 Co-Authors 0 single-authored 10 Ong, Benjamin W. 9 Qiu, Jingmei 7 Causley, Matthew F. 7 Cheng, Yingda 7 Guo, Wei 7 Jiang, Yan 7 Yang, Hyoseon 6 Seal, David C. 6 Tang, Qi 6 Xu, Zhengfu 5 Crockatt, Michael M. 5 Huang, Juntao 5 Sands, William A. 4 Guclu, Yaman 4 Hauck, Cory D. 3 Liu, Yuan 3 Promislow, Keith Steven 3 Roberts, Luke F. 3 Rossmanith, James A. 3 Wolf, Eric M. 3 Zhong, Xinghui 2 Boyd, Iain D. 2 Cho, Hana 2 Choi, Bosu 2 Ding, Mingchang 2 Feng, Xiao 2 Garrett, C. Kristopher 2 Guthrey, Pierson T. 2 Hitchon, W. Nicholas G. 2 Lawlor, David 2 Macdonald, Colin B. 2 Morton, Maureen 2 Olson, Spencer E. 2 Wang, Yang 1 Bauerle, Matthew 1 Bettencourt, Matthew T. 1 Cakir, Firat 1 Chang, Ruimeng 1 Fatemi, Fredrik K. 1 Gong, Sining 1 Gottlieb, Sigal 1 Grant, Zachary J. 1 Haynes, Ronald D. 1 Hitchon, William N. G. 1 Iwen, Mark A. 1 Jones, Jaylan 1 Kraitzman, Noa 1 Krasny, Robert 1 Krupansky, Nicholas A. 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 White, Stephen R. 1 Willoughby, Mark R. 1 Xiong, Tao 1 Yong, Wen-An 1 Zhang, Mengping 1 Zhang, Ruochuan 1 Zheng, Nanyi all top 5 Serials 26 Journal of Computational Physics 11 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 65 Numerical analysis (65-XX) 31 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 6 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-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) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 1,030 times in 605 Documents Cited by ▼ Year ▼ A conservative high order semi-Lagrangian WENO method for the Vlasov equation. Zbl 1188.82069 Qiu, Jing-Mei; Christlieb, Andrew 77 2010 High accuracy solutions to energy gradient flows from material science models. Zbl 1349.65510 Christlieb, Andrew; Jones, Jaylan; Promislow, Keith; Wetton, Brian; Willoughby, Mark 57 2014 Parallel high-order integrators. Zbl 1211.65089 Christlieb, Andrew J.; MacDonald, Colin B.; Ong, Benjamin W. 54 2010 Integral deferred correction methods constructed with high order Runge-Kutta integrators. Zbl 1209.65073 Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 53 2010 High-order multiderivative time integrators for hyperbolic conservation laws. Zbl 1304.65223 Seal, David C.; Güçlü, Yaman; Christlieb, Andrew J. 49 2014 Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. Zbl 1218.65085 Shen, Chaopeng; Qiu, Jing-Mei; Christlieb, Andrew 40 2011 Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030 Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 40 2014 Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. Zbl 1329.76225 Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 33 2015 High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. Zbl 1354.65164 Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 33 2015 Explicit strong stability preserving multistage two-derivative time-stepping schemes. Zbl 1352.65289 Christlieb, Andrew J.; Gottlieb, Sigal; Grant, Zachary; Seal, David C. 32 2016 High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. Zbl 1351.76193 Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu; Christlieb, Andrew 32 2014 Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. Zbl 1349.76442 Christlieb, Andrew J.; Rossmanith, James A.; Tang, Qi 32 2014 A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. Zbl 1349.76443 Christlieb, Andrew; Guo, Wei; Morton, Maureen; Qiu, Jing-Mei 31 2014 Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053 Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 30 2014 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389 Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 30 2009 A parallel space-time algorithm. Zbl 1259.65143 Christlieb, Andrew J.; Haynes, Ronald D.; Ong, Benjamin W. 23 2012 A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations. Zbl 1349.76441 Christlieb, Andrew J.; Feng, Xiao; Seal, David C.; Tang, Qi 21 2016 An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. Zbl 1380.65300 Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 21 2017 A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. Zbl 1394.76077 Christlieb, Andrew J.; Feng, Xiao; Jiang, Yan; Tang, Qi 19 2018 Semi-implicit integral deferred correction constructed with additive Runge-Kutta methods. Zbl 1271.65109 Christlieb, Andrew; Morton, Maureen; Ong, Benjamin; Qiu, Jing-Mei 17 2011 High order operator splitting methods based on an integral deferred correction framework. Zbl 1349.65210 Christlieb, Andrew J.; Liu, Yuan; Xu, Zhengfu 17 2015 Method of lines transpose: an implicit solution to the wave equation. Zbl 1307.65122 Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; van Groningen, Lee 17 2014 A multiscale sub-linear time Fourier algorithm for noisy data. Zbl 1403.42006 Christlieb, Andrew; Lawlor, David; Wang, Yang 16 2016 Method of lines transpose: high order L-stable \(\mathcal O(N)\) schemes for parabolic equations using successive convolution. Zbl 1339.65199 Causley, Matthew F.; Cho, Hana; Christlieb, Andrew J.; Seal, David C. 16 2016 Implicit parallel time integrators. Zbl 1243.65076 Christlieb, Andrew; Ong, Benjamin 16 2011 An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations. Zbl 1383.76364 Seal, David C.; Tang, Qi; Xu, Zhengfu; Christlieb, Andrew J. 15 2016 Arbitrarily high order convected scheme solution of the Vlasov-Poisson system. Zbl 1349.76609 Güçlü, Yaman; Christlieb, Andrew J.; Hitchon, William N. G. 15 2014 On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. Zbl 1305.65250 Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu 14 2013 A WENO-based method of lines transpose approach for Vlasov simulations. Zbl 1422.65432 Christlieb, Andrew; Guo, Wei; Jiang, Yan 11 2016 Higher order A-stable schemes for the wave equation using a successive convolution approach. Zbl 1303.65078 Causley, Matthew F.; Christlieb, Andrew J. 11 2014 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110 Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 11 2015 The Picard integral formulation of weighted essentially nonoscillatory schemes. Zbl 1317.65169 Christlieb, Andrew J.; Güçlü, Yaman; Seal, David C. 10 2015 Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. Zbl 1416.65343 Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 10 2019 A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. Zbl 1431.65253 Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew 10 2019 A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap. Zbl 1196.81012 Christlieb, A. J.; Krasny, R.; Verboncoeur, J. P. 9 2004 Gridless DSMC. Zbl 1143.82330 Olson, Spencer E.; Christlieb, Andrew J. 8 2008 Method of lines transpose: energy gradient flows using direct operator inversion for phase-field models. Zbl 1407.65155 Causley, Matthew; Cho, Hana; Christlieb, Andrew 8 2017 Kernel based high order “explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. Zbl 1472.65107 Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 8 2020 Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096 Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith 8 2019 A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. Zbl 1373.76275 Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; Bettencourt, Matthew 7 2016 Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. Zbl 07508388 Crockatt, Michael M.; Christlieb, Andrew J.; Hauck, Cory D. 6 2020 Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability. Zbl 1351.78037 Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 6 2015 Method of lines transpose: an efficient unconditionally stable solver for wave propagation. Zbl 1361.65070 Causley, Matthew; Christlieb, Andrew; Wolf, Eric 5 2017 An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics. Zbl 1372.78023 Cheng, Yingda; Christlieb, Andrew J.; Guo, Wei; Ong, Benjamin 5 2017 Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure. Zbl 1522.65143 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 5 2022 A kernel based high order “explicit” unconditionally stable scheme for time dependent Hamilton-Jacobi equations. Zbl 1548.65177 Christlieb, Andrew; Guo, Wei; Jiang, Yan 5 2019 Kinetic description of flow past a micro-plate. Zbl 1115.76406 Christlieb, Andrew J.; Hitchon, W. Nicholas G.; Boyd, Iain D.; Sun, Quanhua 4 2004 A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. Zbl 1451.65106 Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 4 2019 High-dimensional sparse Fourier algorithms. Zbl 1470.65226 Choi, Bosu; Christlieb, Andrew; Wang, Yang 4 2021 The Broadwell model in a thin channel. Zbl 1160.76405 Christlieb, Andrew J.; Rossmanith, James A.; Smereka, Peter 2 2004 Simulation of liquid metal droplets from field emission. Zbl 1164.74553 VanderWyst, Anton; Christlieb, Andrew; Sussman, Mark; Boyd, Iain D. 2 2007 Machine learning moment closure models for the radiative transfer equation. II: Enforcing global hyperbolicity in gradient-based closures. Zbl 1531.65107 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.; Yong, Wen-An 2 2023 A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes. Zbl 1441.65084 Christlieb, Andrew; Sands, William; Yang, Hyoseon 2 2020 Multiscale high-dimensional sparse Fourier algorithms for noisy data. Zbl 1496.65242 Choi, Bosu; Christlieb, Andrew; Wang, Yang 2 2021 An accurate kinetic scheme for 3D solution of the Boltzmann equation. Zbl 1182.76946 Christlieb, Andrew J.; Hitchon, W. Nicholas G. 1 2003 A new family of regularized kernels for the harmonic oscillator. Zbl 1378.65184 Ong, Benjamin W.; Christlieb, Andrew J.; Quaife, Bryan D. 1 2017 Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. Zbl 1504.65237 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 1 2023 Low-storage integral deferred correction methods for scientific computing. Zbl 1401.65004 Crockatt, Michael M.; Christlieb, Andrew J. 1 2018 Parallel algorithms for successive convolution. Zbl 1458.65122 Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan 1 2021 A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. Zbl 1483.65130 Cakir, Firat; Christlieb, Andrew; Jiang, Yan 1 2021 Machine learning moment closure models for the radiative transfer equation. II: Enforcing global hyperbolicity in gradient-based closures. Zbl 1531.65107 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.; Yong, Wen-An 2 2023 Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. Zbl 1504.65237 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 1 2023 Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure. Zbl 1522.65143 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. 5 2022 High-dimensional sparse Fourier algorithms. Zbl 1470.65226 Choi, Bosu; Christlieb, Andrew; Wang, Yang 4 2021 Multiscale high-dimensional sparse Fourier algorithms for noisy data. Zbl 1496.65242 Choi, Bosu; Christlieb, Andrew; Wang, Yang 2 2021 Parallel algorithms for successive convolution. Zbl 1458.65122 Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan 1 2021 A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. Zbl 1483.65130 Cakir, Firat; Christlieb, Andrew; Jiang, Yan 1 2021 Kernel based high order “explicit” unconditionally stable scheme for nonlinear degenerate advection-diffusion equations. Zbl 1472.65107 Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 8 2020 Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods. Zbl 07508388 Crockatt, Michael M.; Christlieb, Andrew J.; Hauck, Cory D. 6 2020 A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes. Zbl 1441.65084 Christlieb, Andrew; Sands, William; Yang, Hyoseon 2 2020 Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration. Zbl 1416.65343 Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 10 2019 A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. Zbl 1431.65253 Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew 10 2019 Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096 Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith 8 2019 A kernel based high order “explicit” unconditionally stable scheme for time dependent Hamilton-Jacobi equations. Zbl 1548.65177 Christlieb, Andrew; Guo, Wei; Jiang, Yan 5 2019 A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. Zbl 1451.65106 Christlieb, Andrew; Guo, Wei; Jiang, Yan; Yang, Hyoseon 4 2019 A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes. Zbl 1394.76077 Christlieb, Andrew J.; Feng, Xiao; Jiang, Yan; Tang, Qi 19 2018 Low-storage integral deferred correction methods for scientific computing. Zbl 1401.65004 Crockatt, Michael M.; Christlieb, Andrew J. 1 2018 An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction. Zbl 1380.65300 Crockatt, Michael M.; Christlieb, Andrew J.; Garrett, C. Kristopher; Hauck, Cory D. 21 2017 Method of lines transpose: energy gradient flows using direct operator inversion for phase-field models. Zbl 1407.65155 Causley, Matthew; Cho, Hana; Christlieb, Andrew 8 2017 Method of lines transpose: an efficient unconditionally stable solver for wave propagation. Zbl 1361.65070 Causley, Matthew; Christlieb, Andrew; Wolf, Eric 5 2017 An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics. Zbl 1372.78023 Cheng, Yingda; Christlieb, Andrew J.; Guo, Wei; Ong, Benjamin 5 2017 A new family of regularized kernels for the harmonic oscillator. Zbl 1378.65184 Ong, Benjamin W.; Christlieb, Andrew J.; Quaife, Bryan D. 1 2017 Explicit strong stability preserving multistage two-derivative time-stepping schemes. Zbl 1352.65289 Christlieb, Andrew J.; Gottlieb, Sigal; Grant, Zachary; Seal, David C. 32 2016 A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations. Zbl 1349.76441 Christlieb, Andrew J.; Feng, Xiao; Seal, David C.; Tang, Qi 21 2016 A multiscale sub-linear time Fourier algorithm for noisy data. Zbl 1403.42006 Christlieb, Andrew; Lawlor, David; Wang, Yang 16 2016 Method of lines transpose: high order L-stable \(\mathcal O(N)\) schemes for parabolic equations using successive convolution. Zbl 1339.65199 Causley, Matthew F.; Cho, Hana; Christlieb, Andrew J.; Seal, David C. 16 2016 An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations. Zbl 1383.76364 Seal, David C.; Tang, Qi; Xu, Zhengfu; Christlieb, Andrew J. 15 2016 A WENO-based method of lines transpose approach for Vlasov simulations. Zbl 1422.65432 Christlieb, 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 1373.76275 Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; Bettencourt, Matthew 7 2016 Positivity-preserving finite difference weighted ENO schemes with constrained transport for ideal magnetohydrodynamic equations. Zbl 1329.76225 Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 33 2015 High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. Zbl 1354.65164 Christlieb, Andrew J.; Liu, Yuan; Tang, Qi; Xu, Zhengfu 33 2015 High order operator splitting methods based on an integral deferred correction framework. Zbl 1349.65210 Christlieb, Andrew J.; Liu, Yuan; Xu, Zhengfu 17 2015 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110 Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 11 2015 The Picard integral formulation of weighted essentially nonoscillatory schemes. Zbl 1317.65169 Christlieb, Andrew J.; Güçlü, Yaman; Seal, David C. 10 2015 Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability. Zbl 1351.78037 Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 6 2015 High accuracy solutions to energy gradient flows from material science models. Zbl 1349.65510 Christlieb, Andrew; Jones, Jaylan; Promislow, Keith; Wetton, Brian; Willoughby, Mark 57 2014 High-order multiderivative time integrators for hyperbolic conservation laws. Zbl 1304.65223 Seal, David C.; Güçlü, Yaman; Christlieb, Andrew J. 49 2014 Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. Zbl 1349.78030 Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 40 2014 High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. Zbl 1351.76193 Xiong, Tao; Qiu, Jing-Mei; Xu, Zhengfu; Christlieb, Andrew 32 2014 Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. Zbl 1349.76442 Christlieb, Andrew J.; Rossmanith, James A.; Tang, Qi 32 2014 A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. Zbl 1349.76443 Christlieb, Andrew; Guo, Wei; Morton, Maureen; Qiu, Jing-Mei 31 2014 Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. Zbl 1351.76053 Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui 30 2014 Method of lines transpose: an implicit solution to the wave equation. Zbl 1307.65122 Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; van Groningen, Lee 17 2014 Arbitrarily high order convected scheme solution of the Vlasov-Poisson system. Zbl 1349.76609 Güçlü, 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 1303.65078 Causley, Matthew F.; Christlieb, Andrew J. 11 2014 On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. Zbl 1305.65250 Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu 14 2013 A parallel space-time algorithm. Zbl 1259.65143 Christlieb, Andrew J.; Haynes, Ronald D.; Ong, Benjamin W. 23 2012 Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. Zbl 1218.65085 Shen, Chaopeng; Qiu, Jing-Mei; Christlieb, Andrew 40 2011 Semi-implicit integral deferred correction constructed with additive Runge-Kutta methods. Zbl 1271.65109 Christlieb, Andrew; Morton, Maureen; Ong, Benjamin; Qiu, Jing-Mei 17 2011 Implicit parallel time integrators. Zbl 1243.65076 Christlieb, Andrew; Ong, Benjamin 16 2011 A conservative high order semi-Lagrangian WENO method for the Vlasov equation. Zbl 1188.82069 Qiu, Jing-Mei; Christlieb, Andrew 77 2010 Parallel high-order integrators. Zbl 1211.65089 Christlieb, Andrew J.; MacDonald, Colin B.; Ong, Benjamin W. 54 2010 Integral deferred correction methods constructed with high order Runge-Kutta integrators. Zbl 1209.65073 Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 53 2010 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389 Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 30 2009 Gridless DSMC. Zbl 1143.82330 Olson, Spencer E.; Christlieb, Andrew J. 8 2008 Simulation of liquid metal droplets from field emission. Zbl 1164.74553 VanderWyst, Anton; Christlieb, Andrew; Sussman, Mark; Boyd, Iain D. 2 2007 A treecode algorithm for simulating electron dynamics in a Penning-Malmberg trap. Zbl 1196.81012 Christlieb, A. J.; Krasny, R.; Verboncoeur, J. P. 9 2004 Kinetic description of flow past a micro-plate. Zbl 1115.76406 Christlieb, Andrew J.; Hitchon, W. Nicholas G.; Boyd, Iain D.; Sun, Quanhua 4 2004 The Broadwell model in a thin channel. Zbl 1160.76405 Christlieb, Andrew J.; Rossmanith, James A.; Smereka, Peter 2 2004 An accurate kinetic scheme for 3D solution of the Boltzmann equation. Zbl 1182.76946 Christlieb, Andrew J.; Hitchon, W. Nicholas G. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 987 Authors 48 Christlieb, Andrew J. 32 Qiu, Jingmei 17 Shu, Chi-Wang 16 Guo, Wei 15 Schütz, Jochen 15 Seal, David C. 13 Cai, Xiaofeng 13 Cheng, Yingda 13 Hauck, Cory D. 13 Wu, Kailiang 12 Jiang, Yan 11 Ong, Benjamin W. 11 Speck, Robert 11 Xiong, Tao 10 Promislow, Keith Steven 10 Qiu, Jianxian 10 Wang, Cheng 10 Xu, Kun 10 Yang, Xiaofeng 9 Ji, Xing 9 Shyy, Wei 9 Wise, Steven M. 8 Abdi, Ali 8 Iwen, Mark A. 8 Ruprecht, Daniel 8 Xu, Zhengfu 8 Zhang, Yongtao 7 Li, Dong 7 Moradi, Afsaneh 7 Ni, Guoxi 7 Russo, Giovanni 7 Torlo, Davide 7 Zhong, Xinghui 6 Balsara, Dinshaw S. 6 Gander, Martin Jakob 6 Gottlieb, Sigal 6 Grant, Zachary J. 6 Li, Jiequan 6 Liu, Yuan 6 Yang, Hyoseon 6 Zhang, Mengping 6 Zhao, Fengxiang 5 Boscarino, Sebastiano 5 Chen, Wenbin 5 Delzanno, Gian Luca 5 Farzi, Javad 5 Hojjati, Gholamreza 5 Huang, Juntao 5 Krause, Rolf H. 5 Minion, Michael L. 5 Qu, Wenzhen 5 Schroder, Jacob B. 5 Tang, Qi 5 Volkmer, Toni 5 Wang, Qi 5 Wang, Yanli 5 Wang, Yi 5 Zeifang, Jonas 4 Arbogast, Todd 4 Cai, Jinsheng 4 Cao, Yong 4 Causley, Matthew F. 4 Crockatt, Michael M. 4 Crouseilles, Nicolas 4 Falgout, Robert D. 4 Feng, Wenqiang 4 Garai, Gobinda 4 Huang, Chieh-Sen 4 Kämmerer, Lutz 4 Li, Ruo 4 Liu, Hongtao 4 Mandal, Bankim C. 4 Manzini, Gianmarco 4 Öffner, Philipp 4 Ouyang, Jie 4 Plonka, Gerlind 4 Sands, William A. 4 Song, Songhe 4 Wetton, Brian R. 4 Xu, Xiao 4 Yang, Yang 4 Zhang, Chenhui 4 Zhang, Hong 3 Bittens, Sina Vanessa 3 Boscheri, Walter 3 Buvoli, Tommaso 3 Chacón, Luis 3 Chen, Jiajie 3 Chen, Yuan 3 Cheng, Xinyu 3 Choi, Bosu 3 Chouchoulis, Jeremy 3 Dai, Shibin 3 Dumbser, Michael 3 Einkemmer, Lukas 3 Fatone, Lorella 3 Filbet, Francis 3 Funaro, Daniele 3 Halpern, Laurence 3 Hamon, François P. ...and 887 more Authors all top 5 Cited in 101 Serials 167 Journal of Computational Physics 79 Journal of Scientific Computing 42 SIAM Journal on Scientific Computing 23 Computers and Fluids 18 Communications in Computational Physics 13 Journal of Computational and Applied Mathematics 12 SIAM Journal on Numerical Analysis 12 Applied Numerical Mathematics 12 Communications on Applied Mathematics and Computation 11 Applied Mathematics and Computation 10 Computer Methods in Applied Mechanics and Engineering 9 Computers & Mathematics with Applications 8 Numerical Algorithms 7 Computer Physics Communications 7 Computational and Applied Mathematics 6 BIT 6 Numerische Mathematik 6 Numerical Methods for Partial Differential Equations 6 Advances in Computational Mathematics 6 Computing and Visualization in Science 5 Communications in Applied Mathematics and Computational Science 4 International Journal of Computational Fluid Dynamics 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Applied Mathematics and Mechanics 4 Mathematics 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 International Journal for Numerical Methods in Engineering 3 Mathematics and Computers in Simulation 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Mathematical Modelling and Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Journal of Computational Physics: X 2 International Journal for Numerical Methods in Fluids 2 ACM Transactions on Mathematical Software 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Journal on Mathematical Analysis 2 Numerical Linear Algebra with Applications 2 Mathematical Problems in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 SIAM Journal on Applied Dynamical Systems 2 International Journal of Computational Methods 2 SMAI Journal of Computational Mathematics 2 Sampling Theory, Signal Processing, and Data Analysis 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 General Relativity and Gravitation 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 SIAM Review 1 Journal of Dynamics and Differential Equations 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 The ANZIAM Journal 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 Numerical 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 Oberwolfach Reports 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 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 ...and 1 more Serials all top 5 Cited in 34 Fields 519 Numerical analysis (65-XX) 263 Partial differential equations (35-XX) 257 Fluid mechanics (76-XX) 73 Statistical mechanics, structure of matter (82-XX) 19 Computer science (68-XX) 18 Ordinary differential equations (34-XX) 17 Optics, electromagnetic theory (78-XX) 14 Mechanics of deformable solids (74-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Biology and other natural sciences (92-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 9 Information and communication theory, circuits (94-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Astronomy and astrophysics (85-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-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 Systems theory; control (93-XX) Citations by Year