Search Results - "Christlieb, Andrew J."

High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes by Christlieb, Andrew J., Liu, Yuan, Tang, Qi, Xu, Zhengfu

“…In this paper, we generalize the maximum-principle-preserving (MPP) flux limiting technique developed by Xu (2013) [20] to a class of high order finite volume…”
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An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations by Seal, David C., Tang, Qi, Xu, Zhengfu, Christlieb, Andrew J.

“…In this work we construct a high-order, single-stage, single-step positivity-preserving method for the compressible Euler equations. Space is discretized with…”
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Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure by Huang, Juntao, Cheng, Yingda, Christlieb, Andrew J., Roberts, Luke F.

“…In this paper, we take a data-driven approach and apply machine learning to the moment closure problem for the radiative transfer equation in slab geometry…”
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Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system by Cheng, Yingda, Christlieb, Andrew J., Zhong, Xinghui

“…In this paper, we generalize the idea in our previous work for the Vlasov–Ampère (VA) system (Y. Cheng, A.J. Christlieb, and X. Zhong (2014) [10]) and develop…”
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Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods by Crockatt, Michael M., Christlieb, Andrew J., Hauck, Cory D.

“…•Improved hybrid methods for time-dependent radiation transport calculations are considered.•A Nyström-type reconstruction is introduced to map between…”
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High order operator splitting methods based on an integral deferred correction framework by Christlieb, Andrew J., Liu, Yuan, Xu, Zhengfu

“…Integral deferred correction (IDC) methods have been shown to be an efficient way to achieve arbitrary high order accuracy and possess good stability…”
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Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics by Christlieb, Andrew J., Rossmanith, James A., Tang, Qi

“…In this work we develop a class of high-order finite difference weighted essentially non-oscillatory (FD-WENO) schemes for solving the ideal…”
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Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds by Huang, Juntao, Cheng, Yingda, Christlieb, Andrew J., Roberts, Luke F.

“…This is the third paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation. In our previous work…”
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Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system by Cheng, Yingda, Christlieb, Andrew J., Zhong, Xinghui

“…In this paper, we propose energy-conserving numerical schemes for the Vlasov–Ampère (VA) systems. The VA system is a model used to describe the evolution of…”
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An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction by Crockatt, Michael M., Christlieb, Andrew J., Garrett, C. Kristopher, Hauck, Cory D.

“…In this work, we describe the implementation of an arbitrarily high-order hybrid solver for linear, kinetic, radiative transport equations. The hybrid method…”
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Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes by Christlieb, Andrew J., Gottlieb, Sigal, Grant, Zachary, Seal, David C.

“…High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for…”
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A Particle-in-Cell Method for Plasmas with a Generalized Momentum Formulation, Part II: Enforcing the Lorenz Gauge Condition by Christlieb, Andrew J., Sands, William A., White, Stephen R.

“…In a previous paper Christlieb et al. (A particle-in-cell method for plasmas with a generalized momentum formulation, part I: Model formulation, 2024), we…”
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High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws by Seal, David C., Güçlü, Yaman, Christlieb, Andrew J.

“…Multiderivative time integrators have a long history of development for ordinary differential equations, and yet to date, only a small subset of these methods…”
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Hybrid methods for radiation transport using diagonally implicit Runge–Kutta and space–time discontinuous Galerkin time integration by Crockatt, Michael M., Christlieb, Andrew J., Garrett, C. Kristopher, Hauck, Cory D.

“…In this work, we describe extensions of a hybrid method for time-dependent linear, kinetic radiation transport problems to high-order time integration schemes…”
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Numerical study of the two-species Vlasov–Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability by Cheng, Yingda, Christlieb, Andrew J, Zhong, Xinghui

“…In this paper, we propose energy-conserving Eulerian solvers for the two-species Vlasov-Ampere (VA) system and apply the methods to simulate current-driven…”
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Parallel Algorithms for Successive Convolution by Christlieb, Andrew J., Guthrey, Pierson T., Sands, William A., Thavappiragasm, Mathialakan

“…The development of modern computing architectures with ever-increasing amounts of parallelism has allowed for the solution of previously intractable problems…”
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An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics by Cheng, Yingda, Christlieb, Andrew J., Guo, Wei, Ong, Benjamin

“…In plasma simulations, where the speed of light divided by a characteristic length is at a much higher frequency than other relevant parameters in the…”
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Arbitrarily high order Convected Scheme solution of the Vlasov–Poisson system by Güçlü, Yaman, Christlieb, Andrew J., Hitchon, William N.G.

“…The Convected Scheme (CS) is a ‘forward-trajectory’ semi-Lagrangian method for solution of transport equations, which has been most often applied to the…”
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HIGHER ORDER A-STABLE SCHEMES FOR THE WAVE EQUATION USING A SUCCESSIVE CONVOLUTION APPROACH by CAUSLEY, MATTHEW F., CHRISTLIEB, ANDREW J.

“…In several recent works, we developed a new second order, A-stable approach to wave propagation problems based on the method of lines transpose (MOLT)…”
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High Order Finite Difference WENO Schemes for Ideal Magnetohydrodynamics by Cakir, Firat, Christlieb, Andrew J., Jiang, Yan

“…In this work, we focus on the development of high-order numerical methods for the ideal magnetohydrodynamic (MHD) equations. Following the idea in [1], a…”
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