Generalization Error in the Deep Ritz Method with Smooth Activation Functions

by Janne Siipola, CiCP 35 (2024), pp. 761-815.

Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

by Jingfeng Wang & Guanghui Hu, CiCP 35 (2024), pp. 579-608.

The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

by Massimo Frittelli, Anotida Madzvamuse & Ivonne Sgura, CiCP 33 (2023), pp. 733-763.

Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows

by S. A. Hosseini, B. Dorschner & I. V. Karlin, CiCP 33 (2023), pp. 39-56.

Partitioned and Monolithic Algorithms for the Numerical Solution of Cardiac Fluid-Structure Interaction

by Michele Bucelli, Luca Dede, Alfio Quarteroni & Christian Vergara, CiCP 32 (2022), pp. 1217-1256.

A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

by Xucheng Meng & Guanghui Hu, CiCP 32 (2022), pp. 490-523.

Random Batch Particle Methods for the Homogeneous Landau Equation

by José Antonio Carrillo, Shi Jin & Yijia Tang, CiCP 31 (2022), pp. 997-1019.

A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

by Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang & Steven M. Wise, CiCP 31 (2022), pp. 60-93.

On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

by Yana Di, Guanghui Hu, Ruo Li & Feng Yang, CiCP 29 (2021), pp. 445-471.

A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

by Maurice S. Fabien, CiCP 27 (2020), pp. 513-545.

Modelling Thermo-Electro-Mechanical Effects in Orthotropic Cardiac Tissue

by Ricardo Ruiz-Baier, Alessio Gizzi, Alessandro Loppini, Christian Cherubini & Simonetta Filippi, CiCP 27 (2020), pp. 87-115.

A Kernel-Independent Treecode Based on Barycentric Lagrange Interpolation

by Lei Wang, Robert Krasny & Svetlana Tlupova, CiCP 28 (2020), pp. 1415-1436.

Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

by Feng Bao, Richard Archibald & Peter Maksymovych, CiCP 27 (2020), pp. 589-618.

Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations

by Stephan Gerster & Michael Herty, CiCP 27 (2020), pp. 639-671.

Real-Time Diffusion Monte Carlo Method

by Ilkka Ruokosenmäki & Tapio T. Rantala, CiCP 25 (2019), pp. 347-360.

Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty

by José Antonio Carrillo, Lorenzo Pareschi & Mattia Zanella, CiCP 25 (2019), pp. 508-531.

Optimizing Atomic Structures Through Geno-Mathematical Programming

by Antti Lahti, Ralf Östermark & Kalevi Kokko, CiCP 25 (2019), pp. 911-927.

Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields Using Convolutional Neural Networks

by Carlos Michelén Ströfer, Jin-Long Wu, Heng Xiao & Eric Paterson, CiCP 25 (2019), pp. 625-650.

Study of Simulation Cell Size in Mean-Field Studies of Interacting Lattice Models

by Yueguang Shi & Warren E. Pickett, CiCP 25 (2019), pp. 651-668.

Fast Distance Fields for Fluid Dynamics Mesh Generation on Graphics Hardware

by Alo Roosing, Oliver Strickson & Nikos Nikiforakis, CiCP 26 (2019), pp. 654-680.

Model Reduction with Memory and the Machine Learning of Dynamical Systems

by Chao Ma, Jianchun Wang & Weinan E, CiCP 25 (2019), pp. 947-962.

Finding the Origin of Noise Transients in LIGO Data with Machine Learning

by Marco Cavaglià, Kai Staats & Teerth Gill, CiCP 25 (2019), pp. 963-987.

The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

by Zhennan Zhou & Giovanni Russo, CiCP 26 (2019), pp. 469-505.

Quantum Annealing with Anneal Path Control: Application to 2-SAT Problems with Known Energy Landscapes

by Ting-Jui Hsu, Fengping Jin, Christian Seidel, Florian Neukart, Hans De Raedt & Kristel Michielsen, CiCP 26 (2019), pp. 928-946.

Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

by Philippe Angot & Rima Cheaytou, CiCP 26 (2019), pp. 1008-1038.

Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

by M. Azaïez, T. Chacón Rebollo, E. Perracchione & J. M. Vega, CiCP 24 (2018), pp. 1556-1578.

Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

by Tao Tang, Huifang Yuan & Tao Zhou, CiCP 24 (2018), pp. 1143-1168.

Computational Software: Polymer Chain Generation for Coarse-Grained Models Using Radical-Like Polymerization

by Morgane Mahaud, Zengqiang Zhai, Michel Perez, Olivier Lame, Claudio Fusco, Laurent Chazeau, Ali Makke, Grégory Marque & Julien Morthomas, CiCP 24 (2018), pp. 885-898.

GenEx: A Simple Generator Structure for Exclusive Processes in High Energy Collisions

by R. A. Kycia, J. Chwastowski, R. Staszewski & J. Turnau, CiCP 24 (2018), pp. 860-884.

Development of Finite Element Field Solver in Gyrokinetic Toroidal Code

by Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao & Ding Li, CiCP 24 (2018), pp. 655-671.

Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

by Jie Shen & Jie Xu, CiCP 24 (2018), pp. 635-654.

Deep Potential: A General Representation of a Many-Body Potential Energy Surface

by Jiequn Han, Linfeng Zhang, Roberto Car & Weinan E, CiCP 23 (2018), pp. 629-639.

Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

by Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du, CiCP 21 (2017), pp. 16-39.

DASHMM: Dynamic Adaptive System for Hierarchical Multipole Methods

by J. DeBuhr, B. Zhang, A. Tsueda, V. Tilstra-Smith & T. Sterling, CiCP 20 (2016), pp. 1106-1126.

Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

by Fuesheng Luo, Tao Tang & Hehu Xie, CiCP 19 (2016), pp. 1542-1563.

PVFMM: A Parallel Kernel Independent FMM for Particle and Volume Potentials

by Dhairya Malhotra & George Biros, CiCP 18 (2015), pp. 808-830.

Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation

by Zydrunas Gimbutas & Leslie Greengard, CiCP 18 (2015), pp. 516-528.

Review of Feynman's Path Integral in Quantum Statistics: From the Molecular Schrödinger Equation to Kleinert's Variational Perturbation Theory

by Kin-Yiu Wong, CiCP 15 (2014), pp. 853-894.

A Survey on Parallel Computing and Its Applications in Data-Parallel Problems Using GPU Architectures

by Cristóbal A. Navarro, Nancy Hitschfeld-Kahler & Luis Mateu, CiCP 15 (2014), pp. 285-329.

High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

by Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li & Yuqiu Gu, CiCP 13 (2013), pp. 1134-1150.

Numerical Methods for Fluid-Structure Interaction - A Review

by Gene Hou, Jin Wang & Anita Layton, CiCP 12 (2012), pp. 337-377.

Phase-Field Models for Multi-Component Fluid Flows

by Junseok Kim, CiCP 12 (2012), pp. 613-661.

High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems

by Xiaogang Deng, Meiliang Mao, Guohua Tu, Hanxin Zhang & Yifeng Zhang, CiCP 11 (2012), pp. 1081-1102.

A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art

by Remi Abgrall, CiCP 11 (2012), pp. 1043-1080.

Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

by M. J. Baines, M. E. Hubbard & P. K. Jimack, CiCP 10 (2011), pp. 509-576.

An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain

by Houde Han, Leevan Ling & Tomoya Takeuchi, CiCP 9 (2011), pp. 878-896.

Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries

by Gianluigi Rozza, CiCP 9 (2011), pp. 1-48.

The Work of David Gottlieb: A Success Story

by Bertil Gustafsson, CiCP 9 (2011), pp. 481-496.

Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

by Yan Xu & Chi-Wang Shu, CiCP 7 (2010), pp. 1-46.

Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

by Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle, CiCP 8 (2010), pp. 947-975.

Recent Developments in Numerical Techniques for Transport-Based Medical Imaging Methods

by Kui Ren, CiCP 8 (2010), pp. 1-50.

Alternating Minimization Method for Total Variation Based Wavelet Shrinkage Model

by Tieyong Zeng, Xiaolong Li & Michael Ng, CiCP 8 (2010), pp. 976-994.

Geometric Evolution Laws for Thin Crystalline Films: Modeling and Numerics

by Bo Li, John Lowengrub, Andreas Rätz & Axel Voigt, CiCP 6 (2009), pp. 433-482.

Challenges and Technologies in Reservoir Modeling

by Larisa V. Branets, Sartaj S. Ghai, Stephen L. Lyons & Xiao-Hui Wu, CiCP 6 (2009), pp. 1-23.

Point Sources Identification Problems for Heat Equations

by Leevan Ling & Tomoya Takeuchi, CiCP 5 (2009), pp. 897-913.

Marker-Based, 3-D Adaptive Cartesian Grid Method for Multiphase Flow Around Irregular Geometries

by Eray Uzgoren, Jaeheon Sim & Wei Shyy, CiCP 5 (2009), pp. 1-41.

A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

by Xavier Antoine, Anton Arnold, Christophe Besse, Matthias Ehrhardt & Achim Schädle, CiCP 4 (2008), pp. 729-796.

Recent Progress in Numerical Methods for the Poisson-Boltzmann Equation in Biophysical Applications

by B. Z. Lu, Y. C. Zhou, M. J. Holst & J. A. McCammon, CiCP 3 (2008), pp. 973-1009.

Birth, Survival and Death of Languages by Monte Carlo Simulation

by C. Schulze, D. Stauffer & S. Wichmann, CiCP 3 (2008), pp. 271-294.

Spectral-Element and Adjoint Methods in Seismology

by Jeroen Tromp, Dimitri Komatitsch & Qinya Liu, CiCP 3 (2008), pp. 1-32.

Heterogeneous Multiscale Methods: A Review

by W. E, B. Engquist, X. Li, W. Ren & E. Vanden-Eijnden, CiCP 2 (2007), pp. 367-450.

Finite Size Effects in the Dynamics of Opinion Formation

by R. Toral & C. J. Tessone, CiCP 2 (2007), pp. 177-195.

Recent Progress in Symplectic Algorithms for Use in Quantum Systems

by X. S. Liu, Y. Y. Qi, J. F. He & P. Z. Ding, CiCP 2 (2007), pp. 1-53.

Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes

by B. van Leer, CiCP 1 (2006), pp. 192-206.

Molecular Hydrodynamics of the Moving Contact Line in Two-Phase Immiscible Flows

by Tiezheng Qian, Xiao-Ping Wang & Ping Sheng, CiCP 1 (2006), pp. 1-52.