A Parallel Dynamic Asynchronous Framework for Uncertainty Quantification by Hierarchical Monte Carlo Algorithms Riccardo TosiRamon AmelaRiccardo Rossi OriginalPaper Open access 13 September 2021 Article: 28
An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics R. A. M. van GestelM. J. H. AnthonissenW. L. IJzerman OriginalPaper Open access 12 September 2021 Article: 27
Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem Lin MuXiu YeShangyou Zhang OriginalPaper 12 September 2021 Article: 26
Stochastic Gradient Descent with Polyak’s Learning Rate Mariana PrazeresAdam M. Oberman OriginalPaper 08 September 2021 Article: 25
Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations Binbin DuJianguo HuangHaibiao Zheng OriginalPaper 08 September 2021 Article: 24
Single Pass Computation of First Seismic Wave Travel Time in Three Dimensional Heterogeneous Media With General Anisotropy François DesquilbetJian CaoJean-Marie Mirebeau OriginalPaper 07 September 2021 Article: 23
Pseudospectral Roaming Contour Integral Methods for Convection-Diffusion Equations Nicola GuglielmiMaría López-FernándezMattia Manucci OriginalPaper Open access 07 September 2021 Article: 22
Traveling Wave Solutions of Partial Differential Equations Via Neural Networks Sung Woong ChoHyung Ju HwangHwijae Son OriginalPaper 02 September 2021 Article: 21
Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation Pietro BenedusiPaola FerrariStefano Serra-Capizzano OriginalPaper Open access 01 September 2021 Article: 20
Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems Marcella BonazzoliXavier ClaeysPierre-Henri Tournier OriginalPaper 31 August 2021 Article: 19
The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus Yang LiuBaoli YinZhimin Zhang OriginalPaper 30 August 2021 Article: 18
Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs Jea-Hyun ParkAbner J. SalgadoSteven M. Wise OriginalPaper 28 August 2021 Article: 17
Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation Mehdi DehghanZeinab Gharibi OriginalPaper 28 August 2021 Article: 16
On the Backward Error Incurred by the Compact Rational Krylov Linearization Hongjia ChenKuan Xu OriginalPaper 25 August 2021 Article: 15
Numerical Analysis of a Model of Two Phase Compressible Fluid Flow Eduard FeireislMădălina PetcuBangwei She OriginalPaper 25 August 2021 Article: 14
Fast IIF–WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection–Diffusion–Reaction Equations Huan-Yan JianTing-Zhu HuangYong-Liang Zhao OriginalPaper 25 August 2021 Article: 13
Projection Method for Saddle Points of Energy Functional in \(H^{-1}\) Metric Shuting GuLing LinXiang Zhou OriginalPaper 25 August 2021 Article: 12
Optimal Runge-Kutta Stability Polynomials for Multidimensional High-Order Methods Siavash Hedayati NasabCarlos A. PereiraBrian C. Vermeire OriginalPaper 24 August 2021 Article: 11
Quasi-Toeplitz Trigonometric Transform Splitting Methods for Spatial Fractional Diffusion Equations Xin-Hui ShaoYu-Han LiHai-Long Shen OriginalPaper 22 August 2021 Article: 10
A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn–Hilliard Phase-Field System Based on Cut Finite Elements Efthymios N. KaratzasGianluigi Rozza OriginalPaper 21 August 2021 Article: 9
Mixed Finite Element Method for a Hemivariational Inequality of Stationary Navier–Stokes Equations Weimin HanKenneth CzuprynskiFeifei Jing OriginalPaper 21 August 2021 Article: 8
High-Order Bound-Preserving Finite Difference Methods for Incompressible Wormhole Propagation Xinyuan LiuYang YangHui Guo OriginalPaper 19 August 2021 Article: 7
Decomposition of Longitudinal Deformations via Beltrami Descriptors Ho LawChun Yin SiuLok Ming LUI OriginalPaper 18 August 2021 Article: 6
On the Choice of Robin Parameters for the Optimized Schwarz Method for Domains with Non-Conforming Heterogeneities Yaguang GuFelix Kwok OriginalPaper 18 August 2021 Article: 5
Variance-Based Subgradient Extragradient Method for Stochastic Variational Inequality Problems Zhen-Ping YangJin ZhangGui-Hua Lin OriginalPaper 18 August 2021 Article: 4
A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background Philippe G. LeFlochCarlos ParésErnesto Pimentel-García OriginalPaper Open access 16 August 2021 Article: 3
A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems David A. KoprivaGregor J. Gassner OriginalPaper 16 August 2021 Article: 2
A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media Liliana BorceaVladimir DruskinJörn Zimmerling OriginalPaper 16 August 2021 Article: 1