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Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-16 Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
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A New Positivity-Preserving Technique for High-Order Schemes to Solve Extreme Problems of Euler Equations on Structured Meshes J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-15 Yan Tan, Qiang Zhang, Jun Zhu
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A Second-Order Exponential Time Differencing Multi-step Energy Stable Scheme for Swift–Hohenberg Equation with Quadratic–Cubic Nonlinear Term J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-15 Ming Cui, Yiyi Niu, Zhen Xu
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Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-15 J. P. Thiele, T. Wick
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An iDCA with Sieving Strategy for PDE-Constrained Optimization Problems with $$L^{1-2}$$ -Control Cost J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-14 Yu Zhang, Xiaoliang Song, Bo Yu, Mingcai Ding
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Fast SVD-Based Linear Elastic Eigenvalue Problem Solver for Band Structures of 3D Phononic Crystals J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-11 Xing-Long Lyu, Heng Tian, Tiexiang Li, Wen-Wei Lin
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A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-11 Elena Zappon, Andrea Manzoni, Paola Gervasio, Alfio Quarteroni
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Pointwise Error Estimates of Numerical Solutions to Linear Quadratic Optimal Control Problems J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-11 S. Hofmann, A. Borzì
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The Nonconforming Virtual Element Method with Curved Edges J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-11
Abstract We introduce a nonconforming virtual element method for the Poisson problem on domains with fixed curved boundary and internal interfaces. We prove arbitrary order optimal convergence in the energy and \(L^2\) norms, and assess the theoretical results with numerical experiments. The proposed scheme has the upside that it can be designed and analyzed in any dimension.
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Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection–Diffusion–Reaction Equation J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-08 Shijin Hou, Yinhua Xia
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Variable-Order Fractional Laplacian and its Accurate and Efficient Computations with Meshfree Methods J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-05
Abstract The variable-order fractional Laplacian plays an important role in the study of heterogeneous systems. In this paper, we propose the first numerical methods for the variable-order Laplacian \((-\varDelta )^{\alpha (\textbf{x} )/2}\) with \(0 < \alpha (\textbf{x} ) \le 2\) , which will also be referred as the variable-order fractional Laplacian if \(\alpha (\textbf{x} )\) is strictly less than
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The Regularization Continuation Method for Optimization Problems with Nonlinear Equality Constraints J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-05
Abstract This paper considers the regularization continuation method and the trust-region updating strategy for the nonlinearly equality-constrained optimization problem. Namely, it uses the inverse of the regularization quasi-Newton matrix as the pre-conditioner and the Sherman–Morrison–Woodbury formula to improve its computational efficiency in the well-posed phase, and it adopts the inverse of the
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Active Flux Methods for Hyperbolic Systems Using the Method of Bicharacteristics J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-04 Erik Chudzik, Christiane Helzel, Mária Lukáčová-Medvid’ová
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A Convergent Numerical Algorithm for $$\alpha $$ -Dissipative Solutions of the Hunter–Saxton Equation J. Sci. Comput. (IF 2.5) Pub Date : 2024-03-02 Thomas Christiansen, Katrin Grunert, Anders Nordli, Susanne Solem
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Anderson Acceleration as a Krylov Method with Application to Convergence Analysis J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-28 Hans De Sterck, Yunhui He, Oliver A. Krzysik
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Low-Regularity Integrator for the Davey–Stewartson II System J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-26
Abstract We consider the Davey–Stewartson system in the hyperbolic–elliptic case (DS-II) in two dimensional case. It is a mass-critical equation, and was proved recently by Nachman et al. (Invent Math 220(2):395–451, 2020) the global well-posedness and scattering in \(L^2\) . In this paper, we give the numerical study on this model and construct a first order low-regularity integrator for the DS-II
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A Modified Rotated- $$Q_1$$ Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-26 Liwei Xu, Xuejun Xu, Shangyou Zhang
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Multi-Linear Pseudo-PageRank for Hypergraph Partitioning J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-26 Yannan Chen, Wen Li, Jingya Chang
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An Exponential Time Differencing Runge–Kutta Method ETDRK32 for Phase Field Models J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-26 Weichen Cao, Hengli Yang, Wenbin Chen
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An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-26 Xinyue Zhang, Liang Pan, Waixiang Cao
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Finite Difference Time Domain Methods for the Dirac Equation Coupled with the Chern–Simons Gauge Field J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-26 Jeongho Kim, Bora Moon
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Parallel Kinetic Schemes for Conservation Laws, with Large Time Steps J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-24
Abstract We propose a new parallel discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not require the assembly and resolution of large linear systems for the time iterations. The approach is based on a kinetic representation of the system of conservation
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Quantifying Measurement-Induced Disturbance to Distinguish Correlations as Classical or Quantum J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-23 Yu-Chen Shu, Bing-Ze Lu, Kui-Yo Chen, Matthew M. Lin
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Haar-Like Wavelets on Hierarchical Trees J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-22 Rick Archibald, Ben Whitney
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Transferable Neural Networks for Partial Differential Equations J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-21 Zezhong Zhang, Feng Bao, Lili Ju, Guannan Zhang
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Entropy Stable Flux Correction for Hydrostatic Reconstruction Scheme for Shallow Water Flows J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-21 Sergii Kivva
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A Distributed Block Chebyshev-Davidson Algorithm for Parallel Spectral Clustering J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-17 Qiyuan Pang, Haizhao Yang
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A Conservative Eulerian–Lagrangian Runge–Kutta Discontinuous Galerkin Method for Linear Hyperbolic System with Large Time Stepping J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-17 Xue Hong, Jing-Mei Qiu
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A New S-M Limiter Entropy Stable Scheme Based on Moving Mesh Method for Ideal MHD and SWMHD Equations J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-16
Abstract For magnetohydrodynamics (MHD) equations, the existing entropy stable (ES) flux effectively eliminates the spurious oscillation, but it still has potential for improvement such as the resolution of discontinuous solutions. We propose a high-resolution scheme based on a moving mesh strategy for approximating solutions of ideal MHD and shallow water MHD (SWMHD) in this paper. Firstly, a new
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A Robust and High Precision Algorithm for Elastic Scattering Problems from Cornered Domains J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-14 Jianan Yao, Baoling Xie, Jun Lai
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Convergence and Superconvergence Analysis of a Nonconforming Finite Element Variable-Time-Step BDF2 Implicit Scheme for Linear Reaction-Diffusion Equations J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-14 Lifang Pei, Yifan Wei, Chaofeng Zhang, Jiwei Zhang
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Higher-Order Finite Element Methods for the Nonlinear Helmholtz Equation J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-14 Barbara Verfürth
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Sampling and Change of Measure for Monte Carlo Integration on Simplices J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-13 Chenxiao Song, Reiichiro Kawai
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A Rapid Numerical Method for the Mullins–Sekerka Flow with Application to Contact Angle Problems J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-13 Tokuhiro Eto
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An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-10 Patrick Ersing, Andrew R. Winters
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Second-Order Three-Scale Asymptotic Analysis and Algorithms for Steklov Eigenvalue Problems in Composite Domain with Hierarchical Cavities J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-08 Shuyu Ye, Qiang Ma, Qinglin Tang, Junzhi Cui, Zhihui Li
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The Helmholtz Equation with Uncertainties in the Wavenumber J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-05 Roland Pulch, Olivier Sète
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A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection–Diffusion Problems J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-05 Boyang Yu, Yonghai Li, Jiangguo Liu
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Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-04 Pietro Benedusi, Paola Ferrari, Marie E. Rognes, Stefano Serra-Capizzano
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Template-Based Image Reconstruction Facing Different Topologies J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-03
Abstract The reconstruction of images from measured data is an increasing field of research. For highly under-determined problems, template-based image reconstruction provides a way of compensating for the lack of sufficient data. A caveat of this approach is that dealing with different topologies of the template and the target image is challenging. In this paper, we propose a LDDMM-based image-reconstruction
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A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-01 Aniruddha Seal, Srinivasan Natesan, Suayip Toprakseven
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Double Precision is not Necessary for LSQR for Solving Discrete Linear Ill-Posed Problems J. Sci. Comput. (IF 2.5) Pub Date : 2024-02-01 Haibo Li
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An Aggregation-Based Two-Grid Method for Multilevel Block Toeplitz Linear Systems J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-27 Chengtao An, Yangfeng Su
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Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-25 Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier, Nitesh Verma
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Implicit Active Flux Methods for Linear Advection J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-25 Wasilij Barsukow, Raul Borsche
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Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-23 Bikram Bir, Deepjyoti Goswami, Amiya K. Pani
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Crank–Nicolson Schemes for Sub-Diffusion Equations with Nonsingular and Singular Source Terms in Time J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-18 Han Zhou, Wenyi Tian
In this work, two Crank–Nicolson schemes without corrections are developed for sub-diffusion equations. First, we propose a Crank–Nicolson scheme without correction for problems with regularity assumptions only on the source term. Second, since the existing Crank–Nicolson schemes have a severe reduction of convergence order for solving sub-diffusion equations with singular source terms in time, we
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Enhancing Electrical Impedance Tomography Reconstruction Using Learned Half-Quadratic Splitting Networks with Anderson Acceleration J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-18
Abstract Electrical Impedance Tomography (EIT) is widely applied in medical diagnosis, industrial inspection, and environmental monitoring. Combining the physical principles of the imaging system with the advantages of data-driven deep learning networks, physics-embedded deep unrolling networks have recently emerged as a promising solution in computational imaging. However, the inherent nonlinear and
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Pricing Discretely Monitored Asian Options Under Regime-Switching and Stochastic Volatility Models with Jumps J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-17 Weinan Zhang, Pingping Zeng, Gongqiu Zhang, Yue Kuen Kwok
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Least-Squares Virtual Element Method for Stokes Problems on Polygonal Meshes J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-17 Gang Wang, Ying Wang
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Deep Ritz Method for Elliptical Multiple Eigenvalue Problems J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-17 Xia Ji, Yuling Jiao, Xiliang Lu, Pengcheng Song, Fengru Wang
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Free-Boundary Problems for Wave–Structure Interactions in Shallow-Water: DG-ALE Description and Local Subcell Correction J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-17 Ali Haidar, Fabien Marche, François Vilar
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A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-17 Lingfeng Li, Xue-Cheng Tai, Jiang Yang, Quanhui Zhu
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High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-11 Linfeng Xu, Shengrong Ding, Kailiang Wu
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A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-10 Heping Dong, Peijun Li
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A Shock Stabilization of the HLLC Riemann Solver for the Carbuncle Instability J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-03 Alexandra Baumgart, Samuel W. Jones, Philipp V. F. Edelmann, Joshua C. Dolence
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An Explicit Exponential Integrator Based on Faber Polynomials and its Application to Seismic Wave Modeling J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-03 Fernando V. Ravelo, Pedro S. Peixoto, Martin Schreiber
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On Finite Volume Methods for a Navier–Stokes Variational Inequality J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-03 Feifei Jing, Weimin Han, Takahito Kashiwabara, Wenjing Yan
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Numerical Methods for Fourth-Order PDEs on Overlapping Grids with Application to Kirchhoff–Love Plates J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-04 Longfei Li, Hangjie Ji, Qi Tang
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The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme J. Sci. Comput. (IF 2.5) Pub Date : 2024-01-04 Farid Bozorgnia, Leon Bungert, Daniel Tenbrinck