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ORCIDSIAM Journal on Numerical Analysis, Volume 60
Volume 60, Number 1, February 2022
- Enrique Otárola:
Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis. 1-27 - Denise Aregba-Driollet
, Stéphane Brull, Corentin Prigent:
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System. 28-51 - Son-Young Yi, Sanghyun Lee, Ludmil T. Zikatanov:
Locking-Free Enriched Galerkin Method for Linear Elasticity. 52-75 - Antti Hannukainen, Jarmo Malinen, Antti Ojalammi:
Distributed Solution of Laplacian Eigenvalue Problems. 76-103 - Ruilian Du, Zhi-Zhong Sun, Hong Wang:
Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations. 104-132 - Xuefeng Xu, Chen-Song Zhang:
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework. 133-156 - Julia Brunken, Kathrin Smetana:
Stable and Efficient Petrov-Galerkin Methods for a Kinetic Fokker-Planck Equation. 157-179 - Georgios Akrivis, Charalambos G. Makridakis:
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. 180-194 - Kent-André Mardal, Jarle Sogn, Stefan Takacs:
Robust Preconditioning and Error Estimates for Optimal Control of the Convection-Diffusion-Reaction Equation with Limited Observation in Isogeometric Analysis. 195-221 - Kaibo Hu, Qian Zhang, Zhimin Zhang:
A Family of Finite Element Stokes Complexes in Three Dimensions. 222-243 - Chupeng Ma, Robert Scheichl, Tim J. Dodwell:
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations. 244-273 - Waixiang Cao, Lueling Jia, Zhimin Zhang:
A $C^1$ Conforming Petrov-Galerkin Method for Convection-Diffusion Equations and Superconvergence Analysis over Rectangular Meshes. 274-311 - Xinping Gui, Buyang Li, Jilu Wang:
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps. 312-338 - Hao Li, Daniel Appelö, Xiangxiong Zhang:
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations. 339-363 - Marcel Braukhoff, Ilaria Perugia, Paul Stocker:
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization. 364-395 - Matthew J. Colbrook:
Computing Semigroups with Error Control. 396-422 - Sigal Gottlieb, Zachary J. Grant, Jingwei Hu, Ruiwen Shu:
High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge-Kutta Methods with Asymptotic Preserving Properties. 423-449 - Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang:
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space. 450-474 - Silvia Bertoluzza, Erik Burman, Cuiyu He:
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights. 475-501
Volume 60, Number 2, April 2022
- Buyang Li, Shu Ma:
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data. 503-528 - Patrick Joly, Maryna Kachanovska:
Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis. 529-557 - Faker Ben Belgacem, Vivette Girault, Faten Jelassi:
Full Discretization of Cauchy's Problem by Lavrentiev-Finite Element Method. 558-584 - Emil Engström, Eskil Hansen:
Convergence Analysis of the Nonoverlapping Robin-Robin Method for Nonlinear Elliptic Equations. 585-605 - Ulrik S. Fjordholm, Markus Musch, Nils Henrik Risebro:
Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. 606-630 - Guosheng Fu, Wenzheng Kuang:
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model. 631-658 - Martin Eigel, Oliver G. Ernst, Björn Sprungk, Lorenzo Tamellini:
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion. 659-687 - Sergio Gómez, Andrea Moiola:
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation. 688-714 - Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Phoebus Rosakis:
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis. 715-750 - Zhiming Chen, Wenlong Zhang, Jun Zou:
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems. 751-780 - Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise:
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance. 781-803 - Ruming Zhang:
Exponential Convergence of Perfectly Matched Layers for Scattering Problems with Periodic Surfaces. 804-823 - Pawel Przybylowicz, Michal Sobieraj, Lukasz T. Stepien:
Efficient Approximation of SDEs Driven by Countably Dimensional Wiener Process and Poisson Random Measure. 824-855 - Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang:
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model. 856-887 - María Cabrera Calvo, Katharina Schratz:
Uniformly Accurate Low Regularity Integrators for the Klein-Gordon Equation from the Classical to NonRelativistic Limit Regime. 888-912
Volume 60, Number 3, June 2022
- Duc Quang Bui, Caroline Japhet, Yvon Maday, Pascal Omnes:
Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems. 913-939 - José A. Carrillo, Lin Chen, Qi Wang:
An Optimal Mass Transport Method for Random Genetic Drift. 940-969 - Qing Cheng, Jie Shen:
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving. 970-998 - Cui Ning, Yifei Wu, Xiaofei Zhao:
An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation. 999-1025 - Xiaoli Li, Weilong Wang, Jie Shen:
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations. 1026-1054 - Markus Faustmann, Michael Karkulik, Jens Markus Melenk:
Local Convergence of the FEM for the Integral Fractional Laplacian. 1055-1082 - Maurice Hensel, Irwin Yousept:
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding. 1083-1110 - Thomas Führer, Norbert Heuer, Michael Karkulik:
MINRES for Second-Order PDEs with Singular Data. 1111-1135 - Junlong Lyu, Zhongjian Wang, Jack Xin, Zhiwen Zhang:
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows. 1136-1167 - Daan Huybrechs:
On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions. 1168-1192 - Wietse M. Boon, Dennis Gläser, Rainer Helmig, Ivan Yotov:
Flux-Mortar Mixed Finite Element Methods on NonMatching Grids. 1193-1225 - Florian Feppon, Habib Ammari:
Analysis of a Monte-Carlo Nystrom Method. 1226-1250 - Wen-Ming He, Hailong Guo:
Optimal Maximum Norm Estimates for Virtual Element Methods. 1251-1280 - Hugh A. Carson, Steven R. Allmaras, Marshall C. Galbraith, David L. Darmofal:
Convergence of Anisotropic Mesh Adaptation via Metric Optimization. 1281-1306 - Jun Hu, Yizhou Liang, Rui Ma:
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein-Bianchi System. 1307-1330 - Nek Sharan, Peter T. Brady, Daniel Livescu:
Time Stability of Strong Boundary Conditions in Finite-Difference Schemes for Hyperbolic Systems. 1331-1362 - Kateryna Pozharska, Tino Ullrich:
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm. 1363-1384 - Shu Liu, Wuchen Li, Hongyuan Zha, Haomin Zhou:
Neural Parametric Fokker-Planck Equation. 1385-1449 - Roland Becker, Michael Innerberger, Dirk Praetorius:
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems. 1450-1471 - Benjamin Dörich, Marlis Hochbruck:
Exponential Integrators for Quasilinear Wave-Type Equations. 1472-1493 - Dieter Armbruster, Michael Herty, Giuseppe Visconti:
A Stabilization of a Continuous Limit of the Ensemble Kalman Inversion. 1494-1515 - Lu Zhang, Siyang Wang:
A High Order Finite Difference Method for the Elastic Wave Equation in Bounded Domains with Nonconforming Interfaces. 1516-1547 - Daxin Nie, Weihua Deng:
A Unified Convergence Analysis for the Fractional Diffusion Equation Driven by Fractional Gaussian Noise with Hurst Index $H\in(0,1)$. 1548-1573 - Mark Ainsworth, Charles Parker:
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning. 1574-1606 - Gregor Gantner, Rob Stevenson:
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations. 1607-1629
Volume 60, Number 4, August 2022
- Kenneth Duru, Siyang Wang, Kenny Wiratama:
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form. 1631-1664 - Tran Thi Khieu, Hoang-Hung Vo:
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type. 1665-1700 - Oumaima Bencheikh, Benjamin Jourdain:
Convergence in Total Variation of the Euler-Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise. 1701-1740 - Jingqi Ai, Yuan Xu, Chi-Wang Shu, Qiang Zhang:
L$^2$ Error Estimate to Smooth Solutions of High Order Runge-Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points. 1741-1773 - Théophile Chaumont-Frelet, Patrick Vega:
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations. 1774-1798 - Xu Wang, Weidong Zhao, Tao Zhou:
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations. 1799-1823 - Charlotte Perrin, Khaled Saleh:
Numerical Staggered Schemes for the Free-Congested Navier-Stokes Equations. 1824-1852 - Lourenço Beirão da Veiga, Giuseppe Vacca:
Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version. 1853-1878 - Daxin Nie, Jing Sun, Weihua Deng:
Strong Convergence Order for the Scheme of Fractional Diffusion Equation Driven by Fractional Gaussian Noise. 1879-1904 - Lili Ju, Xiao Li, Zhonghua Qiao:
Generalized SAV-Exponential Integrator Schemes for Allen-Cahn Type Gradient Flows. 1905-1931 - Long Chen, Xuehai Huang:
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension. 1932-1961 - Weizhu Bao, Yongyong Cai, Yue Feng:
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein-Gordon Equation with Weak Nonlinearity. 1962-1984 - Bin Han, Michelle Michelle:
Sharp Wavenumber-Explicit Stability Bounds for 2D Helmholtz Equations. 1985-2013 - Qiang Du, Yiqi Gu, Haizhao Yang, Chao Zhou:
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation. 2014-2045 - Qiang Du, Hehu Xie, Xiaobo Yin:
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods. 2046-2068 - Yimin Lou, Christoph Lehrenfeld:
Isoparametric Unfitted BDF-Finite Element Method for PDEs on Evolving Domains. 2069-2098 - Luca Desiderio, Silvia Falletta, Matteo Ferrari, Letizia Scuderi:
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems. 2099-2124 - Abdul-Lateef Haji-Ali, Jonathan Spence, Aretha L. Teckentrup:
Adaptive Multilevel Monte Carlo for Probabilities. 2125-2149 - Varun M. Gudibanda, Franziska Weber, Yukun Yue:
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals. 2150-2181 - Yang Li, Bangwei She:
On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field. 2182-2202 - Chuwen Ma, Qinghai Zhang, Weiying Zheng:
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains. 2203-2224 - Junxiong Jia, Peijun Li, Deyu Meng:
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems. 2225-2252 - Zhaoyi Li, Hong-lin Liao:
Stability of Variable-Step BDF2 and BDF3 Methods. 2253-2272 - Buyang Li, Shu Ma, Katharina Schratz:
A Semi-implicit Exponential Low-Regularity Integrator for the Navier-Stokes Equations. 2273-2292 - Peipei Lu, Andreas Rupp, Guido Kanschat:
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods. 2293-2317 - Thirupathi Gudi, Gouranga Mallik, Tamal Pramanick:
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type. 2318-2344 - Zhenning Cai, Jingwei Hu, Yang Kuang, Bo Lin:
An Entropic Method for Discrete Systems with Gibbs Entropy. 2345-2371
Volume 60, Number 5, October 2022
- Jeffrey M. Connors, Kenneth C. Sockwell:
A Multirate Discontinuous-Galerkin-in-Time Framework for Interface-Coupled Problems. 2373-2404 - Ming-Jun Lai, Jinsil Lee:
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations. 2405-2434 - Selim Esedoglu, Jiajia Guo:
A Monotone, Second Order Accurate Scheme for Curvature Motion. 2435-2447 - Zheng Sun, Yuanzhe Wei, Kailiang Wu:
On Energy Laws and Stability of Runge-Kutta Methods for Linear Seminegative Problems. 2448-2481 - Bruno Després, Anouk Nicolopoulos, Bertrand Thierry:
Optimized Transmission Conditions in Domain Decomposition Methods with Cross-Points for Helmholtz Equation. 2482-2507 - Benjamin Stamm, Lambert Theisen:
A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains. 2508-2537 - Ioannis P. A. Papadopoulos:
Numerical Analysis of a Discontinuous Galerkin Method for the Borrvall-Petersson Topology Optimization Problem. 2538-2564 - Wei Bian, Xiaojun Chen:
Anderson Acceleration for Nonsmooth Fixed Point Problems. 2565-2591 - Xiuchen Yu, Guanghui Hu, Wangtao Lu, Andreas Rathsfeld:
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface. 2592-2625 - Zhaonan Dong, Alexandre Ern:
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem. 2626-2656 - Lubomír Bañas, André Wilke:
A Posteriori Estimates for the Stochastic Total Variation Flow. 2657-2680 - Sebastian Noelle, Martin Parisot, Tabea Tscherpel:
A Class of Boundary Conditions for Time-Discrete Green-Naghdi Equations with Bathymetry. 2681-2712 - Martin Halla:
Radial Complex Scaling for Anisotropic Scalar Resonance Problems. 2713-2730 - Yue Luo, Xiangcheng Zheng, Xiangle Cheng, Lei Zhang:
Convergence Analysis of Discrete High-Index Saddle Dynamics. 2731-2750 - Shukai Li, Sanjay Mehrotra:
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation. 2751-2780 - Yi Qin, Yongshuai Wang, Jian Li:
A Variable Time Step Time Filter Algorithm for the Geothermal System. 2781-2806 - Paul Manns, Stefan Ulbrich:
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems. 2807-2833 - Zhengqi Zhang, Zhidong Zhang, Zhi Zhou:
Identification of Potential in Diffusion Equations from Terminal Observation: Analysis and Discrete Approximation. 2834-2865 - Run Jiang, Yonglin Li, Haijun Wu, Jun Zou:
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number. 2866-2896 - Constantin Carle, Marlis Hochbruck:
Error Analysis of Multirate Leapfrog-Type Methods for Second-Order Semilinear Odes. 2897-2924 - Lei Zhang, Pingwen Zhang, Xiangcheng Zheng:
Error Estimates for Euler Discretization of High-Index Saddle Dynamics. 2925-2944 - Martin Rumpf, Stefan Simon, Christoph Smoch:
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces. 2945-2962 - François Golse, Olivier Pironneau:
Stratified Radiative Transfer in a Fluid and Numerical Applications to Earth Science. 2963-3000
Volume 60, Number 6, December 2022
- Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev:
Sparse Monte Carlo Method for Nonlocal Diffusion Problems. 3001-3028 - Thomas Izgin, Stefan Kopecz, Andreas Meister:
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes. 3029-3051 - Rubing Han, Shuonan Wu:
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity. 3052-3077 - Yanlai Chen, Bo Dong, Rebecca Pereira:
A New Conservative Discontinuous Galerkin Method via Implicit Penalization for the Generalized Korteweg-de Vries Equation. 3078-3098 - Chunyu Chen, Xuehai Huang, Huayi Wei:
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension. 3099-3123 - Steffen Börm:
On Iterated Interpolation. 3124-3144 - Ernesto G. Birgin, José Mario Martínez:
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations. 3145-3180 - Dirk Blömker, Claudia Schillings, Philipp Wacker, Simon Weissmann:
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis. 3181-3215 - Lorenzo Pareschi, Thomas Rey:
Moment Preserving Fourier-Galerkin Spectral Methods and Application to the Boltzmann Equation. 3216-3240
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