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ORCIDSIAM Journal on Numerical Analysis, Volume 62
Volume 62, Number 1, February 2024
- Jiequn Han, Ruimeng Hu
, Jihao Long:
Learning High-Dimensional McKean-Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence. 1-24 - James Gabbard, Wim M. van Rees:
Lattice Green's Functions for High-Order Finite Difference Stencils. 25-47 - Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff:
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. 48-72 - Lukas Einkemmer, Jingwei Hu, Jonas Kusch:
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation. 73-92 - Weizhu Bao, Chushan Wang:
Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity. 93-118 - Li-Lian Wang, Jingye Yan, Xiaolong Zhang:
Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation. 119-137 - Yohance A. P. Osborne, Iain Smears:
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions. 138-166 - Elisabetta Carlini, Francisco José Silva Alvarez, Ahmad Zorkot:
A Lagrange-Galerkin Scheme for First Order Mean Field Game Systems. 167-198 - Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia:
Space-Time Virtual Elements for the Heat Equation. 199-228 - Nicolas Chopin, Mathieu Gerber:
Higher-Order Monte Carlo through Cubic Stratification. 229-247 - Alan Demlow, Michael Neilan:
A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. 248-272 - Zhenning Cai, Bo Lin, Meixia Lin:
A Positive and Moment-Preserving Fourier Spectral Method. 273-294 - Fruzsina Julia Agocs, Alex H. Barnett:
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost. 295-321 - Valeria Banica, Georg Maierhofer, Katharina Schratz:
Numerical Integration of Schrödinger Maps via the Hasimoto Transform. 322-352 - Kai Jiang, Shifeng Li, Pingwen Zhang:
Numerical Methods and Analysis of Computing Quasiperiodic Systems. 353-375 - José A. Carrillo, Li Wang, Chaozhen Wei:
Structure Preserving Primal Dual Methods for Gradient Flows with Nonlinear Mobility Transport Distances. 376-399 - Théophile Chaumont-Frelet, Patrick Vega:
Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell's Equations. 400-421 - Jürgen Dölz, David Ebert:
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity. 422-451 - Richard Löscher, Olaf Steinbach:
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation. 452-475 - Chenglong Bao, Chang Chen, Kai Jiang, Lingyun Qiu:
Convergence Analysis for Bregman Iterations in Minimizing a Class of Landau Free Energy Functionals. 476-499 - James M. Foster, Gonçalo Dos Reis, Calum Strange:
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition. 500-532 - Takashi Goda, Kosuke Suzuki, Makoto Matsumoto:
A Universal Median Quasi-Monte Carlo Integration. 533-566 - Chunyu Chen, Xuehai Huang, Huayi Wei:
Virtual Element Methods Without Extrinsic Stabilization. 567-591
Volume 62, Number 2, 2024
- Richard Archibald, Feng Bao, Yanzhao Cao, Hui Sun:
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks. 593-621 - Alessandro Coclite, Giuseppe Maria Coclite, Francesco Maddalena, Tiziano Politi:
A Numerical Framework for Nonlinear Peridynamics on Two-Dimensional Manifolds Based on Implicit P-(EC)\(^{ {\boldsymbol k}}\) Schemes. 622-645 - Timo Sprekeler:
Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous Coefficients and Finite Element Approximation of the Homogenized Problem. 646-666 - Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang:
On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem. 667-691 - Charles Parker, Endre Süli:
Stable Lifting of Polynomial Traces on Triangles. 692-717 - Thomas Führer, Norbert Heuer:
Robust DPG Test Spaces and Fortin Operators - The \(\boldsymbol{H^1}\) and \({\boldsymbol{H}}\boldsymbol{(\mathrm{div})}\) Cases. 718-748 - Zhe Xiong, Lei Li, Ya-Nan Zhu, Xiaoqun Zhang:
On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance. 749-774 - Shumo Cui, Shengrong Ding, Kailiang Wu:
On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws. 775-810 - Tim De Ryck, Siddhartha Mishra, Roberto Molinaro:
wPINNs: Weak Physics Informed Neural Networks for Approximating Entropy Solutions of Hyperbolic Conservation Laws. 811-841 - Christian Rieger, Holger Wendland:
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. 842-871 - Philipp A. Guth, Vesa Kaarnioja:
Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond. 872-892 - Erik Burman, Peter Hansbo, Mats G. Larson:
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach. 893-918 - Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity. 919-945 - Ömer Deniz Akyildiz, Dan Crisan, Joaquín Míguez:
Sequential Discretization Schemes for a Class of Stochastic Differential Equations and their Application to Bayesian Filtering. 946-973 - Gang Bao, Wenmao Hua, Jun Lai, Jinrui Zhang:
Singularity Swapping Method for Nearly Singular Integrals Based on Trapezoidal Rule. 974-997 - Qigang Liang, Wei Wang, Xuejun Xu:
A Two-Level Block Preconditioned Jacobi-Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators. 998-1019
Volume 62, Number 3, 2024
- Art B. Owen, Zexin Pan:
Gain Coefficients for Scrambled Halton Points. 1021-1038 - Jing An, Waixiang Cao, Zhimin Zhang:
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems. 1039-1066 - Victor P. DeCaria, Cory D. Hauck, Stefan R. Schnake:
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model. 1067-1097 - Shao-Bo Lin, Xiangyu Chang, Xingping Sun:
Kernel Interpolation of High Dimensional Scattered Data. 1098-1118 - Kuang Huang, Qiang Du:
Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model. 1119-1144 - Christa Cuchiero, Christoph Reisinger, Stefan Rigger:
Implicit and Fully Discrete Approximation of the Supercooled Stefan Problem in the Presence of Blow-Ups. 1145-1170 - Christopher R. Hoyt, Art B. Owen:
Mean Dimension of Radial Basis Functions. 1191-1211 - Lars Diening, Julian Rolfes, Abner J. Salgado:
Pointwise Gradient Estimate of the Ritz Projection. 1212-1225 - Benedict J. Leimkuhler, Daniel Paulin, Peter A. Whalley:
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics. 1226-1258 - Tamás Dózsa, Ferenc Schipp, Alexandros Soumelidis:
On Bernoulli's Method. 1259-1277 - Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova:
Solving PDEs with Incomplete Information. 1278-1312 - Benjamin Dörich, Patrick Henning:
Error Bounds for Discrete Minimizers of the Ginzburg-Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime. 1313-1343 - Charles-Edouard Bréhier:
Total Variation Error Bounds for the Accelerated Exponential Euler Scheme Approximation of Parabolic Semilinear SPDEs. 1171-1190 - Francisco Bersetche, Francisco Fuica, Enrique Otárola, Daniel Quero:
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization. 1344-1371 - Hongxia Guo, Guanghui Hu:
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation. 1372-1393 - Bingxin Zhu, Haijun Wu:
The (\(\boldsymbol{p}\), \(\boldsymbol{p}\,\unicode{x2013}\,\boldsymbol{1}\))-HDG Method for the Helmholtz Equation with Large Wave Number. 1394-1419 - Fuhao Liu, Wei Yang, Jichun Li:
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens. 1420-1442 - Shixu Meng, Bo Zhang:
A Kernel Machine Learning for Inverse Source and Scattering Problems. 1443-1464
Volume 62, Number 4, 2024
- Mark Ainsworth, Shuai Jiang:
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions. 1465-1491 - Ngoc Tien Tran:
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems. 1492-1514 - Matthieu Dolbeault, Moulay Abdellah Chkifa:
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces. 1515-1538 - L. Beirão da Veiga, Franco Dassi, Giuseppe Vacca:
Robust Finite Elements for Linearized Magnetohydrodynamics. 1539-1564 - Christopher Williams, Kenneth Duru:
Full-Spectrum Dispersion Relation Preserving Summation-by-Parts Operators. 1565-1588 - Dietmar Gallistl, Roland Maier:
Localized Implicit Time Stepping for the Wave Equation. 1589-1608 - Fukeng Huang, Jie Shen:
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations. 1609-1637 - Takahito Kashiwabara, Tomoya Kemmochi:
Discrete Maximal Regularity for the Discontinuous Galerkin Time-Stepping Method without Logarithmic Factor. 1638-1659 - Julius Jeßberger, Alex Kaltenbach:
Finite Element Discretization of the Steady, Generalized Navier-Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions. 1660-1686 - Ben S. Ashby, Tristan Pryer:
Duality-Based Error Control for the Signorini Problem. 1687-1712 - Kai Jiang, Qi Zhou, Pingwen Zhang:
Accurately Recover Global Quasiperiodic Systems by Finite Points. 1713-1735 - Francesca Scarabel, Rossana Vermiglio:
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework. 1736-1758 - Ludovico Bruni Bruno, Wolfgang Erb:
Polynomial Interpolation of Function Averages on Interval Segments. 1759-1781 - Buyang Li, Weiwei Sun, Yupei Xie, Wenshan Yu:
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions. 1782-1813 - Rami Masri, Miroslav Kuchta, Beatrice Riviere:
Discontinuous Galerkin Methods for 3D-1D Systems. 1814-1843 - Kaushik Bhattacharya, Nikola B. Kovachki, Aakila Rajan, Andrew M. Stuart, Margaret Trautner:
Learning Homogenization for Elliptic Operators. 1844-1873 - Alexey Chernov, Tùng Lê:
Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications. 1874-1900 - Weizhu Bao, Chushan Wang:
An Explicit and Symmetric Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity. 1901-1928 - Fabien Caubet, Joyce Ghantous, Charles Pierre:
A Priori Error Estimates of a Poisson Equation with Ventcel Boundary Conditions on Curved Meshes. 1929-1955 - Judit Muñoz-Matute, Leszek F. Demkowicz:
Multistage Discontinuous Petrov-Galerkin Time-Marching Scheme for Nonlinear Problems. 1956-1978 - Yassine Boubendir, Jake Brusca, Brittany Froese Hamfeldt, Tadanaga Takahashi:
Domain Decomposition Methods for the Monge-Ampère Equation. 1979-2003 - Fenghua Tong, Yongyong Cai:
Positivity Preserving and Mass Conservative Projection Method for the Poisson-Nernst-Planck Equation. 2004-2024 - Tapio Helin:
Least Squares Approximations in Linear Statistical Inverse Learning Problems. 2025-2047 - Martin J. Gander, Liudi Lu:
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems I: Dirichlet-Neumann and Neumann-Dirichlet Algorithms. 2048-2070
Volume 62, Number 5, 2024
- Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation. 2071-2086 - Aiqing Zhu, Sidi Wu, Yifa Tang:
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning. 2087-2120 - Martin Rumpf, Stefan Simon, Christoph Smoch:
Two-Scale Finite Element Approximation of a Homogenized Plate Model. 2121-2142 - Niklas Kolbe, Michael Herty, Siegfried Müller:
Numerical Schemes for Coupled Systems of Nonconservative Hyperbolic Equations. 2143-2171 - Genming Bai, Jiashun Hu, Buyang Li:
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field. 2172-2195 - Yuanyuan Feng, Lei Li, Jian-Guo Liu, Tao Tang:
Some Grönwall Inequalities for a Class of Discretizations of Time Fractional Equations on Nonuniform Meshes. 2196-2221 - Haijin Wang, Qi Tao, Chi-Wang Shu, Qiang Zhang:
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations. 2222-2248 - Gabriele Santin, Tizian Wenzel, Bernard Haasdonk:
On the Optimality of Target-Data-Dependent Kernel Greedy Interpolation in Sobolev Reproducing Kernel Hilbert Spaces. 2249-2275 - Siyu Cen, Zhi Zhou:
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates. 2276-2307 - Shu-Lin Wu, Tao Zhou:
Convergence Analysis of the Parareal Algorithm with Nonuniform Fine Time Grid. 2308-2330 - Tim Haubold, Sven Beuchler, Joachim Schöberl:
High Order Biorthogonal Functions in \({H}\)(curl). 2331-2348 - D. Kumar, A. K. B. Chand, Peter R. Massopust:
Fractal Multiquadric Interpolation Functions. 2349-2369 - Takashi Goda, Yoshihito Kazashi, Ken'ichiro Tanaka:
How Sharp Are Error Bounds? -Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions-. 2370-2392 - Du Ouyang, Xiaoqun Wang, Zhijian He:
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands. 2393-2414 - Yohance A. P. Osborne, Iain Smears:
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions. 2415-2417
Volume 62, Number 6, 2024
- Yidu Yang, Shixi Wang, Hai Bi:
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems. 2419-2438 - Annalisa Buffa, Ondine Chanon, Denise Grappein, Rafael Vázquez, Martin Vohralík:
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems. 2439-2458 - Kui Ren, Lu Zhang, Yin Zhou:
An Energy-Based Discontinuous Galerkin Method for the Nonlinear Schrödinger Equation with Wave Operator. 2459-2483 - Van Chien Le, Kristof Cools:
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering. 2484-2505 - Chao Li, Xiaojun Chen:
Spherical Designs for Approximations on Spherical Caps. 2506-2528 - Evert Provoost, Wim Michiels:
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited. 2529-2548 - José A. Carrillo, F. Hoffmann, Andrew M. Stuart, Urbain Vaes:
The Mean-Field Ensemble Kalman Filter: Near-Gaussian Setting. 2549-2587 - Martin J. Gander, Liudi Lu:
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann-Neumann Algorithms. 2588-2610 - Evelyn Buckwar, Ana Djurdjevac, Monika Eisenmann:
A Domain Decomposition Method for Stochastic Evolution Equations. 2611-2639 - Steffen Dereich, Arnulf Jentzen, Sebastian Kassing:
On the Existence of Minimizers in Shallow Residual ReLU Neural Network Optimization Landscapes. 2640-2666 - Hong Zhang, Haifeng Wang, Xueqing Teng:
A Second-Order, Global-in-Time Energy Stable Implicit-Explicit Runge-Kutta Scheme for the Phase Field Crystal Equation. 2667-2697 - Ben Adcock, Daan Huybrechs, Cécile Piret:
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains. 2698-2718 - Dongfang Li, Xiaoxi Li:
Multiple Relaxation Exponential Runge-Kutta Methods for the Nonlinear Schrödinger Equation. 2719-2744 - Zhiyan Ding, Martin Guerra, Qin Li, Eitan Tadmor:
Swarm-Based Gradient Descent Meets Simulated Annealing. 2745-2781 - Paul Manns, Christian Kirches:
Erratum: Multidimensional Sum-Up Rounding for Elliptic Control Systems. 2782-2783 - Qing Cheng, Jie Shen:
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving. 2784-2787
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