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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
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