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ORCIDSIAM Journal on Numerical Analysis, Volume 63
Volume 63, Number 1, 2025
- Jeffrey Galkowski
, Euan A. Spence:
Sharp Preasymptotic Error Bounds for the Helmholtz \(\boldsymbol{h}\)-FEM. 1-22 - Tianyang Chu, Hailong Guo, Zhimin Zhang:
Recovery Based Linear Finite Element Methods for Hamilton-Jacobi-Bellman Equation with Cordes Coefficients. 23-53 - Abderrahmane Bendali:
Primal Hybrid Finite Element Method for the Helmholtz Equation. 54-80 - Mohamed Laaziri, Roland Masson:
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics. 81-102 - Weizhu Bao, Yifei Li:
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow. 103-121 - Caroline Wormell:
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos. 122-148 - Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang:
Convergent Finite Difference Schemes for Stochastic Transport Equations. 149-192 - Danlin Li, Johannes Milz:
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization. 193-213 - Jiachuan Cao, Buyang Li, Yanping Lin, Fangyan Yao:
Numerical Approximation of Discontinuous Solutions of the Semilinear Wave Equation. 214-238 - Alexander V. Mamonov, Maxim A. Olshanskii:
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems. 239-261 - Federico Cornalba, Julian Fischer:
Multilevel Monte Carlo Methods for the Dean-Kawasaki Equation from Fluctuating Hydrodynamics. 262-287 - Karolina Kropielnicka, Juan Carlos del Valle:
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence. 288-305 - Wietse M. Boon, Omar Durán, Jan M. Nordbotten:
Mixed Finite Element Methods for Linear Cosserat Equations. 306-333 - Jennifer Zvonek, Andrew J. Horning, Alex Townsend:
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators. 334-359 - Hao Wu, Shu Liu, Xiaojing Ye, Haomin Zhou:
Parameterized Wasserstein Hamiltonian Flow. 360-395 - Xiaochen Yang, Yaozhong Hu:
Long Time Stability and Numerical Stability of Implicit Schemes for Stochastic Heat Equations. 396-421 - Carlos Arranz-Simón, Cesar Palencia:
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction. 422-436 - Annika Schiemann, Paul Manns:
Discretization of Total Variation in Optimization with Integrality Constraints. 437-460 - Martin J. Gander, Ronald D. Haynes, Felix Kwok:
Corrigendum: Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle. 461-467
Volume 63, Number 2, 2025
- Zewen Shen, Kirill Serkh:
On Polynomial Interpolation in the Monomial Basis. 469-494 - Daniel Sanz-Alonso, Ruiyi Yang:
Gaussian Process Regression under Computational and Epistemic Misspecification. 495-519 - Julian Braun, Christoph Ortner, Yangshuai Wang, Lei Zhang:
Higher-Order Far-Field Boundary Conditions for Crystalline Defects. 520-541 - Gabriel J. Lord, Andreas Petersson:
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs. 542-563 - Kai Jiang, Xueyang Li, Yao Ma, Juan Zhang, Pingwen Zhang, Qi Zhou:
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems. 564-587 - Rodolfo Araya, Christopher Harder, Abner H. Poza, Frédéric Valentin:
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations - A Priori Analysis. 588-618 - Beiping Duan:
Mesh-Preserving and Energy-Stable Parametric FEM for Geometric Flows of Surfaces. 619-640 - Alejandro Castaño, Mathieu Bajodek, Sabine Mondié:
Legendre Approximation-Based Stability Test for Distributed Delay Systems. 641-660 - Alexandre Ern, Jean-Luc Guermond:
Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell's Equations with Discontinuous Coefficients. 661-684 - Shuigen Liu, Sebastian Reich, Xin T. Tong:
Dropout Ensemble Kalman Inversion for High Dimensional Inverse Problems. 685-715 - Qiya Hu, Ziyi Li:
A Hybrid Two-Level Weighted Schwarz Method for Helmholtz Equations. 716-743 - Wangtao Lu, Weiying Zheng, Xiaopeng Zhu:
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface. 744-771 - Qing Cheng, Jie Shen, Cheng Wang:
Unique Solvability and Error Analysis of a Scheme Using the Lagrange Multiplier Approach for Gradient Flows. 772-799 - Bosco García-Archilla, Volker John, Julia Novo:
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations. 800-826 - Carsten Carstensen, Ngoc Tien Tran:
Locking-Free Hybrid High-Order Method for Linear Elasticity. 827-853 - Dianming Hou, Xiaoli Li, Zhonghua Qiao, Nan Zheng:
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals. 854-880 - Evan Habbershaw, Cory D. Hauck, Steven M. Wise:
Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. 881-907 - Nicola Guglielmi, Christian Lubich:
Transient Dynamics Under Structured Perturbations: Bridging Unstructured and Structured Pseudospectra. 908-930 - Yuwen Li:
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms. 931-948 - Petar Mlinaric, Peter Benner, Serkan Gugercin:
Interpolatory \(\boldsymbol {{\mathcal {H}}_{2}}\)-optimality Conditions for Structured Linear Time-invariant Systems. 949-975 - Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo:
Reduced Krylov Basis Methods for Parametric Partial Differential Equations. 976-999 - Chuchu Chen, Tonghe Dang, Jialin Hong, Fengshan Zhang:
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation. 1000-1024
Volume 63, Number 3, 2025
- Alexander D. Gilbert, Frances Y. Kuo, Abirami Srikumar:
Density Estimation for Elliptic PDE with Random Input by Preintegration and Quasi-Monte Carlo Methods. 1025-1054 - Alexandre L. Madureira, Marcus Sarkis:
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method. 1055-1077 - Long Chen, Xuehai Huang, Chao Zhang:
Distributional Finite Element curl div Complexes and Application to Quad Curl Problems. 1078-1104 - Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert:
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation. 1105-1127 - Chaoyi Cai, Jianxian Qiu, Kailiang Wu:
Provably Convergent Newton-Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD. 1128-1159 - Lubomír Bañas, Sebastian Herr:
Numerical Approximation of Biharmonic Wave Maps into Spheres. 1160-1182 - Seungil Kim:
Analysis of Complete Radiation Boundary Conditions for Maxwell's Equations. 1183-1208 - Martin J. Gander, A. Schädle:
On the Relationship Between the Pole Condition, Absorbing Boundary Conditions, and Perfectly Matched Layers. 1209-1231 - Xuanyu Liu, Yvon Maday, Chaoyu Quan, Hui Zhang:
Convergence Analysis of a Solver for the Linear Poisson-Boltzmann Model. 1232-1253 - Mária Lukácová-Medvidová, Bangwei She, Yuhuan Yuan:
Convergence Analysis of the Monte Carlo Method for the Random Navier-Stokes-Fourier System. 1254-1280 - Fabrice Deluzet, Clément Guillet, Jacek Narski, Paul Pace:
High-Order Sparse-PIC Methods: Analysis and Numerical Investigations. 1281-1314 - Timo Sprekeler, Endre Süli, Zhiwen Zhang:
Finite Element Approximation of Stationary Fokker-Planck-Kolmogorov Equations with Application to Periodic Numerical Homogenization. 1315-1343 - Harald Monsuur, Rob P. Stevenson:
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems. 1344-1368
Volume 63, Number 4, 2025
- Chunlong Sun, Wenlong Zhang:
Convergence Estimates of Regularized Solutions to Inverse Space-Dependent Source Problems with Time-Dependent Boundary Measurement. 1369-1397 - Abhijit Biswas, David I. Ketcheson, Steven B. Roberts, Benjamin Seibold, David Shirokoff:
Explicit Runge-Kutta Methods that Alleviate Order Reduction. 1398-1426 - Charles L. Epstein, Fredrik Fryklund, Shidong Jiang:
An Accurate and Efficient Scheme for Function Extension on Smooth Domains. 1427-1453 - Buyang Li, Rong Tang:
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM. 1454-1481 - María López-Fernández, Lukasz Plociniczak:
Convolution Quadrature for the Quasilinear Subdiffusion Equation. 1482-1511 - Peter Monk, Manuel Peña, Virginia Selgás:
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide. 1561-1585 - Bangti Jin, Qimeng Quan, Barbara I. Wohlmuth, Zhi Zhou:
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion. 1512-1539 - Aaron Brunk, Jan Giesselmann, Mária Lukácová-Medvidová:
A Posteriori Error Control for the Allen-Cahn Equation with Variable Mobility. 1540-1560 - Alessandro Contri, Balázs Kovács, André Massing:
Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates. 1586-1616 - Moritz Hauck, Alexei Lozinski:
A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems. 1617-1641 - Shuonan Wu, Hao Zhou:
A Stabilized Nonconforming Finite Element Method for the Surface Biharmonic Problem. 1642-1665 - Philipp A. Guth, Vesa Kaarnioja:
Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty. 1666-1690 - Yakun Dong, Kristian Bredies, Hongpeng Sun:
A Stochastic Preconditioned Douglas-Rachford Splitting Method for Saddle-Point Problems. 1691-1728 - Markus Bachmayr, Martin Eigel, Henrik Eisenmann, Igor Voulis:
A Convergent Adaptive Finite Element Stochastic Galerkin Method Based on Multilevel Expansions of Random Fields. 1776-1807 - Xuping Wang, Xuan Zhao, Hong-lin Liao:
A Unified Framework on the Original Energy Laws of Three Effective Classes of Runge-Kutta Methods for Phase Field Crystal Type Models. 1808-1832 - Andrea Dziubek, Kaibo Hu, Michael Karow, Michael Neunteufel:
Intrinsic Mixed Finite Element Methods for Linear Cosserat Elasticity. 1833-1860 - Shi Jin, Nana Liu, Chuwen Ma:
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms. 1861-1885 - Xiaoying Dai, Yan Li, Bin Yang, Aihui Zhou:
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems. 1886-1908
Volume 63, Number 5, 2025
- Thomas Führer, Gregor Gantner, Michael Karkulik:
Space-Time FEM-BEM Couplings for Parabolic Transmission Problems. 1909-1932 - Jorge Reyes, Ping-Hsuan Tsai, Julia Novo, Traian Iliescu:
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model. 1933-1961 - Kai Jiang, Meng Li, Juan Zhang, Lei Zhang:
Projection Method for Quasiperiodic Elliptic Equations and Application to Quasiperiodic Homogenization. 1962-1985 - Erik Burman, Lauri Oksanen, Ziyao Zhao:
Computational Unique Continuation with Finite Dimensional Neumann Trace. 1986-2008 - Jeffrey W. Banks, William D. Henshaw:
On the Coefficients in Finite Difference Series Expansions of Derivatives. 2009-2025 - Leonardo Mutti, Michael Ulbrich:
Approximating Volumetric Shape Gradients for Shape Optimization with Curved Boundaries Constrained by Parabolic PDEs. 2026-2047 - Jiannan Jiang, Noel J. Walkington, Yukun Yue:
Stability and Convergence of HDG Schemes under Minimal Regularity. 2048-2071 - Chao Li, Xiaojun Chen:
Spherical Zone t-Designs for Numerical Integration and Approximation. 2072-2093 - Jonathan R. Cangelosi, Matthias Heinkenschloss:
Sensitivity of ODE Solutions and Quantities of Interest with Respect to Component Functions in the Dynamics. 2094-2118 - Bowei Wu:
An Extension of the Euler-Maclaurin Summation Formula to Functions with Near Singularity. 2119-2132 - Emil Engström:
Convergence of the Dirichlet-Neumann Alternating Method for Semilinear Elliptic Equations. 2133-2154 - Sören Bartels, Thirupathi Gudi, Alex Kaltenbach:
A Priori and A Posteriori Error Identities for the Scalar Signorini Problem. 2155-2186
Volume 63, Number 6, 2025
- Peipei Lu, Xuejun Xu, Bowen Zheng, Jun Zou:
Two-Level Hybrid Schwarz Preconditioners for the Helmholtz Equation with High Wave Number. 2187-2220 - Cecilia Pagliantini:
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere. 2221-2248 - Lei-Hong Zhang, Shanheng Han:
A Convergence Analysis Of Lawson's Iteration For Computing Polynomial And Rational Minimax Approximations. 2249-2271 - Jingzhi Li, Shipeng Mao, Chao Wang, Zhimin Zhang:
An Efficient Finite Element Method for the Quad-Curl Problem. 2272-2295 - Alessia Andò, Jan Sieber:
Boundary-Value Problems of Functional Differential Equations with State-Dependent Delays. 2296-2316 - L. Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou, Kirubell B. Haile, Thomas J. Radley:
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier-Stokes Equations. 2317-2342 - Moody T. Chu, Matthew M. Lin:
Generalized Gentlest Ascent Dynamics Methods for High-Index Saddle Points. 2343-2370 - Thomas Cass, Francesco Piatti, Jeffrey Pei:
Numerical Schemes for Signature Kernels. 2371-2394 - Mi-Song Dupuy, Geneviève Dusson, Ioanna-Maria Lygatsika:
A Posteriori Error Estimates for Schrödinger Operators Discretized with Linear Combinations of Atomic Orbitals. 2395-2420 - Gero Junike, Hauke Stier:
From Characteristic Functions to Multivariate Distribution Functions and European Option Prices by the (Damped) COS Method. 2421-2453 - Gentian Zavalani, Oliver Sander, Michael Hecht:
High-Order Integration on Regular Triangulated Manifolds Reaches Superalgebraic Approximation Rates Through Cubical Reparametrizations. 2454-2482 - Hui Yao, Mejdi Azaïez:
Fast Supremizer Method on Penalty-Based Reduced-Order Modeling for Incompressible Flows. 2483-2511
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