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ORCIDSIAM Journal on Scientific Computing, Volume 48
Volume 48, Number 1, 2026
- Wei Cai
, Andrew He, Daniel Margolis:
DeepMartNet: A Martingale-Based Deep Neural Network Learning Method for Dirichlet BVPs and Eigenvalue Problems of Elliptic PDEs in \(\mathbb{R}\)\(^{d}\). 25- - Alyson Fox, Peter Lindstrom:
Enhancing ZFP: A Statistical Approach to Understanding and Reducing Error Bias in a Lossy Floating-Point Compression Algorithm. 1- - Jiequn Han, Wei Hu, Jihao Long, Yue Zhao:
Deep Picard Iteration for High-Dimensional Nonlinear PDEs. 1- - Yuyang Huang, Michael Herty, Dante Kalise, Nikolas Kantas:
Fast and Robust Consensus-Based Optimization via Optimal Feedback Control. 74- - Marco Gambarini, Gabriele Ciaramella, Edie Miglio:
A Gradient-Flow Approach for Combined Layout-Control Design of Wave Energy Parks. 59- - Tilo Arens, Marvin Knöller, Raphael Schurr:
Inverse Electromagnetic Scattering Problems for Long Tubular Objects. 185- - Arne Strehlow, Chupeng Ma, Robert Scheichl:
Fast-Convergent Two-Level Restricted Additive Schwarz Methods Based on Optimal Local Approximation Spaces. 31- - Ya-Chi Chu, Luiz-Rafael Santos, Madeleine Udell:
Randomized Nyström Preconditioned Interior Point-Proximal Method of Multipliers. 132- - Guangwei Gao, Harald Garcke, Buyang Li, Rong Tang:
An Energy-Stable Minimal Deformation Rate Scheme for Mean Curvature Flow and Surface Diffusion. 103- - Mingxing Weng, Zhiping Mao, Jie Shen:
Deep Collocation Method: A Framework for Solving PDEs Using Neural Networks with Error Control. 77- - Mingchao Cai, Miroslav Kuchta, Jingzhi Li, Ziliang Li, Kent-André Mardal:
Parameter-Robust Preconditioners for a Four-Field Thermo-Poroelasticity Model. 49- - Gianluca Ceruti, Jonas Kusch, Christian Lubich, Dominik Sulz:
A Parallel Basis Update and Galerkin Integrator for Tree Tensor Networks. 27- - Robert Gruhlke, David Sommer, Max Kirstein, Martin Eigel, Claudia Schillings:
Reverse Diffusion Sampling with Tensor Train Approximations of Hamilton-Jacobi-Bellman Equations. 103- - Jianbo Cui, Shu Liu, Haomin Zhou:
A Supervised Learning Scheme for Computing Hamilton-Jacobi Equation via Density Coupling. 51- - Jiaming Guo, Dunhui Xiao:
Nonlinear Model Reduction by Probabilistic Manifold Decomposition. 209- - Quentin Badolle, Ankit Gupta, Mustafa Khammash:
Unbiased Estimation of Second-Order Parameter Sensitivities for Stochastic Reaction Networks. 160- - Hao Chen, Alfio Borzì, Denis Jankovic, Jean-Gabriel Hartmann, Paul-Antoine Hervieux:
Full- and Low-Rank Exponential Euler Integrators for the Lindblad Equation. 1- - Abner J. Salgado, Shane E. Sawyer:
A Semianalytic Diagonalization Finite Element Method for the Spectral Fractional Laplacian. 236- - Arthur Bawin, André Garon, Jean-François Remacle:
Isometric Simplices for High-Order Anisotropic Mesh Adaptation. Part I: Definition and Existence of Isometric Triangulations. 335- - Alex Bespalov, Dirk Praetorius, Michele Ruggeri:
Goal-Oriented Adaptivity for Multilevel Stochastic Galerkin FEM with Nonlinear Goal Functionals. 392- - Volker Mehrmann, Emre Mengi:
Minimization of the Pseudospectral Abscissa of a Quadratic Matrix Polynomial. 363- - Anran Jiao, Qile Yan, John Harlim, Lu Lu:
Solving Forward and Inverse Partial Differential Equation Problems on Unknown Manifolds via Physics-Informed Neural Operators. 136- - Daria Sushnikova, George Turkiyyah, Edmond Chow, David E. Keyes:
\({\mathcal{H}^{2}}\)-MG: A Multigrid Method for Hierarchical Rank Structured Matrices. 286- - Satoru Iwata, Taihei Oki, Shinsaku Sakaue:
Rate Constant Matrix Contraction Method for Stiff Master Equations with Detailed Balance. 261- - Zhongshuo Lin, Qingkui Ma, Hehu Xie, Xiaobo Yin:
Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network. 164- - Tianai Yin, Zhenning Cai, Yanli Wang:
A Fast Fourier Spectral Method for the Linearized Boltzmann Collision Operator. 83- - Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
Corrigendum: \(hp\)-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes. 418- - Yingshan Duan, Fanhai Zeng, Hui Zhang, Tao Zhou:
Fast Computation of the Fractional Power of a Matrix. 309-
Volume 48, Number 2, 2026
- Fabien Caubet, Carlos Conca, Marc Dambrine, Rodrigo Zelada:
Shape Optimization with Ventcel Transmission Condition: Application to the Design of a Heat Exchanger. 113- - Josef Martínek, Erin Carson, Robert Scheichl:
Exploiting Inexact Computations in Multilevel Monte Carlo and Other Sampling Methods. 141- - Uwe Naumann:
Differential Inversion of the Implicit Euler Method. 494- - Gang Bao, Jun Lai, Haoran Ma:
Computation of Shape Taylor Expansions for Scattering Problems in Two Dimensions. 448- - Zhuhan Jiang, Chaoyu Quan, Xuan Zhao:
A Class of High Order Unconditional Maximum Principle Preserving Extended IFRK Schemes for Allen-Cahn Equation. 474- - Yannan Chen, Liqun Qi:
A Direct Method for Computing the Complex-Valued Triple Decomposition of Third-Order Tensors. 425- - Adrienne M. Propp, Jonas A. Actor, Elise Walker, Houman Owhadi, Nathaniel Trask, Daniel M. Tartakovsky:
Discovery of Probabilistic Dirichlet-to-Neumann Maps on Graphs. 191- - Wen Huang, Zilin Yang, Qinglin Tang:
A Preconditioned Riemannian Conjugate Gradient Method to Compute Ground States of Spin-1 Bose-Einstein Condensates. 600- - Karim Gumerov, Samantha Rigg, Richard Mikaël Slevinsky:
Fast Measure Modification of Orthogonal Polynomials via Matrices with Displacement or Hierarchical Off-Diagonal Low-Rank Structure. 624- - Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Xue Wang:
Parameter-Robust Preconditioner for Stokes-Darcy Coupled Problem with Lagrange Multiplier. 878- - Thomas M. Hagstrom, Dinh Phan Cao Nguyen, Avy Soffer, Chris Stucchio, Minh-Binh Tran:
A Time-Dependent Phase Space Filter for Anisotropic Wave Equations on Unbounded Domains. 804- - Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du:
A Simple and Fast Finite Difference Method for the Integral Fractional Laplacian of Variable Order. 748- - Mingdong He, Patrick E. Farrell, Kaibo Hu, Boris D. Andrews:
Helicity-Preserving Finite Element Discretization for Magnetic Relaxation. 165- - Arbaz Khan, Felipe Lepe, Jesus Vellojin:
Interior Penalty Discontinuous Galerkin Methods for the Nearly Incompressible Elasticity Eigenvalue Problem with Heterogeneous Media. 568- - Socratis Petrides, Tucker Hartland, Tzanio V. Kolev, Chak Shing Lee, Michael Puso, Jerome Solberg, Eric B. Chin, Jingyi Wang, Cosmin G. Petra:
Algebraic Multigrid with Filtering: An Efficient Preconditioner for Interior Point Methods in Large-Scale Contact Mechanics Optimization. 828- - Yuan Chen, Dongbin Xiu:
Modeling Unknown Stochastic Dynamical System Subject to External Excitation. 216- - Aaron Baier-Reinio, Patrick E. Farrell:
High-Order Finite Element Methods for Three-Dimensional Multicomponent Convection-Diffusion. 540- - Sage Shaw, Zachary P. Kilpatrick, Daniele Avitabile:
Radial Basis Function Techniques for Neural Field Models on Surfaces. 668- - Jürgen Dölz, Fernando Henríquez:
Fully Discrete Analysis of the Galerkin POD Neural Network Approximation with Application to 3D Acoustic Wave Scattering. 271- - Srinivas Eswar, Vishwas Rao, Arvind K. Saibaba:
Bayesian D-Optimal Experimental Designs via Column Subset Selection. 905- - Manting Peng, Kailiang Wu, Caiyou Yuan:
Oscillation-Eliminating Central DG Schemes on Cartesian Meshes for Hyperbolic Conservation Laws. 695- - Qiuqi Li, Chang Liu, Yifei Yang:
Localized Dynamic Mode Decomposition with Temporally Adaptive Segmentation. 853- - Samuele Brunati, Michele Bucelli, Roberto Piersanti, Luca Dede', Christian Vergara:
Coupled Eikonal Problems to Model Cardiac Reentries in Purkinje Network and Myocardium. 184- - Ningxin Liu, Shuigen Liu, Xin T. Tong, Lijian Jiang:
Estimate of Koopman Modes and Eigenvalues with Kalman Filter. 512- - Fritz Göbel, Ngoc Mai Monica Huynh, Fatemeh Chegini, Luca Franco Pavarino, Martin Weiser, Simone Scacchi, Hartwig Anzt:
A BDDC Preconditioner for the Cardiac EMI Model in Three Dimensions. 646- - Awad H. Al-Mohy, Xiaobo Liu:
A Scaling and Recovering Algorithm for the Matrix \({\varphi }\)-Functions. 726- - Wenrui Hao, Rui Peng Li, Yuanzhe Xi, Tianshi Xu, Yahong Yang:
Multiscale Neural Networks for Approximating Green's Functions. 240- - Paul G. Beckman, Michael O'Neil:
A Nonuniform Fast Hankel Transform. 784- - Wei Xie, Viet Ha Hoang, Yin Yang, Yunqing Huang:
A Hierarchical Approach for Multicontinuum Homogenization in High Contrast Media. 1006- - Jianan Li, Zhaoqing Xu, Jiang Yang, Xiaofeng Yang:
Efficient, Decoupled, Second and Third-Order Implicit-Explicit Runge-Kutta Schemes with Original-Form Energy Stability for the Anisotropic Phase-Field Dendritic Growth Model. 233- - Hongyu Chen, Paul A. Ullrich, Julian Panetta:
Fast and Accurate Intersections on a Sphere. 208- - Qihao Ye, Xiaochuan Tian, Dong Wang:
A Fast and Accurate Solver for the Fractional Fokker-Planck Equation with Dirac-Delta Initial Conditions. 1050- - Abhijit Chowdhary, Ahmed Attia, Alen Alexanderian:
Robust Optimal Experimental Design of Infinite-Dimensional Bayesian Nonlinear Inverse Problems. 262- - Henrique B. N. Monteiro, Daniel M. Tartakovsky:
Integral Kernel Methods for Nonlinear Parabolic-Elliptic Systems. 958- - Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Chiara Guardasoni:
A Space-Time Adaptive Boundary Element Method for the Wave Equation. 984- - Jiayu Han:
A Finite Element Method for Maxwell's Transmission Eigenvalue Problem in Anisotropic Media. 1028- - Kristoffer Andersson, Alessandro Gnoatto, Camilo A. Garcia Trillos:
A Deep Solver for Backward Stochastic Volterra Integral Equations. 359- - Hamid Mofidi, Maziar Raissi, Wuyue Yang:
Exploring Multiple Timescale Dynamics Using Geometric Singular Perturbation-Informed Neural Networks (GSPINNs). 301- - Emma Hart, Julianne Chung, Matthias Chung:
A Paired Autoencoder Framework for Inverse Problems via Bayes Risk Minimization. 385- - Li Yang, Serena Morigi, Michael K. Ng, You-Wei Wen:
Truncated Huber Penalty for Sparse Signal Recovery with Convergence Analysis. 929- - Xiliang Yang, Yifei Xiong, Zhijian He:
Leveraging Nested MLMC for Sequential Neural Posterior Estimation with Intractable Likelihoods. 330-
Volume 48, Number 3, 2026
- Oscar P. Bruno, Manuel A. Santana, Lloyd N. Trefethen:
Evaluation of Resonances: Adaptivity and AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents. 1260- - Anil Zenginoglu:
A Null Infinity Layer for Wave Scattering. 1075- - Daniel Appelö, Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman:
An \({O(N)}\) Helmholtz Solver Using WaveHoltz and Overset Grids. 1367- - Yuqi Liu, Yuxin Ma, Meiyue Shao:
On a Shrink-and-Expand Technique for Symmetric Block Eigensolvers. 1153- - Shaoshuai Chu, Michael Herty, Mária Lukácová-Medvid'ová, Yizhou Zhou:
Solving Random Hyperbolic Conservation Laws Using Linear Programming. 1184- - Wentao Peng, Yunqing Huang, Nianyu Yi:
Rank-Inspired Neural Network for Solving Partial Differential Equations. 453- - German Villalobos, Johann Rudi, Andreas Mang:
Neural Networks for Bayesian Inverse Problems Governed by a Nonlinear ODE. 415- - Laura Grigori, Muhammad Hassan:
An Additive Two-Level Parallel Variant of the DMRG Algorithm with Coarse-Space Correction. 1312- - Emmanuel Agullo, Marek Felsöci, Guillaume Sylvand:
Parallel Distributed Out-of-Core Solvers with Low-Rank Compression for Coupled FEM/BEM Systems. 317- - Boyang Xia, David Moxey:
Unified Interface Flux Evaluation in a General Discontinuous Galerkin Spectral Element Framework. 337- - Harald Garcke, Robert Nürnberg, Quan Zhao:
An Energy-Stable Parametric Finite Element Method for Willmore Flow with Normal-Tangential Velocity Splitting. 1235- - Michelle Michelle, Xiaofeng Ou, Jianlin Xia:
A Stable Matrix Version of the Wideband Fast Multipole Method for the 2D Helmholtz Kernel. 1399- - Stefania Bellavia, Greta Malaspina, Benedetta Morini:
A Variable Dimension Sketching Strategy for Nonlinear Least-Squares. 1206- - Shipeng Mao, Ruijie Xi:
A Structure-Preserving, Helicity-Conserving High-Order ALE Finite Element Method for Compressible Ideal MHD Systems. 1338- - Amparo Gil, Javier Segura, Nico M. Temme:
Fast and Accurate Computation of Classical Gaussian Quadratures. 289- - Rongji Li, Qile Yan, Shixiao W. Jiang:
Generalized Moving Least-Squares Methods for Solving Vector-Valued PDEs on Unknown Manifolds. 1101- - Davoud Mirzaei, Behnam Hashemi, Vahid Azimi-Mousolou:
LREI: A Fast Numerical Solver for Quantum Landau-Lifshitz Equations. 420- - Olivier Coulaud, Luc Giraud, Martina Iannacito, Mohammad Issa:
Solving Eigenvalue Problems in High Dimensions Using Contour Integration and Tensor Train Format. 1133- - Nils-Christian Kempke, Daniel Rehfeldt, Thorsten Koch:
A Massively Parallel Interior-Point Method for Arrowhead Linear Programs with Local Linking Structure. 360- - Sven Danz, Tobias Stollenwerk, Alessandro Ciani:
An Implementation of Quantum Oracles for the Finite Element Method. 386- - Gabriele Codega, Anna Ivagnes, Nicola Demo, Gianluigi Rozza:
Machine Learning-Based Quadratic Closures for Non-Intrusive Reduced Order Models. 505- - Zilan Cheng, Zhongjian Wang, Li-Lian Wang, Mejdi Azaïez:
PODNO: Proper Orthogonal Decomposition Neural Operators. 479- - Jiashun Hu, Nuo Lei, Buyang Li, Rong Tang:
Energy Dissipating ALE-MDR Method for Navier-Stokes Free Boundary Problems with Moving Contact Line. 1284- - Alex Bespalov, Raphaël Bulle:
An Adaptive Multimesh Rational Approximation Scheme for the Spectral Fractional Laplacian. 1485- - Sean Reiter, Steffen W. R. Werner:
Data-Driven Balanced Truncation for Second-Order Systems with Generalized Proportional Damping. 526- - Young Jae Jeon, Hyea Hyun Kim:
Neural Network Tearing and Interconnecting Methods for PDEs. 553- - Lei Jiang, Haijian Yang, Lijuan Shi, Jiali Tu:
Restricted Additive Schwarz Algorithm with Schur Complement for Bound-Preserving Solution of Geological Carbon Sequestration. 440- - Yating Wang, Zhengya Yang, Wing Tat Leung:
Parallel in Time Partially Explicit Splitting Scheme for High Contrast Linear Multiscale Diffusion Problems. 1462- - Arnold Reusken, Tilman Alemán:
Numerical Analysis of a Constrained Strain Energy Minimization Problem. 1564- - Yury Zabegaev, Inga Berre, Eirik Keilegavlen, Kundan Kumar:
An Efficient Preconditioner for Mixed-Dimensional Contact Poromechanics Based on the Fixed Stress Splitting Scheme. 1785- - Vedran Novakovic:
Erratum: Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method. 569- - Laura Grigori, Edouard Timsit:
Randomized Householder QR. 1611- - Sven Dummer, Dongwei Ye, Christoph Brune:
RONOM: Reduced-Order Neural Operator Modeling. 604- - Zlatko Drmac, Igor Mezic:
A Data Driven Koopman-Schur Decomposition for Computational Analysis of Nonlinear Dynamics. 1430- - Martin J. Gander, Liu-Di Lu, Tingting Wu:
Optimized Schwarz Methods for Heterogeneous Heat Transfer Problems. 1587- - Wanli Du, Jiaqing Yang:
A Novel Reconstruction Method for Multilayered Elastic Gratings from One-Sided Measurements. 466- - Tianshi Xu, Zechen Zhang, Jie Chen, Yousef Saad, Yuanzhe Xi:
Mixed-Precision Orthogonalization-Free Projection Methods for Eigenvalue and Singular Value Problems. 544- - Lei Li, Min Tang, Yuqi Yang:
Random Ordinate Method for Mitigating the Ray Effect in Radiative Transport Equation Simulations. 1510- - Hanyu Chu, Luca Franco Pavarino, Stefano Zampini:
Block BDDC/FETI-DP Preconditioners for Three-Field Mixed Finite Element Discretizations of Biot's Consolidation Model. 1710- - Gabriel R. Barrenechea, Philip L. Lederer, Andreas Rupp:
A Bound-Preserving and Conservative Enriched Galerkin Method for Elliptic Problems. 1761- - Jie Ding, Xiang Ji, Shenggao Zhou:
Entropy Increasing Numerical Methods for Prediction of Reversible and Irreversible Heating in Supercapacitors. 490- - Yuan Gao, Rasmus Kyng, Daniel A. Spielman:
AC(\({k}\)): Robust Solution of Laplacian Equations by Randomized Approximate Cholesky Factorization. 1643- - Weizhang Huang, Zhuoran Wang:
Efficient Parameter-Robust Preconditioners for Linear Poroelasticity and Elasticity in the Primal Formulation. 1536- - Matthias J. Ehrhardt, Silvia Gazzola, Sebastian James Scott:
Efficient Gradient-Based Methods for Bilevel Learning via Recycling Krylov Subspaces. 1811- - Thomas Deschatre, Xavier Warin:
Input Convex Kolmogorov-Arnold Networks. 579- - Kieran Ricardo, David Lee, Kenneth Duru:
Thermodynamic Consistency and Structure-Preservation in Summation by Parts Methods for the Moist Compressible Euler Equations. 517- - Hang Wang, Raf Vandebril, Joeri Van der Veken, Nick Vannieuwenhoven:
Manifold-Valued Function Approximation from Multiple Tangent Spaces. 1734- - Tommaso Taddei:
Erratum: A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction. 1839- - Antoine Bensalah, Anthony Nouy, Joel Soffo:
Nonlinear Manifold Approximation Using Compositional Polynomial Networks. 1685-
Volume 48, Number 4, 2026
- Sifan Liu:
Transport Quasi-Monte Carlo. 658- - Xianjin Yang, Houman Owhadi:
A Minibatch Method for Solving Nonlinear PDEs with Gaussian Processes. 635- - Chao Wang, Huiwen Zheng, Raymond H. F. Chan, You-Wei Wen:
Variational Bayesian Inference for Tensor Robust Principal Component Analysis. 684- - Daniele Boffi, Fabio Credali, Lucia Gastaldi:
On the Stability and Conditioning of a Fictitious Domain Formulation for Fluid-Structure Interaction Problems. 1843- - Michael F. Herbst, Bonan Sun:
Efficient Krylov Methods for Linear Response in Plane-Wave Electronic Structure Calculations. 571-
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