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SIAM Journal on Scientific Computing, Volume 47
Volume 47, Number 1, 2025
- Tobias Sproll, Anton Schiela:

Numerical Solution of an Identification Problem in Electromyography. 1- - Ling Liu, Junjie Ma

:
Convolution Quadratures Based on Block Generalized Adams Methods. 24- - Fabian Böhm, Daniel Bauer

, Nils Kohl, Christie L. Alappat
, Dominik Thönnes
, Marcus Mohr
, Harald Köstler, Ulrich Rüde:
Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids. 131- - Cecilia Pagliantini, Federico Vismara

:
Fully Adaptive Structure-Preserving Hyper-reduction of Parametric Hamiltonian Systems. 124- - Paul Schwerdtner

, Manuel Schaller:
Structured Optimization-Based Model Order Reduction for Parametric Systems. 72- - Jay Gopalakrishnan

, Jacob Grosek
, Gabriel Pinochet-Soto
, Pieter Vandenberge:
Adaptive Resolution of Fine Scales in Modes of Microstructured Optical Fibers. 108- - Paola Allegrini, Marie Hélène Vignal:

Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations. 268- - David Mora

, Alberth Silgado
:
Stream Virtual Elements for the Navier-Stokes System: Nonstandard Boundary Conditions and Variable Recovery Algorithms. 207- - Tyler E. Maltba

, Hongli Zhao
, Daniel A. Maldonado:
Data-Driven Closures and Assimilation for Stiff Multiscale Random Dynamics. 52- - Yichen Guo

, Eric de Sturler
, Tim Warburton
:
Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods. 238- - Nicola Guglielmi, Ernst Hairer:

Applying Stiff Integrators for Ordinary Differential Equations and Delay Differential Equations to Problems with Distributed Delays. 102- - Yue Wang

, Chao Zhang
, Xiaojun Chen:
An Augmented Lagrangian Method for Training Recurrent Neural Networks. 22- - Nan Lu

, Yushun Wang
, Yajuan Sun:
Geometric Integration for the Linear-Gradient System. 46- - Jiangxing Wang, Li-Lian Wang, Bo Wang

:
A Novel PML-Type Technique for Acoustic Scattering Problems Based on a Real Coordinate Transformation. 153- - Guo-Dong Zhang, Xiaoming He

, Xiaofeng Yang:
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems. 28- - Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner

:
Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation Using the Range-Separated Tensor Format. 87- - Zezheng Song

, Maria K. Cameron, Haizhao Yang
:
A Finite Expression Method for Solving High-Dimensional Committor Problems. 1- - Zhaoyang Wang

, Ping Lin, Junxiang Yang:
Stability and Error Analysis of Structure-Preserving Schemes for a Diffuse-Interface Tumor Growth Model. 59- - Emmanuel Audusse, Virgile Dubos, Noémie Gaveau, Yohan Penel:

Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force. 1- - Tobias Breiten

, Karl Kunisch, Jesper Schröder
:
Numerical Realization of the Mortensen Observer via a Hessian-Augmented Polynomial Approximation of the Value Function. 181- - Davide Evangelista

, Elena Loli Piccolomini
, Elena Morotti
, James G. Nagy
:
To Be or Not to Be Stable, That Is the Question: Understanding Neural Networks for Inverse Problems. 77- - Lukas Baumgärtner

, Ronny Bergmann
, Roland Herzog
, Stephan Schmidt
, José Vidal-Núñez, Manuel Weiß:
Mesh Denoising and Inpainting Using the Total Variation of the Normal and a Shape Newton Approach. 300- - Salman Ahmadi-Asl

, Valentin Leplat, Anh Huy Phan, Andrzej Cichocki:
Nonnegative Tensor Decomposition via Collaborative Neurodynamic Optimization. 100- - Benjamin P. Russo, M. Paul Laiu, Richard Archibald

:
Streaming Compression of Scientific Data via Weak-SINDy. 207- - Gayatri Caklovic, Thibaut Lunet, Sebastian Götschel

, Daniel Ruprecht
:
Improving Efficiency of Parallel Across the Method Spectral Deferred Corrections. 430- - Nicola Parolini

, Andrea Poiatti
, Julian Vene', Marco Verani
:
Structure-Preserving Neural Networks in Data-Driven Rheological Models. 182- - Christopher J. Geoga:

Fast Machine-Precision Spectral Likelihoods for Stationary Time Series. 472- - Guanglian Li

, Jing Li, Julie Merten, Yifeng Xu
, Shengfeng Zhu
:
Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian. 374- - Shiheng Zhang

, Jiahao Zhang, Jie Shen
, Guang Lin
:
A Relaxed Vector Auxiliary Variable Algorithm for Unconstrained Optimization Problems. 126- - Hao Dong, Xiaofei Guan

, Yufeng Nie:
Multiscale Method and Convergence Analysis for Coupled Nonlinear Thermomechanical Problems in Heterogeneous Shells. 190- - Malte B. Höltershinken

, Pia Lange
, Tim Erdbrügger, Yvonne Buschermöhle
, Fabrice Wallois, Alena Buyx, Sampsa Pursiainen
, Johannes Vorwerk
, Christian Engwer
, Carsten H. Wolters
:
The Local Subtraction Approach for EEG and MEG Forward Modeling. 160- - Alexey Voronin

, Scott P. MacLachlan
, Luke N. Olson, Raymond S. Tuminaro:
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. 343- - Thomas Bellotti, Philippe Helluy, Laurent Navoret:

Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems. 586- - Rüdiger Frey, Verena Köck:

Convergence Analysis of the Deep Splitting Scheme: The Case of Partial Integro-Differential Equations and the Associated Forward Backward SDEs with Jumps. 527- - Oleg Balabanov, Laura Grigori:

Randomized Block Gram-Schmidt Process for the Solution of Linear Systems and Eigenvalue Problems. 553- - Pedro R. S. Antunes, Vinicius Santos, Pedro Serranho

:
The MFS-SVD Method for the Laplace Equation in Three Dimensions. 454- - Olga Mula

, Cecilia Pagliantini, Federico Vismara:
Dynamical Approximation and Sensor Placement for Filtering Problems. 403- - Tommaso Taddei

:
Compositional Maps for Registration in Complex Geometries. 220- - Alena Kopanicáková

, George Em Karniadakis:
DeepONet Based Preconditioning Strategies for Solving Parametric Linear Systems of Equations. 151- - Harri Hakula

, Antti Rasila
:
Laplace-Beltrami Equations and Numerical Conformal Mappings on Surfaces. 325-
Volume 47, Number 2, 2025
- Patricia Diaz de Alba

, Luisa Fermo
, Giuseppe Rodriguez
:
Anti-Gauss Cubature Rules with Applications to Fredholm Integral Equations on the Square. 689- - Philippe Marchner

, Hadrien Bériot
, S. Le Bras
, Xavier Antoine
, Christophe Geuzaine
:
A Domain Decomposition Solver for Large Scale Time-Harmonic Flow Acoustics Problems. 333- - Xun Tang, Leah Collis

, Lexing Ying
:
Solving High-Dimensional Kolmogorov Backward Equations with Functional Hierarchical Tensor Operators. 613- - Abhishek Mishra

, David Salac
, Matthew G. Knepley
:
Stencil Composition for Finite Difference Approximations of Partial Differential Equations. 657- - Yunwen Yin

, Liang Yan
:
Physics-Aware Deep Learning Framework for the Limited Aperture Inverse Obstacle Scattering Problem. 313- - Mark F. Adams

, Peng Wang, Jacob Merson, Kevin A. Huck
, Matthew G. Knepley
:
A Performance Portable, Fully Implicit Landau Collision Operator with Batched Linear Solvers. 360- - Cu Cui

, Paul Grosse-Bley, Guido Kanschat
, Robert Strzodka:
An Implementation of Tensor Product Patch Smoothers on GPUs. 280- - Maxim A. Olshanskii, Arnold Reusken, Paul Schwering:

A Narrow Band Finite Element Method for the Level Set Equation. 762- - Owen Davis, Gianluca Geraci, Mohammad Motamed:

Deep Learning without Global Optimization by Random Fourier Neural Networks. 265- - Xi Liu

, Chengjie Zhan, Ying Chen
, Zhenhua Chai
, Baochang Shi:
A Consistent and Conservative Diffuse-Domain Lattice Boltzmann Method for Multiphase Flows in Complex Geometries. 308- - Moaad Khamlich, Federico Pichi

, Gianluigi Rozza
:
Optimal Transport-Inspired Deep Learning Framework for Slow-Decaying Kolmogorov \({n}\)-Width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel. 235- - Tue Boesen

, Eldad Haber, Uri M. Ascher:
Neural DAEs: Constrained Neural Networks. 291- - Chang Chen, Chi-Wang Shu

:
A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations. 713- - Villiam Bortolotti, Germana Landi, Fabiana Zama

:
Uniform Multipenalty Regularization for Linear Ill-Posed Inverse Problems. 790- - Bangti Jin

, Qingle Lin
, Zhi Zhou
:
Optimizing Coarse Propagators in Parareal Algorithms. 735- - Bastian Zapf, Johannes Haubner, Lukas Baumgärtner

, Stephan Schmidt
:
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization. 253- - Philipp Krah

, Arthur Marmin
, Beata Zorawski, Julius Reiss
, Kai Schneider
:
A Robust Shifted Proper Orthogonal Decomposition: Proximal Methods for Decomposing Flows with Multiple Transports. 633- - Alfredo Buttari

, Théo Mary, André Pacteau:
Truncated QR Factorization with Pivoting in Mixed Precision. 382- - Martin J. Gander, Yongxiang Liu:

Optimized Schwarz Methods for Biharmonic Equations. 1040- - Ruowen Liu, Hai Zhu, Hanliang Guo, Marc Bonnet, Shravan K. Veerapaneni:

Shape Optimization of Slip-Driven Axisymmetric Microswimmers. 1065- - Jaemin Oh

, Seung-Yeon Cho
, Seok-Bae Yun, Eunbyung Park, Youngjoon Hong:
Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation. 451- - Junming Duan

, Wasilij Barsukow, Christian Klingenberg:
Active Flux Methods for Hyperbolic Conservation Laws - Flux Vector Splitting and Bound-Preservation. 811- - Rishabh Bhatt

, Laurent Debreu, Arthur Vidard:
Introducing Time Parallelization Within Data Assimilation. 533- - Jianfeng Ning

, Fuqun Han, Jun Zou:
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data. 343- - Kai Cheng, Ralf Zimmermann:

Adaptive Data-Driven Probabilistic Reduced-Order Models for Parameterized Dynamical Systems. 426- - Ivan Bioli

, Daniel Kressner
, Leonardo Robol:
Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations. 1091- - Shimin Guo, Wenjing Yan, Liquan Mei:

IMEX Hermite-Galerkin Spectral Method for Incompressible Hall-Magnetohydrodynamic Flow with Variable Density. 505- - Lizhen Qin, Feng Wang, Yun Wang:

A Parallel Domain Decomposition Method for Solving Elliptic Equations on Manifolds. 916- - Jiaxi Zhao, Qianxiao Li:

Mitigating Distribution Shift in Machine Learning-Augmented Hybrid Simulation. 475- - Tino Laidin

, Lorenzo Pareschi
:
Conservative Polynomial Approximations and Applications to Fokker-Planck Equations. 1279- - David Schneider

, Benjamin Uekermann:
Efficient Partition-of-Unity Radial-Basis-Function Interpolation for Coupled Problems. 558- - Roy H. Goodman

, Grace Conte, Jeremy Louis Marzuola:
QGLAB: A MATLAB Package for Computations on Quantum Graphs. 428- - Christian Jacobsen

, Yilin Zhuang, Karthik Duraisamy
:
CoCoGen: Physically Consistent and Conditioned Score-Based Generative Models for Forward and Inverse Problems. 399- - Philip Greengard:

Efficient Fourier Representations of Families of Gaussian Processes. 971- - Yuan Chen

, Dongbin Xiu, Xiangxiong Zhang
:
On Enforcing Nonnegativity in Polynomial Approximations in High Dimensions. 866- - Alex Kleb

, Krzysztof J. Fidkowksi, Joaquim R. R. A. Martins:
Automatic Difference Operators for the Eikonal Equation. 991- - Joseph Nakao

, Jing-Mei Qiu, Lukas Einkemmer
:
Reduced Augmentation Implicit Low-Rank (RAIL) Integrators for Advection-Diffusion and Fokker-Planck Models. 1145- - Jindong Wang

, Shuonan Wu
:
A Robust Solver for \({H}\)\((\textrm {curl})\) Convection-Diffusion and Its Local Fourier Analysis. 838- - Albert Jiménez-Ramos, Abel Gargallo-Peiró

, Xevi Roca:
Approximating Optimal Points of a Lebesgue Constant Proxy for Interpolation in the Simplex. 889- - Ada J. Ellingsrud

, Pietro Benedusi
, Miroslav Kuchta:
A Splitting, Discontinuous Galerkin Solver for the Cell-by-Cell Electroneutral Nernst-Planck Framework. 477- - Sebastian Acosta

, Tahsin Khajah, Benjamín Palacios
:
A New Interpolated Pseudodifferential Preconditioner for the Helmholtz Equation in Heterogeneous Media. 1017- - Rong Du, Duy-Minh Dang:

Fourier Neural Network Approximation of Transition Densities in Finance. 529- - Wei Hou

, Tim Colonius:
Fast and Robust Method for Screened Poisson Lattice Green's Function Using Asymptotic Expansion and Fast Fourier Transform. 1198- - Jae Yong Lee

, Seungchan Ko, Youngjoon Hong:
Finite Element Operator Network for Solving Elliptic-Type Parametric PDEs. 501- - Stef Graillat, Théo Mary:

Condense and Distill: Fast Distillation of Large Floating-Point Sums via Condensation. 583- - Harpal Singh, Arbaz Khan

:
Divergence Conforming DG Method for the Optimal Control of the Oseen Equation with Variable Viscosity. 1251- - Alexander Heinlein

, Kathrin Smetana
:
Algebraic Construction of Adaptive Coarse Spaces for Two-Level Schwarz Preconditioners. 1170- - Joe Kileel, Nicholas F. Marshall, Oscar Mickelin

, Amit Singer:
Fast Expansion Into Harmonics on the Ball. 1117- - Michael S. Ackermann

, Serkan Gugercin
:
Frequency-Based Reduced Models from Purely Time-Domain Data via Data Informativity. 1225- - Zhuoyun Li, Kailiang Wu:

Spectral Volume from a Discontinuous Galerkin Perspective: Oscillation Elimination, Stability, and Optimal Error Estimates. 1304- - Fatemeh Yaghoobi, Adrien Corenflos, Sakira Hassan

, Simo Särkkä:
Parallel Square-Root Statistical Linear Regression for Inference in Nonlinear State Space Models. 454- - Lei Xu, Qingyang Zhang, Kai Lu, Zhengzheng Yan, Chunye Gong, Shengguo Li, Lin Chen, Xinhai Chen, Xuchuan Lin, Jie Liu, Zheng Wang, Rongliang Chen:

Towards Megacity-Scale Wind Flow Simulations on Many-Core CPU-Accelerator Systems. 402- - Davide Bianchi

, Davide Evangelista, Stefano Aleotti, Marco Donatelli
, Elena Loli Piccolomini
, Wenbin Li
:
A Data-Dependent Regularization Method Based on the Graph Laplacian. 369- - Hsuan-Cheng Wu, Jingyao Wang, Xiantao Li:

Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions. 943-
Volume 47, Number 3, 2025
- Haifan Chen, Guozhi Dong

, José A. Iglesias
, Wei Liu
, Ziqing Xie:
Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes. 1604- - Michael S. Ackermann

, Serkan Gugercin
:
Time-Domain Iterative Rational Krylov Method. 1628- - Yuchen Lou, Shigeng Sun, Jorge Nocedal:

Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design. 1335- - Lidia Aceto

, Dajana Conte
, Giovanni Pagano
:
Modified TASE Runge-Kutta Methods for Integrating Stiff Differential Equations. 1652- - Angelo A. Casulli, Igor Simunec

:
A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions. 1358- - Robin Armstrong

, Alex Buzali
, Anil Damle
:
Structure-Aware Analyses and Algorithms for Interpolative Decompositions. 1527- - Alexandre Ern, Jean-Luc Guermond

:
Third-Order Sectorially A-Stable Alternating Implicit Runge-Kutta Schemes. 1579- - Erin C. Carson

, Xinye Chen, Xiaobo Liu
:
Mixed Precision HODLR Matrices. 1408- - Yunhui He

, Maxim A. Olshanskii
:
A Preconditioner for the Grad-Div Stabilized Equal-Order Finite Elements Discretizations of the Oseen Problem. 1486- - Sivaram Ambikasaran, Ritesh Khan

, Johannes Tausch
, Sihao Wang:
A Hybrid Interpolation ACA Accelerated Method for Parabolic Boundary Integral Operators. 1507- - Michael V. Klibanov, Jingzhi Li

, Vladimir G. Romanov, Zhipeng Yang
:
Convexification for the 3D Problem of Travel Time Tomography. 1436- - Thivin Anandh

, Divij Ghose
, Himanshu Jain, Sashikumaar Ganesan
:
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries. 578- - Yuqi Liu

, José E. Román
, Meiyue Shao
:
Improving Performance of Contour Integral-Based Nonlinear Eigensolvers with Infinite GMRES. 595- - Stephen J. Thomas, Allison H. Baker

, Stéphane Gaudreault:
Augmented MGS-CGS Block-Arnoldi Recycling Solvers. 1458- - Qian Zhang

, Chenxi Wu
, Adar Kahana
, George Em Karniadakis
, Youngeun Kim, Yuhang Li, Priyadarshini Panda:
Artificial to Spiking Neural Networks Conversion with Calibration in Scientific Machine Learning. 559- - Mirco Ciallella

, Thomas Milcent:
Semi-implicit Eulerian Method for the Fluid Structure Interaction of Elastic Membranes. 1555- - Samuel S. Olivier

, Ben S. Southworth
, James S. Warsa, HyeongKae Park:
Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport. 1383- - Xiaolin Liu, Kuan Deng, Kuan Xu:

Spectral Approximation of Convolution Operators of Fredholm Type. 1964- - Heather Wilber, Ethan N. Epperly

, Alex H. Barnett:
Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares. 1702- - Maximilian Bergbauer

, Peter Munch, Wolfgang A. Wall, Martin Kronbichler
:
High-Performance Matrix-Free Unfitted Finite Element Operator Evaluation. 665- - Chen Cui

, Kai Jiang, Shi Shu:
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media. 655- - Jingwei Hu

, Samuel Q. Van Fleet
, Andy T. S. Wan:
Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations. 1835- - Sheng Chen

, Weiwei Sun, Shuai Wu
:
Efficient Spectral-Element Methods in Polar Coordinates for Complex Geometries with Piecewise-Smooth Boundaries. 1907- - Siqi Wei, Victoria Guenter, Raymond J. Spiteri

:
Improving the Stability and Efficiency of Operator-Splitting Methods. 1888- - Kobe Bruyninckx

, Daan Huybrechs
, Karl Meerbergen
:
Uniform \(\mathcal {H}\)-Matrix Compression with Applications to Boundary Integral Equations. 618- - Tyler Chen

, Thomas Trogdon, Shashanka Ubaru:
Randomized Matrix-Free Quadrature: Unified and Uniform Bounds for Stochastic Lanczos Quadrature and the Kernel Polynomial Method. 1733- - Tom-Christian Riemer, Alexandra Bünger, Martin Stoll

:
IETI-Based Low-Rank Method for PDE-Constrained Optimization. 1758- - Jiajia Guo

, Selim Esedoglu:
Median Filters for Anisotropic Wetting / Dewetting Problems. 2012- - Mark Ainsworth, Justin Dong

:
Extended Galerkin Neural Network Approximation of Singular Variational Problems with Error Control. 738- - Taejun Park

, Yuji Nakatsukasa:
Low-Rank Approximation of Parameter-Dependent Matrices via CUR Decomposition. 1858- - Wansheng Wang

, Jie Wang, Jinping Li, Feifei Gao, Yi Fu, Zaijun Ye
:
Deep Learning Numerical Methods for High-Dimensional Quasilinear PIDEs and Coupled FBSDEs with Jumps. 706- - Harald Garcke, Wei Jiang

, Chunmei Su, Ganghui Zhang:
Structure-Preserving Parametric Finite Element Method for Surface Diffusion Based on Lagrange Multiplier Approaches. 1983- - Álvaro Pé de la Riva, Francisco José Gaspar, Xiaozhe Hu

, James H. Adler
, Carmen Rodrigo, Ludmil T. Zikatanov:
Oscillation-Free Numerical Schemes for Biot's Model and Their Iterative Coupling Solution. 1809- - Liang Chen, Yaru Chen, Qiuqi Li

, Tao Zhou:
A Dynamical Variable-Separation Method for Parameter-Dependent Dynamical Systems. 1783- - Leila Taghizadeh

, Ansgar Jüngel:
Bayesian Inversion for the Identification of the Doping Profile in Unipolar Semiconductor Devices. 690- - Rawin Youngnoi

:
Improving Convergence in Stochastic Galerkin Finite Element Methods via Truncation Preconditioners. 1937- - Maikel W. M. C. Bertens, M. J. H. Anthonissen, J. H. M. ten Thije Boonkkamp, Wilbert L. IJzerman:

An Iterative Least-Squares Method for the Hyperbolic Monge-Ampère Equation with Transport Boundary Condition. 735- - Michael V. Tretyakov:

Sampling from Mixture Distributions Based on Regime-Switching Diffusions. 1681- - Ming-Chih Lai

, Yongcun Song
, Xiaoming Yuan, Hangrui Yue, Tianyou Zeng:
The Hard-Constraint PINNs for Interface Optimal Control Problems. 601- - Zheyuan Hu

, Zhongqiang Zhang, George E. Karniadakis, Kenji Kawaguchi:
Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations. 680- - Weizhu Bao, Qinglin Tang

, Yongjun Yuan:
A Normalized Gradient Flow Method for Computing Ground States of Spin-2 Bose-Einstein Condensates. 710- - Michal Wichrowski

, Peter Munch, Martin Kronbichler
, Guido Kanschat:
Smoothers with Localized Residual Computations for Geometric Multigrid Methods for Higher-Order Finite Elements. 645- - Xingjie Li, Fei Lu, Molei Tao, Felix X.-F. Ye

:
Robust First- and Second-Order Differentiation for Regularized Optimal Transport. 630-
Volume 47, Number 4, 2025
- Ronald Kriemann:

Hierarchical Low-Rank Arithmetic with Floating Point Compression. 763- - Fan Zhang

, Jian Cheng
:
Bound-Preserving and Positivity-Preserving Analysis of Direct Arbitrary Lagrangian-Eulerian Finite Volume Scheme for Compressible Two-Medium Flows with Stiffened Gas Equation of State. 899- - Chinmay Datar

, Adwait Datar
, Felix Dietrich
, Wil Schilders:
Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems. 820- - Rafael Flock

, Shuigen Liu
, Yiqiu Dong
, Xin T. Tong
:
Local MALA-within-Gibbs for Bayesian Image Deblurring with Total Variation Prior. 2127- - Zhaoxing Chen, Wei Liu

, Ziqing Xie, Wenfan Yi:
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs. 2098- - Hongli Zhao

, Daniel M. Tartakovsky
:
Discovery of Linear Representations for Nonautonomous Translation-Invariant Problems. 2074- - Yue Feng

, Georg Maierhofer
, Chushan Wang
:
Explicit Symmetric Low-Regularity Integrators for the Nonlinear Schrödinger Equation. 2154- - Riccardo Bardin

, Matthias Schlottbom
:
On Accelerated Iterative Schemes for Anisotropic Radiative Transfer Using Residual Minimization. 801- - Robert Altmann, Matthias Deiml

:
A Second-Order Iterative Time Integration Scheme for Linear Poroelasticity. 875- - Zheyuan Hu

, Zhouhao Yang
, Yezhen Wang, George E. Karniadakis
, Kenji Kawaguchi:
Bias-Variance Trade-Off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs. 846- - Zecheng Gan

, Xuanzhao Gao
, Jiuyang Liang
, Zhenli Xu
:
Random Batch Ewald Method for Dielectrically Confined Coulomb Systems. 846- - Zhen Zhang, Chenye Wang, Shanqing Liu, Jérôme Darbon, George Em Karniadakis

:
A Time-Dependent Symplectic Network for Nonconvex Path Planning Problems with Linear and Nonlinear Dynamics. 769- - Shaolin Ji

, Shige Peng, Ying Peng, Xichuan Zhang
:
A Novel Control Method for Solving High-Dimensional Hamiltonian Systems Through Deep Neural Networks. 873- - Yongle Liu

, Wasilij Barsukow:
An Arbitrarily High-Order Fully Well-balanced Hybrid Finite Element-Finite Volume Method for a One-dimensional Blood Flow Model. 2041- - Wei Cai

, Shuixin Fang
, Tao Zhou:
SOC-MartNet: A Martingale Neural Network for the Hamilton-Jacobi-Bellman Equation Without Explicit \(\boldsymbol{\inf\nolimits_{u \in}}\)\(\boldsymbol{{}_{U}H}\) in Stochastic Optimal Controls. 795- - Théo Mary, Mantas Mikaitis:

Error Analysis of Matrix Multiplication with Narrow Range Floating-Point Arithmetic. 785- - Juan Ignacio Polanco

:
Fast and Accurate Evaluation of Biot-Savart Integrals over Spatial Curves in Periodic Domains. 822- - Natasha S. Sharma

, Giordano Tierra
:
Unconditionally Energy Stable Second-Order Numerical Scheme for a Microemulsion Model. 925- - Lloyd N. Trefethen, Heather D. Wilber:

Computation of Zolotarev Rational Functions. 2205- - Chuan Wang

, Xi-Le Zhao, Yu-Bang Zheng, Ben-Zheng Li, Michael K. Ng:
Functional Tensor Singular Value Decomposition. 2180- - Zheyu Oliver Wang, Ricardo Baptista, Youssef Marzouk, Lars Ruthotto

, Deepanshu Verma:
Efficient Neural Network Approaches for Conditional Optimal Transport with Applications in Bayesian Inference. 979- - Erin C. Carson

, Yuxin Ma
:
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram-Schmidt. 2353- - Ömer Deniz Akyildiz, Mark Girolami, Andrew M. Stuart, Arnaud Vadeboncoeur

:
Efficient Prior Calibration from Indirect Data. 932- - Gianluca Ceruti, Daniel Kressner

, Dominik Sulz
:
Low-Rank Tree Tensor Network Operators for Long-Range Pairwise Interactions. 2248- - Maximilian Penka:

Genetic Column Generation for Computing Lower Bounds for Adversarial Classification. 959- - Shi Jin, Nana Liu, Chuwen Ma:

Schrödingerization Based Computationally Stable Algorithms for Ill-Posed Problems in Partial Differential Equations. 976- - Shihan Guo

, Yizhong Sun
, Yifan Wang
, Xiaohe Yue
, Haibiao Zheng
:
A Fully Parallelizable Loosely Coupled Scheme for Fluid-Poroelastic Structure Interaction Problems. 951- - Hussam Al Daas

, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier:
A Robust Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices. 2378- - Michel Bergmann, Michele Giuliano Carlino, Angelo Iollo:

Model Order Reduction Using a Collocation Scheme on Chimera Meshes: Addressing the Kolmogorov \({N}\)-Width Barrier. 2272- - Dingcheng Luo

, Thomas O'Leary-Roseberry, Peng Chen, Omar Ghattas:
Efficient PDE-Constrained Optimization Under High-Dimensional Uncertainty Using Derivative-Informed Neural Operators. 899- - Bas Symoens, Wim Vanroose

:
ResQPASS: An Algorithm for Bounded Variable Linear Least Squares with Asymptotic Krylov Convergence. 2299- - Zhifeng Weng, Shuying Zhai, Xinlong Feng:

Numerical Approximation of the Nonlocal Ternary Viscous Cahn-Hilliard Model Based on a High Order Explicit Hybrid Algorithm. 2221- - Halyun Jeong

, Deanna Needell:
Linear Convergence of Reshuffling Kaczmarz Methods with Sparse Constraints. 2323- - Kyriakos Georgiou, Constantinos I. Siettos, Athanasios N. Yannacopoulos:

Fredholm Neural Networks. 1006-
Volume 47, Number 5, 2025
- Shijun Zhang

, Hongkai Zhao
, Yimin Zhong
, Haomin Zhou
:
Structured and Balanced Multicomponent and Multilayer Neural Networks. 1059- - Aidi Li

, Yuwen Li
:
A New Rational Approximation Algorithm via the Empirical Interpolation Method. 2559- - Bo Lin

, Weiqing Ren
:
A Deep Learning Method for Computing Committor Functions with Adaptive Sampling. 1091- - Sawyer Jack Robertson

, Dhruv Kohli
, Gal Mishne
, Alexander Cloninger:
On a Generalization of Wasserstein Distance and the Beckmann Problem to Connection Graphs. 2774- - James Chok

, Geoffrey M. Vasil:
Rational Function Approximation with Normalized Positive Denominators. 2699- - Stéphane Del Pino, Bruno Després, Alexiane Plessier:

An Implicit Well-Posed Lagrangian Scheme for Nonviscous Compressible Fluids in High Dimension. 2636- - Nedialko S. Nedialkov

, John D. Pryce
:
Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations. 2746- - Zhitao Zhu

, Chuanfu Xiao
, Kejun Tang, Jizu Huang
, Chao Yang
:
APTT: Accuracy-Preserved Tensor-Train Method for the Boltzmann-BGK Equation. 2672- - Yvan Notay

:
An Algebraic Multigrid Method for Oseen Problems. 2506- - Guanghui Hu, Ruo Li, Hongfei Zhan

:
A Gradient Flow Model for Ground State Calculations in Wigner Formalism Based on Density Functional Theory. 2456- - Baojun Che, Yifan Chen

, Zhenghao Huan, Daniel Zhengyu Huang
, Weijie Wang:
Stable Derivative Free Gaussian Mixture Variational Inference for Bayesian Inverse Problems. 2583- - Youngdae Kim

, François Pacaud, Michel Schanen
, Kibaek Kim
, Mihai Anitescu
:
Leveraging GPU Batching for Scalable Nonlinear Programming through Massive Lagrangian Decomposition. 1133- - Han D. Tran, Siddharth Saurav, Sandip Mazumder, P. Sadayappan, Hari Sundar:

Parallel Computation of the Phonon Boltzmann Transport Equation for Simulation of Frequency Domain Thermo-reflectance (FDTR) Experiments. 1001- - Santolo Leveque

, Michele Benzi, Patrick E. Farrell
:
An Augmented Lagrangian Preconditioner for the Control of the Navier-Stokes Equations. 2431- - Tjeerd Jan Heeringa

, Christoph Brune
, Mengwu Guo
:
Sparsifying Dimensionality Reduction of PDE Solution Data with Bregman Learning. 1033- - Jeffrey S. Ovall

, Li Zhu
:
A Canonical Gauge for Computing of Eigenpairs of the Magnetic Schrödinger Operator. 1026- - Guozhi Dong

, Hailong Guo
, Shuo Yang
:
Accelerated Gradient Flows for Large Bending Deformations of Nonlinear Plates. 2481- - Yunxia Sun

, Kaiyi Liang
, Yuke Zhu, Zhi Lin
, Qinghai Zhang
:
Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-Dimensional Advection Equation on Arbitrarily Complex Domains. 2722- - Qiao Chen, Élise Arnaud, Ricardo Baptista, Olivier Zahm

:
Coupled Input-Output Dimension Reduction: Application to Goal-oriented Bayesian Experimental Design and Global Sensitivity Analysis. 2403- - Xiaotao Zhang

, Chengliang Feng, Tiegang Liu
:
A Second-Order Modified Ghost Fluid Method (2nd-MGFM) for 2D Planar and Axisymmetric Compressible Multimedium Flows. 1104- - Yali Gao, Jiashun Hu

, Buyang Li
:
A Stabilized Arbitrary Lagrangian-Eulerian Sliding Interface Method for Fluid-Structure Interaction with a Rotating Rigid Structure. 2533- - Rhys Hawkins

, Muhammad Hamza Khalid
, Matthias Schlottbom
, Kathrin Smetana
:
Model Order Reduction for Seismic Applications. 1045- - Xin Liu, Yong Zhang

:
An Efficient High-Order Compact Splitting Spectral Method for Dipolar Bose-Einstein Condensates with Arbitrary-Angle Rotation. 1077- - Tommaso Buvoli

, Ben S. Southworth
:
A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems. 2609- - Sreeram Venkat, Milinda Fernando, Stefan Henneking

, Omar Ghattas
:
Fast and Scalable FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices with Application to Linear Inverse Problems Governed by Autonomous Dynamical Systems. 1201- - Alberto Bucci

, Davide Palitta
, Leonardo Robol:
Randomized Sketched TT-GMRES for Linear Systems with Tensor Structure. 2801- - Ziqi Zhao, Vivek Sarin:

nuGPR: GPU-Accelerated Gaussian Process Regression with Iterative Algorithms and Low-Rank Approximations. 1250- - Martin J. Gander, Michal Outrata

:
Erratum: Spectral Analysis of Implicit \({s}\)-Stage Block Runge-Kutta Preconditioners: Erratum. 3082- - Sheng Gui

, Haikun Dang, Hehu Xie
:
A Nonnested Augmented Subspace Method for the Poisson-Boltzmann Equation. 1175- - Alban Bloor Riley, Marcus Webb

, Michael L. Baker
:
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem. 2963- - Yiwen Lin, Liu Liu:

On a Class of Multifidelity Methods for the Semiclassical Schrödinger Equation with Uncertainties. 2936- - El-Mehdi El Arar

, Massimiliano Fasi
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Probabilistic Error Analysis of Limited-Precision Stochastic Rounding. 1227- - Alexios A. Michailidis

, Christian Fenton, Martin Kiffner:
Element-wise Multiplication of Tensor Trains. 1158- - Nils Schild

, Mario Raeth, Klaus Hallatschek, Katharina Kormann
:
Convergence of Splitting Methods on Rotating Grids for the Magnetized Vlasov Equation. 1272- - Sara Avesani, Rüdiger Kempf, Michael D. Multerer

, Holger Wendland:
Multiscale Scattered Data Analysis in Samplet Coordinates. 3038- - Nicolas Nytko

, Ali Taghibakhshi, Tareq Uz Zaman
, Scott P. MacLachlan
, Luke N. Olson, Matthew West
:
Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation. 1115- - Apoorv Srivastava, Wei Kang, Daniel M. Tartakovsky

:
Information Worth and Assimilation of Binary Data. 3017- - Andrea Bordignon, Eric Cancès, Geneviève Dusson, Gaspard Kemlin

, Rafael Antonio Lainez Reyes, Benjamin Stamm
:
Fully Guaranteed and Computable Error Bounds on the Energy for Periodic Kohn-Sham Equations with Convex Density Functionals. 2881- - Jérémy Dalphin, Jean-Pierre Ducreux, Simon Lemaire

, Silvano Pitassi:
Hybrid High-Order Approximations of Div-Curl Systems on Domains with General Topology. 2988- - Yanfang Liu, Yuan Chen

, Dongbin Xiu, Guannan Zhang
:
A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems. 1144- - Marc Baboulin, Oguz Kaya, Théo Mary, Matthieu Robeyns:

Mixed Precision Iterative Refinement for Low-Rank Matrix and Tensor Approximations. 2906- - Melina A. Freitag

, J. M. Nicolaus
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Learning Stochastic Reduced Models from Data: A Nonintrusive Approach. 2851- - Aurya Javeed, Drew P. Kouri, Denis Ridzal, J. D. Steinman:

A Preconditioner for Spectral Collocation. 2828- - Awad H. Al-Mohy:

A New Algorithm for Computing the Exponential of a Block Triangular Matrix. 3064- - Raphael S. Fernandes, Emmanuil H. Georgoulis, Alberto Paganini

:
Level-Set Shape Optimization via Polytopic Discontinuous Galerkin Methods. 1293-
Volume 47, Number 6, 2025
- Ignace Bossuyt

, Stefan Vandewalle, Giovanni Samaey:
Monte Carlo-Moments Micro-Macro Parareal Method for Unimodal and Bimodal Scalar McKean-Vlasov SDEs. 3239- - Esteban Henríquez

, Jeonghun J. Lee
, Sander Rhebergen
:
Parameter-Robust Preconditioning for Hybridizable Symmetric Discretizations. 3212- - Manuel Haas, Thomas Grandits, Thomas Pinetz, Thomas Beiert, Simone Pezzuto

, Alexander Effland
:
Finite Element-Based Space-Time Total-Variation-Type Regularization of the Inverse Problem in Electrocardiographic Imaging. 1317- - Zhen Hao

, Ning Jiang, Liu Liu:
An Efficient Asymptotic-Preserving Scheme for the Boltzmann Mixture with Disparate Mass. 3108- - Paul Schwerdtner

, Serkan Gugercin
, Benjamin Peherstorfer:
Empirical Sparse Regression on Quadratic Manifolds. 3085- - Zhenning Cai

, Xiaoyu Dong, Jingwei Hu
:
Symmetric Gauss-Seidel Method with a Preconditioned Fixed-Point Iteration for the Steady-State Boltzmann Equation. 1343- - Oliver A. Krzysik

, Hans De Sterck
, Robert D. Falgout
, Jacob B. Schroder
:
Parallel-in-Time Solution of Scalar Nonlinear Conservation Laws. 3134- - Yongle Liu

:
A Well-balanced Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Method for Shallow Water Equations with Horizontal Temperature Gradients on Triangular Meshes. 3185- - Petr Tichavský

, Ondrej Straka
, Ivo Puncochár:
Discrete Time Dynamic Programming Using Tensor Trains. 3161- - Xingbang Cui

, Xiaojun Chen
:
Bilevel Optimization with Convex Majorant Approach for Training Sparse Neural Networks. 1173-

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