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SIAM Journal on Scientific Computing, Volume 46
Volume 46, Number 1, February 2024
- Jiang Hu

, Ruicheng Ao, Anthony Man-Cho So
, Minghan Yang, Zaiwen Wen
:
Riemannian Natural Gradient Methods. 204- - Andrew Gillette

, Brendan Keith, Socratis Petrides
:
Learning Robust Marking Policies for Adaptive Mesh Refinement. 264- - Aaron Charous

, Pierre F. J. Lermusiaux
:
Stable Rank-Adaptive Dynamically Orthogonal Runge-Kutta Schemes. 529- - Dexuan Zhou, Huajie Chen, Cheuk Hin Ho, Christoph Ortner

:
A Multilevel Method for Many-Electron Schrödinger Equations Based on the Atomic Cluster Expansion. 105- - Jeffrey S. Ovall

, Samuel E. Reynolds:
Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells. 338- - Stef Graillat, Fabienne Jézéquel, Théo Mary, Roméo Molina:

Adaptive Precision Sparse Matrix-Vector Product and Its Application to Krylov Solvers. 30- - Tommaso Bevilacqua

, Franco Dassi, Stefano Zampini
, Simone Scacchi:
BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations. 156- - Ren-jun Qi, Xuan Zhao

:
A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations. 130- - Weiguo Gao, Yingzhou Li, Hanxiang Shen:

Weighted Trace-Penalty Minimization for Full Configuration Interaction. 179- - Hans De Sterck:

New SISC Section on Scientific Machine Learning. vii-viii - Hai Van Nguyen

, Tan Bui-Thanh
:
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems. 77- - Xiao Li, Zhonghua Qiao

:
A Second-Order, Linear, \(\boldsymbol{L^\infty}\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation. 429- - Haijian Yang, Rui Li

, Chao Yang
:
Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation. 561- - Xin Liu, Qinglin Tang, Shaobo Zhang

, Yong Zhang:
On Optimal Zero-Padding of Kernel Truncation Method. 23- - Martin J. Gander

, Antoine Tonnoir
:
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations. 1- - Kazuki Koga:

Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations. 360- - Rémi Abgrall:

Staggered Schemes for Compressible Flow: A General Construction. 399- - Wei Guo

, Jing-Mei Qiu
:
A Conservative Low Rank Tensor Method for the Vlasov Dynamics. 232- - Tiangang Cui

, Sergey Dolgov
, Robert Scheichl
:
Deep Importance Sampling Using Tensor Trains with Application to a Priori and a Posteriori Rare Events. 1- - Jonathan Jung, Vincent Perrier:

Behavior of the Discontinuous Galerkin Method for Compressible Flows at Low Mach Number on Triangles and Tetrahedrons. 452- - Shao-Bo Lin

, Di Wang
, Ding-Xuan Zhou:
Sketching with Spherical Designs for Noisy Data Fitting on Spheres. 313- - Zhifang Liu

, Baochen Sun, Xue-Cheng Tai
, Qi Wang
, Huibin Chang
:
A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition. 290- - Shengrong Ding, Kailiang Wu

:
A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations. 50- - Jeahan Jung

, Hyomin Shin, Minseok Choi:
Bayesian Deep Learning Framework for Uncertainty Quantification in Stochastic Partial Differential Equations. 57- - Björn Liljegren-Sailer

, Ion Victor Gosea
:
Data-Driven and Low-Rank Implementations of Balanced Singular Perturbation Approximation. 483- - Shuhao Cao

, Lizhen Qin:
A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds. 376- - Tizian Wenzel, Francesco Marchetti

, Emma Perracchione:
Data-Driven Kernel Designs for Optimized Greedy Schemes: A Machine Learning Perspective. 101- - José Pablo Lucero Lorca

, Natalie Beams
, Damien Beecroft, Adrianna Gillman
:
An Iterative Solver for the HPS Discretization Applied to Three Dimensional Helmholtz Problems. 80- - Ethan N. Epperly

, Joel A. Tropp
:
Efficient Error and Variance Estimation for Randomized Matrix Computations. 508- - Riccardo Tenderini

, Nicholas Mueller
, Simone Deparis:
Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations. 1- - Zewen Shen

, Kirill Serkh
:
Rapid Evaluation of Newtonian Potentials on Planar Domains. 609- - Beiping Duan

, Buyang Li
:
New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution. 587- - Pengfei Yin, Guangqiang Xiao, Kejun Tang, Chao Yang

:
AONN: An Adjoint-Oriented Neural Network Method for All-At-Once Solutions of Parametric Optimal Control Problems. 127-
Volume 46, Number 2, 2024
- Dimitri Breda

, Simone De Reggi
, Rossana Vermiglio:
A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion. 953- - Genming Bai

, Jiashun Hu
, Buyang Li
:
High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation. 1026- - Weizhang Huang, Jinye Shen:

A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains. 744- - Martin J. Gander

, Davide Palitta
:
A New ParaDiag Time-Parallel Time Integration Method. 697- - Paula X. Chen

, Tingwei Meng
, Zongren Zou
, Jérôme Darbon
, George Em Karniadakis
:
Leveraging Multitime Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems. 216- - Balázs Kovács

:
Numerical Surgery for Mean Curvature Flow of Surfaces. 645- - François Vilar

, Rémi Abgrall:
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids. 851- - Marco Caliari

, Fabio Cassini
, Lukas Einkemmer
, Alexander Ostermann
:
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. 906- - Nathan Gaby, Xiaojing Ye

, Haomin Zhou
:
Neural Control of Parametric Solutions for High-Dimensional Evolution PDEs. 155- - Pierre-Henri Cocquet

, Martin J. Gander
:
Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems. 670- - Patrick E. Farrell

, Lawrence Mitchell
, L. Ridgway Scott
:
Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes. 629- - Danimir T. Doncevic, Alexander Mitsos

, Yue Guo
, Qianxiao Li
, Felix Dietrich
, Manuel Dahmen
, Ioannis G. Kevrekidis:
A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms. 719- - Zhen Chen, Anne Gelb

, Yoonsang Lee
:
Learning the Dynamics for Unknown Hyperbolic Conservation Laws Using Deep Neural Networks. 825- - Angelo Casulli, Leonardo Robol

:
An Efficient Block Rational Krylov Solver for Sylvester Equations with Adaptive Pole Selection. 798- - Zhengyi Li

, Yanli Wang, Hongsheng Liu, Zidong Wang, Bin Dong
:
Solving the Boltzmann Equation with a Neural Sparse Representation. 186- - Florian Schäfer, Houman Owhadi

:
Sparse Recovery of Elliptic Solvers from Matrix-Vector Products. 998- - Tobin A. Driscoll

, Yuji Nakatsukasa
, Lloyd N. Trefethen:
AAA Rational Approximation on a Continuum. 929- - Tony Lelièvre, Panos Parpas

:
Using Witten Laplacians to Locate Index-1 Saddle Points. 770- - Nail A. Gumerov, Shoken Kaneko, Ramani Duraiswami

:
Analytical Galerkin Boundary Integrals of Laplace Kernel Layer Potentials in \(\boldsymbol{\mathbb{R}^3}\). 974- - Bo Feng, Gang Wu:

A Block Lanczos Method for Large-Scale Quadratic Minimization Problems with Orthogonality Constraints. 884- - Lena Baumann

, Lukas Einkemmer
, Christian Klingenberg
, Jonas Kusch:
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem. 137- - Julianne Chung

, Jiahua Jiang
, Scot M. Miller, Arvind K. Saibaba
:
Hybrid Projection Methods for Solution Decomposition in Large-Scale Bayesian Inverse Problems. S97-S119 - Shubin Fu

, Eric Chung, Lina Zhao
:
An Efficient Multiscale Preconditioner for Large-Scale Highly Heterogeneous Flow. S352-S377 - Mike A. Botchev

, Leonid Knizhnerman
, Marcel Schweitzer
:
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations. S223-S253 - Stephen J. Thomas, Erin C. Carson

, Miroslav Rozlozník
, Arielle Carr, Katarzyna Swirydowicz:
Iterated Gauss-Seidel GMRES. S254-S279 - Ralf Zimmermann

, Ronny Bergmann
:
Multivariate Hermite Interpolation on Riemannian Manifolds. 1276- - Peter Munch

, Ivo Dravins
, Martin Kronbichler
, Maya G. Neytcheva
:
Stage-Parallel Fully Implicit Runge-Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit. S71-S96 - Yingzhi Liu, Fenfen Qi, Xiao-Chuan Cai

:
A One-Dimensional Coarse Preconditioner for Three-Dimensional Unsteady Incompressible Navier-Stokes Flows in Patient-Specific Arteries. S1-S23 - Difeng Cai

, Hua Huang, Edmond Chow
, Yuanzhe Xi
:
Data-Driven Construction of Hierarchical Matrices With Nested Bases. S24-S50 - Rachel Minster, Zitong Li, Grey Ballard

:
Parallel Randomized Tucker Decomposition Algorithms. 1186- - Doruk Aksoy

, David J. Gorsich, Shravan K. Veerapaneni, Alex A. Gorodetsky:
An Incremental Tensor Train Decomposition Algorithm. 1047- - Xiaozhe Hu

, Junyuan Lin
:
Solving Graph Laplacians via Multilevel Sparsifiers. S378-S400 - Qifan Chen, Zheng Sun

, Yulong Xing
:
The Runge-Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws. 1327- - Jianlin Xia:

Making the Nyström Method Highly Accurate for Low-Rank Approximations. 1076- - Jan Blechta

, Oliver G. Ernst
:
Efficient Solution of Parameter Identification Problems with \(H^1\) Regularization. 1160- - Guo-Dong Zhang, Xiaoming He

, Xiaofeng Yang:
A Unified Framework of the SAV-ZEC Method for a Mass-Conserved Allen-Cahn Type Two-Phase Ferrofluid Flow Model. 77- - Jorge Morón-Vidal

, Francisco Bernal
, Renato Spigler
:
Iterative Schemes for Probabilistic Domain Decomposition. S280-S297 - Enric Ribera Borrell

, Jannes Quer, Lorenz Richter
, Christof Schütte:
Improving Control Based Importance Sampling Strategies for Metastable Diffusions via Adapted Metadynamics. S298-S323 - Shawn W. Walker

:
Approximating the Shape Operator with the Surface Hellan-Herrmann-Johnson Element. 1252- - L. Ridgway Scott

, Tabea Tscherpel
:
Dimensions of Exactly Divergence-Free Finite Element Spaces in 3D. 1102- - Kazufumi Ito

, Ying Liang
:
A Direct Probing Method of an Inverse Problem for the Eikonal Equation. 1235- - Perfect Y. Gidisu

, Michiel E. Hochstenbach
:
A Restricted SVD Type CUR Decomposition for Matrix Triplets. S401-S423 - Gal Shalom, Eran Treister, Irad Yavneh:

pISTA: Preconditioned Iterative Soft Thresholding Algorithm for Graphical Lasso. S445-S466 - Thijs Steel

, Raf Vandebril
:
Parallel Two-Stage Reduction to Hessenberg-Triangular Form. 56- - Oscar P. Bruno

, Ambuj Pandey:
Direct/Iterative Hybrid Solver for Scattering by Inhomogeneous Media. 1298- - Yidan Xue

, Sarah L. Waters, Lloyd N. Trefethen:
Computation of Two-Dimensional Stokes Flows via Lightning and AAA Rational Approximation. 1214- - Ziyao Xu

, Chi-Wang Shu
:
Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants. 1352- - Yunfeng Xiong, Sihong Shao:

Overcoming the Numerical Sign Problem in the Wigner Dynamics via Adaptive Particle Annihilation. 107- - Lukas Einkemmer

, Alexander Moriggl
:
A Semi-Lagrangian Discontinuous Galerkin Method for Drift-Kinetic Simulations on GPUs. 33- - Yong Liu

, Jianfang Lu, Chi-Wang Shu
:
An Entropy Stable Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws. 1132- - Xuejian Li, Wei Gong

, Xiaoming He
, Tao Lin
:
Variational Data Assimilation and its Decoupled Iterative Numerical Algorithms for Stokes-Darcy Model. S142-S175 - Siobhán Correnty

, Elias Jarlebring
, Kirk M. Soodhalter:
Preconditioned Infinite GMRES for Parameterized Linear Systems. S120-S141 - David L. Green

, Xiaozhe Hu
, Jeremy Lore, Lin Mu
, Mark L. Stowell:
An Efficient High-Order Solver for Diffusion Equations with Strong Anisotropy on Non-Anisotropy-Aligned Meshes. S199-S222 - Michele Benzi, Chiara Faccio

:
Solving Linear Systems of the Form \({\boldsymbol{(A + \gamma UU^T)\, {x} = {b}}}\) by Preconditioned Iterative Methods. S51-S70 - Harbir Antil

, Arvind K. Saibaba
:
Efficient Algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors. S176-S198 - Tianshi Xu

, Anthony P. Austin, Vasileios Kalantzis, Yousef Saad:
A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation. S324-S351 - Viktor Linders

, Philipp Birken
:
Locally Conservative and Flux Consistent Iterative Methods. S424-S444 - Andreas Stathopoulos:

Special Section: 2022 Copper Mountain Conference on Iterative Methods.
Volume 46, Number 3, 2024
- Pablo D. Brubeck

, Patrick E. Farrell
:
Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree. 1549- - Tianpei Cheng, Haijian Yang, Jizu Huang

, Chao Yang
:
Adaptive Space-Time Domain Decomposition for Multiphase Flow in Porous Media with Bound Constraints. 306- - James Levitt, Per-Gunnar Martinsson

:
Linear-Complexity Black-Box Randomized Compression of Rank-Structured Matrices. 1747- - Jongho Park

:
Additive Schwarz Methods for Semilinear Elliptic Problems with Convex Energy Functionals: Convergence Rate Independent of Nonlinearity. 1373- - Wei Kang, Liang Xu

, Hong Zhou:
Observability and Effective Region of Partial Differential Equations with Application to Data Assimilation. 249- - Nicole Spillane

:
Hermitian Preconditioning for a Class of Non-Hermitian Linear Systems. 1903- - Ivica Nakic, Marinela Pilj Vidakovic, Zoran Tomljanovic:

Finite Time Horizon Mixed Control of Vibrational Systems. 280- - Nick Alger, Tucker Hartland, Noemi Petra

, Omar Ghattas
:
Point Spread Function Approximation of High-Rank Hessians with Locally Supported Nonnegative Integral Kernels. 1658- - Uwe Naumann

:
A Matrix-Free Exact Newton Method. 1423- - Will Pazner

, Tzanio V. Kolev
, Panayot S. Vassilevski:
Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in \(\boldsymbol{H}(\operatorname{\textbf{div}})\). 179- - Riccardo Brignone

:
Exact Simulation of the Multifactor Ornstein-Uhlenbeck Driven Stochastic Volatility Model. 1441- - Andreas Dedner, Alice Hodson

:
A Framework for Implementing General Virtual Element Spaces. 229- - Christian Bayer, Chiheb Ben Hammouda

, Raúl Tempone:
Multilevel Monte Carlo with Numerical Smoothing for Robust and Efficient Computation of Probabilities and Densities. 1514- - Noel Murasko, John C. Bowman

:
Hybrid Dealiasing of Complex Convolutions. 159- - Gianluca Ceruti, Jonas Kusch

, Christian Lubich:
A Parallel Rank-Adaptive Integrator for Dynamical Low-Rank Approximation. 205- - Mengyu Wang, Yajie Yu, Hanyu Li

:
Randomized Tensor Wheel Decomposition. 1714- - Fan Zhang

, Jian Cheng
:
A Bound-Preserving and Positivity-Preserving High-Order Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Compressible Multi-Medium Flows. 254- - Tianqi Zhang, Fei Xue:

A New Preconditioned Nonlinear Conjugate Gradient Method in Real Arithmetic for Computing the Ground States of Rotational Bose-Einstein Condensate. 1764- - Golo A. Wimmer

, Ben S. Southworth
, Thomas J. Gregory, Xian-Zhu Tang:
A Fast Algebraic Multigrid Solver and Accurate Discretization for Highly Anisotropic Heat Flux I: Open Field Lines. 1821- - Benjamin Boutin

, Anaïs Crestetto, Nicolas Crouseilles, Josselin Massot:
Modified Lawson Methods for Vlasov Equations. 1574- - Pawan Goyal

, Benjamin Peherstorfer, Peter Benner
:
Rank-Minimizing and Structured Model Inference. 1879- - Enrico Facca, Gabriele Todeschi, Andrea Natale

, Michele Benzi:
Efficient Preconditioners for Solving Dynamical Optimal Transport via Interior Point Methods. 1397- - Ana Budisa

, Xiaozhe Hu
, Miroslav Kuchta
, Kent-André Mardal
, Ludmil T. Zikatanov
:
Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. 1461- - Ikrom Akramov

, Sebastian Götschel
, Michael L. Minion
, Daniel Ruprecht
, Robert Speck
:
Spectral Deferred Correction Methods for Second-Order Problems. 1690- - Alexander V. Mamonov

, Maxim A. Olshanskii
:
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems. 1850- - Chen Liu

, Beatrice Riviere
, Jie Shen
, Xiangxiong Zhang
:
A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. 1923- - Zeyu Zhou, Wen Huang

, Wei Jiang
, Zhen Zhang
:
An Operator-Splitting Optimization Approach for Phase-Field Simulation of Equilibrium Shapes of Crystals. 331- - Thomas Frachon, Peter Hansbo

, Erik Nilsson
, Sara Zahedi:
A Divergence Preserving Cut Finite Element Method for Darcy Flow. 1793- - Konstantin Althaus, Iason Papaioannou

, Elisabeth Ullmann
:
Consensus-Based Rare Event Estimation. 1487- - Daniel Jodlbauer, Ulrich Langer

, Thomas Wick
, Walter Zulehner:
Matrix-Free Monolithic Multigrid Methods for Stokes and Generalized Stokes Problems. 1599- - Gabriel R. Barrenechea, Antônio Tadeu A. Gomes

, Diego Paredes
:
A Multiscale Hybrid Method. 1628- - Andrey A. Popov

, Renato Zanetti:
An Adaptive Covariance Parameterization Technique for the Ensemble Gaussian Mixture Filter. 1949- - Tianyun Tang

, Kim-Chuan Toh
, Nachuan Xiao
, Yinyu Ye:
A Riemannian Dimension-Reduced Second-Order Method with Application in Sensor Network Localization. 2025- - Brian Irwin

, Sebastian Reich
:
EnKSGD: A Class of Preconditioned Black Box Optimization and Inversion Algorithms. 2101- - Alina Chertock

, Alexander Kurganov
, Michael Redle, Kailiang Wu
:
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics. 1998- - Matthias Kirchhart

, Rostislav-Paul Wilhelm
:
The Numerical Flow Iteration for the Vlasov-Poisson Equation. 1972- - Zhiming Chen, Yong Liu

:
Efficient and Parallel Solution of High-Order Continuous Time Galerkin for Dissipative and Wave Propagation Problems. 2073- - Longxiu Huang

, Xia Li
, Deanna Needell
:
Randomized Kaczmarz in Adversarial Distributed Setting. 354- - Martin J. Gander

, Michal Outrata
:
Spectral Analysis of Implicit \(\boldsymbol{S}\)-Stage Block Runge-Kutta Preconditioners. 2047-
Volume 46, Number 4, 2024
- Tianyou Tang, Xianmin Xu

:
Transformed Model Reduction for Partial Differential Equations with Sharp Inner Layers. 2178- - Elisa Baioni

, Antoine Lejay
, Géraldine Pichot, Giovanni Michele Porta
:
Modeling Diffusion in One Dimensional Discontinuous Media under Generalized Permeable Interface Conditions: Theory and Algorithms. 2202- - Lechang Qin, Changtao Sheng, Zhiguo Yang

:
A Highly Efficient and Accurate Divergence-Free Spectral Method for the Curl-Curl Equation in Two and Three Dimensions. 2150- - Dimitrios G. Patsatzis

, Gianluca Fabiani
, Lucia Russo
, Constantinos I. Siettos
:
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning. 297- - Manaswinee Bezbaruah

, Matthias Maier, Winnifried Wollner
:
Shape Optimization of Optical Microscale Inclusions. 377- - Sanghyun Lee

, Yeonjong Shin
:
On the Training and Generalization of Deep Operator Networks. 273- - Giovanni Fantuzzi

, Federico Fuentes
:
Global Minimization of Polynomial Integral Functionals. 2123- - Tristan Montoya

, David W. Zingg:
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra. 2270- - C. Caballero-Cárdenas

, Manuel Jesús Castro Díaz
, Christophe Chalons
, Tomás Morales de Luna
, María Luz Muñoz-Ruiz
:
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System. 2503- - Shi Jin, Xiantao Li

, Nana Liu, Yue Yu:
Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions. 403- - Nick Wulbusch

, Reinhild Roden, Matthias Blau
, Alexey Chernov
:
Bayesian Parameter Identification in Impedance Boundary Conditions for Helmholtz Problems. 422- - Moshe Eliasof

, Eldad Haber, Eran Treister
:
Graph Neural Reaction Diffusion Models. 399- - Philip Freese

, Moritz Hauck
, Daniel Peterseim
:
Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems. 2377- - Ziqing Hu, Chun Liu

, Yiwei Wang, Zhiliang Xu:
Energetic Variational Neural Network Discretizations of Gradient Flows. 2528- - Michael B. Giles

, Oliver Sheridan-Methven
:
Rounding Error Using Low Precision Approximate Random Variables. 502- - Lisa Gaedke-Merzhäuser

, Elias Teixeira Krainski
, Radim Janalík, Håvard Rue
, Olaf Schenk:
Integrated Nested Laplace Approximations for Large-Scale Spatiotemporal Bayesian Modeling. 448- - Mark Ainsworth, Charles Parker

:
Computing \(\boldsymbol{H}^{\boldsymbol{2}}\)-Conforming Finite Element Approximations Without Having to Implement \(\boldsymbol{C}^{\boldsymbol{1}}\)-Elements. 2398- - Ziyuan Liu

, Haifeng Wang, Hong Zhang
, Kaijun Bao, Xu Qian, Songhe Song:
Render unto Numerics: Orthogonal Polynomial Neural Operator for PDEs with Nonperiodic Boundary Conditions. 323- - Ed Bueler

, Patrick E. Farrell
:
A Full Approximation Scheme Multilevel Method for Nonlinear Variational Inequalities. 2421- - Tianhao Hu, Bangti Jin

, Zhi Zhou
:
Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks. 369- - Andrew Gibbs

, Stephen Langdon
:
An Efficient Frequency-Independent Numerical Method for Computing the Far-Field Pattern Induced by Polygonal Obstacles. 2324- - Jessica T. Lauzon

, Siu Wun Cheung
, Yeonjong Shin
, Youngsoo Choi
, Dylan Matthew Copeland
, Kevin Huynh:
S-OPT: A Points Selection Algorithm for Hyper-Reduction in Reduced Order Models. 474- - Arne Bouillon

, Giovanni Samaey
, Karl Meerbergen
:
On Generalized Preconditioners for Time-Parallel Parabolic Optimal Control. 2298- - Zhonghua Qiao

, Zhenli Xu
, Qian Yin
, Shenggao Zhou:
Local Structure-Preserving Relaxation Method for Equilibrium of Charged Systems on Unstructured Meshes. 2248- - Ajay Jasra

, Kengo Kamatani
, Mohamed Maama:
Multilevel Particle Filters for a Class of Partially Observed Piecewise Deterministic Markov Processes. 2475- - Liwei Lu, Hailong Guo

, Xu Yang
, Yi Zhu
:
Temporal Difference Learning for High-Dimensional PIDEs with Jumps. 349- - Qi Sun, Xuejun Xu, Haotian Yi:

Domain Decomposition Learning Methods for Solving Elliptic Problems. 2445- - Shifan Zhao, Tianshi Xu

, Hua Huang
, Edmond Chow
, Yuanzhe Xi
:
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices. 2351- - Walter Boscheri, Michael Dumbser

, Pierre-Henri Maire:
A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. 2224- - Qing Li, Steinar Evje

:
An Alternating Flux Learning Method for Multidimensional Nonlinear Conservation Laws. 421- - Nanna Berre

, Marie E. Rognes
, André Massing
:
Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models. 527- - Jonah A. Reeger:

Adaptivity in Local Kernel Based Methods for Approximating the Action of Linear Operators. 2683- - Han Zhang, Raymond H. Chan, Xue-Cheng Tai

:
A Meshless Solver for Blood Flow Simulations in Elastic Vessels Using a Physics-Informed Neural Network. 479- - Aleksandr Y. Aravkin, Robert J. Baraldi

, Dominique Orban:
A Levenberg-Marquardt Method for Nonsmooth Regularized Least Squares. 2557- - Petr Vacek

, Erin C. Carson
, Kirk M. Soodhalter:
The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods. 2634- - Christoph Reisinger

, Wolfgang Stockinger, Yufei Zhang
:
A Fast Iterative PDE-Based Algorithm for Feedback Controls of Nonsmooth Mean-Field Control Problems. 2737- - Juliane Rosemeier

, Terry Haut, Beth Wingate:
Multilevel Parareal Algorithm with Averaging for Oscillatory Problems. 2709- - Marsha J. Berger, Randall J. LeVeque:

Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation. 554- - Haibo Li

:
A Preconditioned Krylov Subspace Method for Linear Inverse Problems with General-Form Tikhonov Regularization. 2607- - Daniel Fortunato

:
A High-Order Fast Direct Solver for Surface PDEs. 2582- - Stefan Güttel

, Igor Simunec
:
A Sketch-and-Select Arnoldi Process. 2774- - Gabriel R. Barrenechea, Ernesto Castillo

, Douglas R. Q. Pacheco
:
Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity. 2660- - Zhiqiang Cai

, Junpyo Choi, Min Liu:
Least-Squares Neural Network (LSNN) Method for Linear Advection-Reaction Equation: Discontinuity Interface. 448- - Minglei Yang

, Pengjun Wang, Diego del-Castillo-Negrete, Yanzhao Cao, Guannan Zhang
:
A Pseudoreversible Normalizing Flow for Stochastic Dynamical Systems with Various Initial Distributions. 508-
Volume 46, Number 5, 2024
- El-Mehdi El Arar

, Devan Sohier, Pablo de Oliveira Castro
, Eric Petit:
Bounds on Nonlinear Errors for Variance Computation with Stochastic Rounding. 579- - Lars Simon, Holger Eble, Hagen-Henrik Kowalski, Manuel Radons

:
Interpolating Parametrized Quantum Circuits Using Blackbox Queries. 600- - Bian Li, Yue Yu, Xiu Yang

:
The Sparse-Grid-Based Adaptive Spectral Koopman Method. 2925- - Wei Jiang

, Chunmei Su
, Ganghui Zhang:
Stable Backward Differentiation Formula Time Discretization of BGN-Based Parametric Finite Element Methods for Geometric Flows. 2874- - Tareq Uz Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott P. MacLachlan

, Luke N. Olson
, Matthew West
:
Generalizing Lloyd's Algorithm for Graph Clustering. 2819- - Axel Klawonn

, Martin Lanser
, Janine Weber
:
A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. 557- - Shumo Cui, Alexander Kurganov

, Kailiang Wu
:
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws. 2899- - Xingjian Li, Deepanshu Verma, Lars Ruthotto

:
A Neural Network Approach for Stochastic Optimal Control. 535- - Yulong Dong

, Lin Lin
, Hongkang Ni, Jiasu Wang
:
Robust Iterative Method for Symmetric Quantum Signal Processing in All Parameter Regimes. 2951- - Yan Chang

, Yukun Guo
, Yue Zhao:
Inverse Source Problem of the Biharmonic Equation from Multifrequency Phaseless Data. 2799- - Marsha J. Berger, Andrew Giuliani

:
A New Provably Stable Weighted State Redistribution Algorithm. 2848- - Changqing Ye

, Shubin Fu
, Eric T. Chung
, Jizu Huang:
A Robust Two-Level Overlapping Preconditioner for Darcy Flow in High-Contrast Media. 3151- - Vicente A. Hojas

, Carlos Pérez-Arancibia
, Manuel A. Sánchez:
Reflectionless Discrete Perfectly Matched Layers for Higher-Order Finite Difference Schemes. 3094- - Xiaoyu Dong, Zhenning Cai

:
Iterative Methods of Linearized Moment Equations for Rarefied Gases. 669- - Sumit Mahahjan, Arbaz Khan

:
Finite Element Approximation for the Delayed Generalized Burgers-Huxley Equation with Weakly Singular Kernel: Part II Nonconforming and DG Approximation. 2972- - Jinyong Ying, Jingying Hu

, Zuoshunhua Shi, Jiao Li:
An Accurate and Efficient Continuity-Preserved Method Based on Randomized Neural Networks for Elliptic Interface Problems. 633- - Mihail Stoian

, Richard M. Milbradt
, Christian B. Mendl
:
On the Optimal Linear Contraction Order of Tree Tensor Networks, and Beyond. 647- - Víctor González Tabernero

, José G. López-Salas
, Manuel Jesús Castro Díaz
, José Antonio García-Rodríguez
:
Boundary Treatment for High-Order IMEX Runge-Kutta Local Discontinuous Galerkin Schemes for Multidimensional Nonlinear Parabolic PDEs. 3282- - Sifan Liu

:
Conditional Quasi-Monte Carlo with Constrained Active Subspaces. 2999- - Lambert Theisen

, Benjamin Stamm
:
A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains. 3067- - Kirana Bergstrom, Troy D. Butler, Timothy Wildey:

A Distributions-Based Approach for Data-Consistent Inversion. 3124- - Hao Liu

, Shingyu Leung
, Jianliang Qian
:
Operator-Splitting/Finite Element Methods for the Minkowski Problem. 3230- - Christopher J. Vogl

, Zachary R. Atkins
, Alyson Fox
, Agnieszka Miedlar
, Colin Ponce
:
Modifying the Asynchronous Jacobi Method for Data Corruption Resilience. 3258- - Katharina Kormann

, Eric Sonnendrücker:
A Dual Grid Geometric Electromagnetic Particle in Cell Method. 621- - Jonas Latz

, Doris Schneider, Philipp Wacker
:
Nested Sampling for Uncertainty Quantification and Rare Event Estimation. 3305- - Pietro Benedusi

, Ada J. Ellingsrud
, Halvor Herlyng
, Marie E. Rognes
:
Scalable Approximation and Solvers for Ionic Electrodiffusion in Cellular Geometries. 725- - Michael S. Gilbert

, Kamesh Madduri
, Erik G. Boman
, Siva Rajamanickam
:
Jet: Multilevel Graph Partitioning on Graphics Processing Units. 700- - Paul Schwerdtner

, Philipp Schulze
, Jules Berman, Benjamin Peherstorfer
:
Nonlinear Embeddings for Conserving Hamiltonians and Other Quantities with Neural Galerkin Schemes. 583- - Stefan Güttel

, Daniel Kressner
, Bart Vandereycken
:
Randomized Sketching of Nonlinear Eigenvalue Problems. 3022- - Jihun Han

, Yoonsang Lee
, Anne Gelb
:
Learning In-Between Imagery Dynamics via Physical Latent Spaces. 608- - Tobias Blickhan:

A Registration Method for Reduced Basis Problems Using Linear Optimal Transport. 3177- - Christian Engwer

, Mario Ohlberger
, Lukas Renelt
:
Model Order Reduction of an Ultraweak and Optimally Stable Variational Formulation for Parametrized Reactive Transport Problems. 3205- - Gerhard Starke:

Shape Optimization by Constrained First-Order System Least Mean Approximation. 3044- - Eric C. Cyr, Scott P. MacLachlan:

Special Section: 2023 Copper Mountain Conference. - Sever A. Hirstoaga

:
A First-Order Reduced Model for a Highly Oscillating Differential Equation with Application in Penning Traps. S225-S245 - Robert C. Kirby:

On the Convergence of Monolithic Multigrid for Implicit Runge-Kutta Time Stepping of Finite Element Problems. S22-S45 - Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo

:
A Reduced Conjugate Gradient Basis Method for Fractional Diffusion. S68-S87 - Peter Ohm

, Jesús Bonilla, Edward G. Phillips, John N. Shadid, Michael M. Crockatt
, Ray S. Tuminaro, Jonathan J. Hu
, Xian-Zhu Tang:
Scalable Multiphysics Block Preconditioning for Low Mach Number Compressible Resistive MHD with Application to Magnetic Confinement Fusion. S170-S201 - Bar Lerer, Ido Ben-Yair

, Eran Treister
:
Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation Using Compact Implicit Layers. S123-S144 - Stephen Thomas, Allison H. Baker

:
Efficient GMRES+AMG on GPUs: Composite Smoothers And Mixed \(\boldsymbol{V}\)-Cycles. S246-S270 - Matthias Bolten

, Misha E. Kilmer
, Scott P. MacLachlan
:
Multigrid Preconditioning for Regularized Least-Squares Problems. S271-S295 - Nils Kohl

, Stephen F. McCormick, Rasmus Tamstorf
:
Multigrid Methods Using Block Floating Point Arithmetic. S202-S224 - Arne Bouillon

, Giovanni Samaey
, Karl Meerbergen
:
Diagonalization-Based Preconditioners and Generalized Convergence Bounds for ParaOpt. S317-S345 - Shimin Guo, Liquan Mei, Wenjing Yan:

A Linearly Implicit Spectral Scheme for the Three-Dimensional Hall-MHD System. 752- - Frederick Fung

, Linda Stals, Quanling Deng:
Fault-Tolerant Parallel Multigrid Method on Unstructured Adaptive Mesh. S145-S169 - Ru Huang, Kai Chang

, Huan He
, Ruipeng Li
, Yuanzhe Xi:
Reducing Operator Complexity of Galerkin Coarse-grid Operators with Machine Learning. S296-S316 - Stephen F. McCormick, Rasmus Tamstorf

:
Rounding-Error Analysis of Multigrid \({V}\)-Cycles. S88-S95 - Ahsan Ali

, James J. Brannick, Karsten Kahl, Oliver A. Krzysik
, Jacob B. Schroder
, Ben S. Southworth
:
Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems. S96-S122 - Rachel Yovel

, Eran Treister
:
LFA-Tuned Matrix-Free Multigrid Method for the Elastic Helmholtz Equation. S1-S21 - Johannes J. Brust

, Philip E. Gill:
An \({LDL}^{\textrm{T}}\) Trust-Region Quasi-Newton Method. 3330- - Alena Kopanicáková

, Hardik Kothari
, George E. Karniadakis, Rolf Krause:
Enhancing Training of Physics-Informed Neural Networks Using Domain Decomposition-Based Preconditioning Strategies. S46-S67
Volume 46, Number 6, 2024
- Shuxun Shi, Xinyi Du, Wenbin Chen

:
A BDF-Spectral Method for a Class of Nonlocal Partial Differential Equations with Long Time Delay. 3503- - Ioannis P. A. Papadopoulos

, Timon S. Gutleb
, Richard M. Slevinsky, Sheehan Olver
:
Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli. 3448- - Nicolas Boullé

, Astrid Herremans
, Daan Huybrechs
:
Multivariate Rational Approximation of Functions with Curves of Singularities. 3401- - Rémi Abgrall, Yongle Liu:

A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations. 3375- - Marcel Mokbel, Dominic Mokbel

, Susanne Liese, Christoph A. Weber, Sebastian Aland
:
A Simulation Method for the Wetting Dynamics of Liquid Droplets on Deformable Membranes. 806- - Mohammad Al-Khaleel

, Martin J. Gander
, Pratik M. Kumbhar:
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation. 3528- - Dajana Conte

, Jesús Martín-Vaquero
, Giovanni Pagano
, Beatrice Paternoster:
Stability Theory of TASE-Runge-Kutta Methods with Inexact Jacobian. 3628- - Yajie Ji

, Lijie Ji
, Yanlai Chen, Zhenli Xu
:
MCMS-RBM: Multicomponent Multistate Reduced Basis Method Toward Rapid Generation of Phase Diagrams for the Lifshitz-Petrich Model. 785- - David A. Ham

, Vaclav Hapla, Matthew G. Knepley
, Lawrence Mitchell
, Koki Sagiyama
:
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations. 830- - Yiyun Fan, John Billingham

, Kristoffer G. van der Zee
:
A Shape-Newton Method for Free-Boundary Problems Subject to the Bernoulli Boundary Condition. 3599- - Tyler Chen

, Robert Chen, Kevin Li, Skai Nzeuton, Yilu Pan, Yixin Wang:
Faster Randomized Partial Trace Estimation. 3427- - Kieran Ricardo

, Kenneth Duru
, David Lee:
An Entropy Stable Discontinuous Galerkin Method for the Spherical Thermal Shallow Water Equations. 3353- - Alix Leroy

, Benedict J. Leimkuhler
, Jonas Latz
, Desmond J. Higham:
Adaptive Stepsize Algorithms for Langevin Dynamics. 3574- - Anthony P. Austin, Lior Horesh

, Vassilis Kalantzis:
A Rational Filtering Algorithm for Sequences of Shifted Symmetric Linear Systems with Applications to Frequency Response Analysis. 3552- - Dianming Hou

, Lili Ju
, Zhonghua Qiao
:
Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems. 3477- - Yongcun Song

, Xiaoming Yuan, Hangrui Yue:
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach. 659- - Jongho Park

:
Two-Level Overlapping Schwarz Preconditioners with Universal Coarse Spaces for \(\boldsymbol{2m}\)th-Order Elliptic Problems. 3681- - Mohammad Farazmand:

Sparse Discrete Empirical Interpolation Method: State Estimation from Few Sensors. 3658- - Fabien Caubet, Marc Dambrine

, Giulio Gargantini
, Jérôme Maynadier:
Shape Optimization Under a Constraint on the Worst-Case Scenario. 3703- - Michele Bucelli

, Francesco Regazzoni
, Luca Dede', Alfio Quarteroni:
Robust Radial Basis Function Interpolation Based on Geodesic Distance for the Numerical Coupling of Multiphysics Problems. 981- - Àdel Alsalti-Baldellou

, Carlo Janna, Xavier Álvarez-Farré, Francesc Xavier Trias:
A Multigrid Reduction Framework for Domains with Symmetries. 860- - Xing-Long Lyu, Tiexiang Li, Jia-Wei Lin, Wen-Wei Lin:

An SVD-Based Fast Algorithm for 3D Maxwell's Equations with Perfect Electric Conductor and Quasi-Periodic Boundary Conditions. 925- - Zhengjie Sun

, Leevan Ling
:
A High-Order Meshless Linearly Implicit Energy-Preserving Method for Nonlinear Wave Equations on Riemannian Manifolds. 3779- - Hussein Albazzal, Alexei Lozinski

, Roberta Tittarelli:
An a Posteriori Error Estimate for a 0D-2D Coupled Model. 903- - Abhijit Biswas, David I. Ketcheson

:
Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods. 3827- - Gang Bao, Wangtao Lu, Tao Yin, Lu Zhang:

A Highly Accurate PML-BIE Solver for the Electromagnetic Scattering Problem in a Multilayered Medium. 3849- - Victor Bayona

, Argyrios Petras
, Cécile Piret
, Steven J. Ruuth
:
A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces. 3897- - Isabel A. Martínez Ávila

, Carlos Jerez-Hanckes
, Irina Pettersson:
Cell Electropermeabilization Modeling via Multiple Traces Formulation and Time Semi-Implicit Multistep Coupling. 953- - Beiping Duan

:
Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces. 3873- - Julien Bect

, Niklas Georg
, Ulrich Römer
, Sebastian Schöps:
Rational Kernel-Based Interpolation for Complex-Valued Frequency Response Functions. 3727- - Hadrien Montanelli

, Francis Collino, Houssem Haddar:
Computing Singular and Near-Singular Integrals over Curved Boundary Elements: The Strongly Singular Case. 3756- - Silvia Bertoluzza, Erik Burman

, Cuiyu He
:
WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions. 688- - Hanyang Jiang

, Yuehaw Khoo, Haizhao Yang
:
Reinforced Inverse Scattering. 884- - Mikael Mortensen

:
A Faster Multipole Legendre-Chebyshev Transform. 3803-

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