519.6 — Вычислительная математика. Численный анализ

Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology Carles Checa, Michael DiPasquale, Pablo Mazón, Thái Thành Nguyen, Liana Sega, Prajwal Udanshive, Adam Van Tuyl, Nelly Villamizar · 2026

Programming with Chebfun. Case study: Richards equation Nicolae Suciu · 2026

A Convex Quasilinearization Method for Solving Nonlinear PDEs with Physics-Informed Neural Networks Gbenga T. Awojinrin, Abdul-Akeem Olawoyin, Rami M. Younis · 2026

A minimizing-movement framework for geometric gradient flows with admissible tangential motion Xiaoxiao Liu, Quan Zhao · 2026

An Encoder-Transformer Architecture for Recognition of the Jordan Structure of a Matrix Michał Trojanowski, Michał Wojtylak · 2026

A Diagnostic Software Suite for Auditing Learned PDE Simulators Lennon J. Shikhman · 2026

LGNO: A Local-Global Neural Operator for Hyperbolic Conservation Laws Hao Wang, Chi-Wang Shu, Qi Tang · 2026

Domain decomposition methods for the Stokes-Biot model of fluid-poroelastic structure interaction Manraj Ghumman, Manu Jayadharan, Ivan Yotov · 2026

Generalization Guarantees for Multi-Input Neural Operator Learning in Sobolev Spaces Yahong Yang, Zecheng Zhang, Wei Zhu, Wenjing Liao, Hao Liu · 2026

Convergence of an IP DG Method for the Quad-Curl Problem Xianhao Zeng · 2026

Operator Boosting Produces Pareto-Efficient PDE Surrogates Lennon J. Shikhman · 2026

symveig: Verified eigenvalue enclosures for symmetry-decomposed Hermitian matrices Sarang Vehale, Ritu Goel · 2026

Topological spectral gap, multiscale Weyl's law, and homogenization in high-contrast PDEs Eric T. Chung, Lijian Jiang, Yajun Wang · 2026

Isogeometric Analysis for Explicit Wave Propagation in Poroelastic Media Maarten M. Hodzelmans, René R. Hiemstra, Joris J. C. Remmers, Clemens V. Verhoosel · 2026

Phase-field analysis of fracture in heterogeneous wellbore systems: effects of casing eccentricity and cement-formation interface strength Tharunsarathy Sachithanantham, Wasim Niyaz Munshi, Chandrasekhar Annavarapu, Birendra Jha · 2026

Nitsche-based FEM for the Laplace eigenvalue problem: spectral approximation and a posteriori error analysis Arbaz Khan, David Mora, Jesus Vellojin · 2026

Geometric structure-preserving parametric finite element approximations for the constrained Helfrich flow Xiaoxiao Liu, Quan Zhao · 2026

A variable-offset joint formulation for beams with arbitrary cross-sections using a null space method Myung-Jin Choi, Roger A. Sauer, Simon Klarmann, Sven Klinkel · 2026

PF-DIC: Phase field digital image correlation for integrated full-field displacement, strain, and damage measurements Dingxiang Zhu, Ye Lu · 2026

Optimal Multiscale Learning of Linear Operators Jiaheng Chen, Daniel Sanz-Alonso · 2026

A Scalable Deflated Conjugate Gradient Solver for the Time-Dependent Pseudo-Stress Stokes Problem Alessandra Cancrini, Gabriele Ciaramella, Paola F. Antonietti · 2026

High-order multi-structures-preserving exponential integrators for the derivative nonlinear Schrödinger equation Liping Wu, Li Yang, Chaolong Jiang · 2026

Efficient and Fast Tensor-Product Multinode Shepard Collocation for Elliptic PDEs on Cartesian Grids Anouar El Harrak, Hatim Tayeq, Benaissa Zerroudi · 2026

Minmax neural-network architectures for data-to-solution value maps in nonlinear elasticity with generalized loads and variable Dirichlet data Michael Ortiz · 2026

Parameter-robust well-posedness and discretisation for coupled Darcy--Forchheimer and advection-diffusion-reaction equations Rishi Das, Harsha Hutridurga, Amiya K. Pani, Ricardo Ruiz-Baier · 2026

Discontinuous Galerkin approximations of the Jordan-Moore-Gibson-Thompson equation in the vanishing relaxation limit Vanja Nikolić · 2026

Numerical Methods for Computational Fluid Dynamics Carmen Chicone · 2017

The three dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods Alan E. Lindsay, Andrew J. Bernoff, Tristan Goodwill, Jeremy G. Hoskins · 2026

A variable time-step, second-order, and MBP-preserving linear stabilized scheme for the time-fractional Allen-Cahn equation Bingyin Zhang, Ao Zhang, Hongfei Fu · 2026

Massively parallel flow routing and drainage area determination Wolfgang Bangerth · 2026

Local Consistency and Higher-Order Structure of Spherical Interpolation Shingyu Leung · 2026

Curvature-Induced Force Fields in Hyperelasticity Victor Dods · 2026

Accelerated Implicit GDA Schemes: Theoretical Guarantees and Application to Proximal Augmented Lagrangian Methods Jiaqi Liu, Bin Shi · 2026

Splitting strategies for the fully-coupled nonlinear thermo-hydro-mechanical problem Stefano Bonetti, Michele Botti, Paola F. Antonietti · 2026

Improved Representation of Matrix Lie Group Operations through Tensor Notation Clark Taylor · 2026

Higher-order Diffusion Sampling via Chebyshev Interpolation and Gauss--Seidel Iterations Bingyuan Wei, Meng Huang · 2026

A stochastic gradient algorithm for non-separable optimization with convergence guarantee Yingzhou Li, Ruofan Wu · 2026

Momentum Space Algorithm for Electronic Structure of Double-Incommensurate Trilayer Graphene Ken Beard, Daniel Massatt · 2026

Reduced basis algorithm for solving nonlinear differential equations on quantum computers Monica Lăcătuş, Matthias Möller, Sauro Succi · 2026

A Stabilized Multilevel B-Spline-Based Fast Integral Method for the Solution of the Electric Field Integral Equation Danijel Jukić, Bernd Hofmann, Thomas F. Eibert, Simon B. Adrian · 2026

A general-purpose global regularization method for 3D volume integral operators Thomas G. Anderson, Marc Bonnet, Luiz M. Faria, Carlos Pérez-Arancibia · 2026

On the representation for stochastic graph delay propagation Shibo Zeng, Weiguo Gao, Yingzhou Li · 2026

First-Order Trajectory Matching: Fast Ensemble Predictions of Chaotic, Turbulent, Stochastic Systems Shreya Jha, Timo Schorlepp, Nicholas Geissler, Jules Berman, Benjamin Peherstorfer · 2026

Dual Gauss--Legendre polynomials Paweł Woźny · 2026

Linear Combination of Hamiltonian Simulation with Commutator Scaling Junaid Aftab, Dong An, Konstantina Trivisa · 2026

Sparsity-Driven Source Localization in Tomographic Sensing Applications Marco Mattuschka, Noah An der Lan, Arne Ficks, Max von Danwitz, Alexander Popp · 2026

Polytopal Discontinuous Galerkin Discretizations of Coupled Non-Newtonian Stokes-Darcy Systems Paola F. Antonietti, Michele Botti, Nicola Parolini, Valentina Pederzoli, Marco Verani · 2026

Analysis of Power Iteration Algorithm with Partially Observed Matrix-vector Products Soumyadip Ghosh, Lior Horesh, Vassilis Kalantzis, Yingdong Lu, Tomasz Nowicki, Shashanka Ubaru · 2026

Fully decoupled, linear and structure-preserving block-centered finite difference methods for the Keller-Segel chemotaxis system on staggered non-uniform grids Jie Xu, Hongfei Fu · 2026

Spectral decomposition of $(\star,ε_1,ε_2)$-structured matrix polynomials with arbitrary degree and its applications Kang Zhao, Shifang Yuan · 2026

Adjoint-based Perfusion Estimation from Dynamic Contrast-Enhanced Ultrasound: Advection-Diffusion and Two-Compartment Models Sophie Externbrink, Ahmed El Kaffas, Dimitre Hristov, Sebastian Götschel · 2026

Constraint-driven Optimization and Parametrization of Industrial NURBS Geometries via Neural Deformation Field Federico Tamburlin, Giovanni Canali, Giuseppe Alessio D'Inverno, Nicola Demo, Andrea Mola, Gianluigi Rozza · 2026

European Society of Computational Methods in Sciences and Engineering (ESCMSE): Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2015 (ICNAAM-2015) · 2016

Multiscale Fourier Neural Operator for Inverse Wave Scattering in Highly Oscillatory Media Zilin You, Zhenli Xu, Wei Cai · 2026

Stable Triangle Projections for Variable-Degree Tetrahedral Spaces and Uniform IPDG Preconditioning Situan Li, Weiying Zheng · 2026

A Mixed Extended Virtual Element Method for Elliptic Interface Problems on Polygonal Meshes Xianyan Zheng, Jinru Chen, Feng Wang · 2026

Novel physical property preserved methods for stochastic Schrödinger--KdV equation Ziheng Chen, Jialin Hong, Liying Sun · 2026

Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions R. Altmann, R. Morandin · 2026

Pressure-robust and quasioptimal Discontinuous Galerkin discretisations of the $p$-Stokes problem P. A. Gazca-Orozco, M. Růžička · 2026

A Differentiable Simulation of the Eye for Patient-Specific Strabismus Surgery Planning Even Harsigny, Pablo Alvarez, Michel Duprez, Stéphane Cotin · 2026

Prolate spheroidal wave functions enable fast and exponent-aware long-range machine learning interatomic potentials Jiuyang Liang, Libin Lu, Yajie Ji, Shidong Jiang · 2026

Smooth Hard-Thresholding for Singular Values with Stein's Unbiased Risk Estimate Guanzhong Yang · 2026

ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models Ziyue Cai, Zuoqiang Shi · 2026

Simultaneous recovery of multiple parameters in nonlocal diffusion equations from internal measurements Kai Yu, Zhiyuan Li, Yikan Liu · 2026

Compositional Approximation Can Strictly Outperform Superpositional Approximation Dennis Elbrächter, Philipp Petersen · 2026

Numerical Analysis on Backward Stochastic Differential Equations by Finite Transposition Method Penghui Wang, Yanqing Wang, Xu Zhang · 2026

A space-time sparse-grid method for the wave equation Matteo Ferrari, Andrea Moiola, Chiara Perinati, Ilaria Perugia · 2026

Low-Rank Acceleration of the Operator Fourier Transform Jack Kelley · 2026

Finite-n Estimate of Dedekind Numbers by Layer-Ratio Monte Carlo Tian-Shun Chen, Hao Feng, Haozhe Wang, Kilar Zhang · 2026

Nonlocal Mean Field Schrödinger Bridge with Learned Interactions Daisuke Inoue, Mathieu Laurière, Dante Kalise · 2026

Unbiased estimation of squared concentration in the Fisher-von Mises-Langevin distribution and the impossibility of unbiased concentration Zain Jabbar, Yuqin Jiang, Andrey A. Popov · 2026

An Efficient Solver for the Richards Equation for Variably Saturated Flows in Porous Media Xuelong Gu, Qi Wang · 2026

An adaptive Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) method for solving the biharmonic equation over planar multi-patch geometries Mario Kapl, Aljaž Kosmač, Vito Vitrih · 2026

A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces Jingkai Zhang, Tiexiang Li, Shuo Zhang · 2026

A Mixed Virtual Element Method for the p-Laplace equation Kirubell B. Haile, Giuseppe Vacca · 2026

Applied Numerical Analysis & Computational Mathematics · 2024

Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics Gerk Rozema, Arthur E.P. Veldman, Natasha M. Maurits · 2023

Let There Be Light: Reflection, Refraction and Scattering for Neural Operators Keke Wu, Yixuan Zhang, Jingrun Chen · 2026

Hessian-recovery-based C0 finite element methods for non-divergence form elliptic equations Minqiang Xu, Boying Wu, Lei Zhang · 2026

Boundary-compatible interacting approximations of quasilinear PDEs on bounded domains Thierry Paul, Emmanuel Trélat · 2026

Effective Dimensionality as an Operator Invariant for Physics-Preserving Constraint Adaptation in Physics-Informed Neural Networks Cornelius Otchere, Michael Shields · 2026

Error Analysis of Tr-PINNs Algorithm for 2D Incompressible Navier-Stokes Equations with Non-Homogeneous Boundary Conditions Dongjie Liu, Xuebo Li, Rong Yang · 2026

DAS-PINNs for high-dimensional partial differential equations: extending deep adaptive sampling to spacetime domains Anshima Singh, David J. Silvester · 2026

A q-Tsallis Safe Approximation for Chance-Constrained Programs Sergio Assunção Monteiro, Fabricio Alves Barbosa da Silva · 2026

Optimizing Irreversible Perturbations of the Unadjusted Langevin Algorithm Qianyu Julie Zhu, Youssef Marzouk, Konstantinos Spiliopoulos, Benjamin Zhang · 2026

Mamba-Assisted Non-Markovian Closure for Reduced-Order Modeling Zhi-Feng Wei, Saad Qadeer, Panos Stinis · 2026

A Two-Channel F-Transform Representation for Early Trajectory Characterization in Iterated Correlation Dynamics Ishrak Alhajj Hassan · 2026

Infinite sequences with optimal diaphony, periodic $L_2$-discrepancy, and beyond Peter Kritzer, Nicolas Nagel, Friedrich Pillichshammer · 2026

Finite Difference Methods · 2024

Sampling and reconstruction of convex functions Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald Devore, Guergana Petrova, Jonathan W. Siegel · 2026

An Energy-Stable Implicit Convex-Splitting BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations Xuelong Gu, Qi Wang · 2026

Preface · 2007

Summary of sinc numerical methods Frank Stenger · 2000

Efficient Approximation for Encoder--Decoder Neural Operators via Variation Spaces Jia-Qi Yang, Lei Shi · 2026

Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow Mohammed Al Kobaisi, Dmitry Ammosov, Yalchin Efendiev, Wing Tat Leung · 2026

Transpose-free linear algebra Diana Halikias, Michiel E. Hochstenbach, Alex Townsend · 2026

Ferrofluids: Modeling and Approximation Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov · 2026

Graph Regularized Non-negative Reduced Biquaternion Matrix Factorization for Color Image Recognition Hailang Wu, Yonghe Liu, Bingxuan Yu, Chaoqian Li · 2026

Three-term recurrence iterations for energy-based models R. Altmann, J. Ramme, P. Schulze · 2026

Embedded Trefftz DG method for reaction-diffusion problems on anisotropic meshes Sergio Gómez, Chiara Perinati, Paul Stocker, Igor Voulis · 2026

Approximation by short exponential sums with geometric error decay based on Gauss quadrature Gerlind Plonka, Yannick Riebe, Annie Cuyt · 2026

Tensor gradient flow with quasi-entropy for smectic liquid crystals and discretizations keeping coupled physical constraints Jie Xu, Xiaomei Yao · 2026

$p$-Robust Trace Liftings for Discrete Harmonic Extensions and Boundary-Preserving $hp$ Interpolation on Tetrahedral Meshes Situan Li, Weiying Zheng · 2026

Trace-Preserving hp Interpolation and Polynomial Liftings on Conforming Hexahedral Meshes Situan Li, Weiying Zheng · 2026

Symmetric-Tensor Distributional Mixed Method for Fourth-Order Elliptic Singular Perturbation Problem Xuehai Huang, Xinyue Zhao · 2026

Spectral Audit of In-Context Operator Networks Zhiwei Gao, Liu Yang, George Em Karniadakis · 2026

Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs Lennon J. Shikhman, Shane Gilbertie · 2026

A piecewise constant levelset approach for semi-blind deconvolution: Application to barcode decoding Adriano De Cezaro, Eduardo Hafemann, Antonio Leitão · 2026

A high-order regularization of the non-linear shallow water equations with weakly singular shock waves and its approximation by finite volume methods Rezwana Razzaque Angana, Dimitrios Mitsotakis · 2026

Entropy-stable and energy-conservative fully-discrete finite element method for non-isothermal phase-field models Aaron Brunk, Dennis Höhn · 2026

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models L. Kordalis, S. Trevezas · 2026

Ensemble Score Filtering for Real-Data Energy Consumption Forecast Correction Ruoyu Hu, Dahai Yu, Feng Bao, Guang Wang, Guannan Zhang · 2026

Cohomology of Finite Element Stokes Complexes on Alfeld Splits Pablo D. Brubeck, Yizhou Liang, Charles Parker · 2026

Spectral density estimation for normal matrices Cameron Musco, Christopher Musco, Rikhav Shah, John Urschel, Nicholas West · 2026

Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method Théophile Chaumont-Frelet, Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer · 2026

A Structure-Preserving PML-Domain-Embedding Method for Acoustic Wave Scattering by Moving Objects Xuelong Gu, Qi Wang · 2026

Inversion of the Multiplicative Matrix Compound Operator Debojyoti Dey, Ron Ofir, Christian Grussler · 2026

Manifold-based Algorithms for the Hadamard Decomposition Nicolas Gillis, Subhayan Saha, Stefano Sicilia, Arnaud Vandaele · 2026

Shortest Path Problem with Subnormal Gaussian Fuzzy Costs Hande Günay Akdemir, Murat Moran · 2026

Enriched higher-order multiscale approaches with applications to wave propagation Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier, Siyang Wang · 2026

IGA-ODIL: Optimizing DIscretre robust Loss with Isogeometric Analysis to solve forward and inverse problems faster using machine learning tools Maciej Paszyński, Tomasz Służalec · 2026

Debiasing Random Oblique Projections for Subsampled OLS and Fast CUR in High Dimensions Chengmei Niu, Sachin Garg, Michał Dereziński, Zhenyu Liao · 2026

Physics-constrained identification of graph-based thermal networks for spacecraft digital twins Luca Sosta, Carlo Ciancarelli, Leonardo Marini, Stefano Pagani, Francesco Regazzoni, Nicola Parolini · 2026

Wigner-Eckart Factorization of the Spectral Boltzmann Collision Operator René R. Hiemstra, Torsten Keßler, Michael R. A. Abdelmalik · 2026

Efficient and Accurate Model Order Reduction for Integral Electromagnetic Formulations in Fusion Device Transient Analysis Toward AI-Enabled Modeling Salvatore Ventre · 2026

History-aware adaptive reduced-order models via incremental singular value decomposition Amirpasha Hedayat, Ali Mohaghegh, Laura Balzano, Cheng Huang, Karthik Duraisamy · 2026

Acknowledgment · 2013

Fuzzy PyTorch: Rapid Numerical Variability Evaluation for Deep Learning Models Inés Gonzalez-Pepe, Hiba Akhaddar, Tristan Glatard, Yohan Chatelain · 2026

A Guided Tour of Modern Domain Decomposition: From Schwarz Iterations to Robust Preconditioners and HPC Implementations Victorita Dolean, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier · 2026

Randomized conjugate gradient least squares Yun Zeng, Jian-Feng Cai, Deren Han, Jiaxin Xie · 2026

Random Neural Network Expressivity for Non-Linear Partial Differential Equations Muhammed Ali Mehmood, Lukas Gonon · 2026

Leveraging Gauge Freedom for Learning Non-Gradient Population Dynamics of Stochastic Systems Jules Berman, Tobias Blickhan, Benjamin Peherstorfer · 2026

A Dynamic Subspace Approach for Low-rank Approximation of Large-scale Nonlinear Systems Jack DeChant, Rudy Geelen, Shane A. McQuarrie, Johann Guilleminot · 2026

Fast Quadratic Manifold Learning For Nonlinear Dimensionality Reduction in Large-scale Systems using Riemannian Optimization Gavin Paxton, Seunghee Cheon, Rudy Geelen, Shane A. McQuarrie · 2026

Polarization-Induced Beam Bending: Mathematical Model, Discretization, and Algorithm Harbir Antil, Rainald Löhner, Sarswati Shah · 2026

Accuracy Analysis of the Proxy Point Method with Applications to Some Toeplitz Matrices Mikhail Lepilov, Jianlin Xia · 2026

Improving the Accuracy of the Exponentially Fitted Scheme on Piecewise Uniform Meshes Relja Vulanović · 2026

Spectral analysis and sine transform based preconditioning for a structure preserving stabilized scheme approximating the space-fractional Allen Cahn equation with logarithmic potential Danyal Ahmad, Stefano Serra-Capizzano, Muhammad Sohaib, Cristina Tablino-Possio · 2026

On the convergence of iterated penalty methods for structure-preserving discretizations of saddle point problems Patrick E. Farrell, Michael Neilan, Charles Parker, L. Ridgway Scott · 2026

Shortest Path Problem with Subnormal Gaussian Fuzzy Costs Murat Moran, Hande Günay Akdemir · 2026

A collocation scheme that is equivalent to discontinuous Galerkin discretizations Jason Hicken · 2026

Hyperboloidal evolution for scalar scattering in Minkowski space Ekrem S Demirboğa, Anıl Zenginoğlu · 2026

Fast Quadratic Manifold Learning For Nonlinear Dimensionality Reduction in Large-scale Systems using Riemannian Optimization Gavin Paxton, Seunghee Cheon, Rudy Geelen, Shane A. McQuarrie · 2026

A Fully Discrete Energy-Based Discontinuous Galerkin Method for Variable-Order Time-Fractional Wave Equations Lu Zhang · 2026

Quantum Domain Decomposition for Preconditioning the Finite Element Method Elise Fressart, Michel Nowak, Nicole Spillane · 2026

Achieving Material Robustness via Symmetric Stress Finite Element Discretizations Pablo Brubeck, Charles Parker, Umberto Zerbinati · 2026

Error analysis of a finite element scheme for parametric mean curvature flow based on the DeTurck trick Klaus Deckelnick, Vanessa Styles · 2026

Decoupling Runge-Kutta schemes for elliptic-parabolic problems Robert Altmann, Abdullah Mujahid, Benjamin Unger · 2026

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approcimations Shuang Chen, Juncai He, Xue-Cheng Tai · 2026

Analytical and numerical methods for the stability analysis of linear fractional delay differential equations Eva Kaslik, Seenith Sivasundaram · 2012

An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue “Advanced Numerical Methods: Recent Developments, Analysis and Applications” Paola F. Antonietti, Jérôme Droniou, Robert Eymard · 2018

Preface of the Session “Computational Statistical Methods” Frederico Caeiro · 2022

Convergence of adaptive finite element methods in computational mechanics Carsten Carstensen · 2009

Adaptive Multi-Fidelity Structural Optimization under Fluid-Structure Interaction Aditya Narkhede, Erick Rivas, Kevin Wang · 2026

Fast Reconstruction of Exact Maxwell Dynamics from Sparse Data Dan DeGenaro, Xin Li, Obed Amo, Michael Pokojovy, Sarah Adel Bargal, Markus Lange-Hegermann, Bogdan Raiţă · 2026

Multilevel Isogeometric Projection Stabilization via Quasi-Interpolation for Advection-Dominated Problems Zakaria El Hasnaoui, Ahmed Ratnani · 2026

Persistent-Homology-Guided Topology Scanning of Qualitative Indicators for Acoustic Inverse Scattering Xiaomei Yang, Jiaying Jia, Zhiliang Deng · 2026

Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations Cole Gruninger, Boyce E. Griffith · 2026

Component-wise accurate computation of the square root of an M-matrix Dario A. Bini, Bruno Iannazzo, Beatrice Meini, Jie Meng · 2026

Runge--Kutta numerical methods for ruin probabilities in classical risk model George Kanakoudis, Lazaros Kanellopoulos · 2026

Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains Marc Josien, Anas El Hachimi, Isabelle Ramière · 2026

Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation Jyotiranjan nayak, Shafeequdheen P, Vijayakrishna Rowthu · 2026

A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion Gregory Etangsale, Vincent Fontaine, Anis Younes · 2026

Numerical methods in control Volker Mehrmann, Hongguo Xu · 2000

Analysis and numerical methods for fractional differential equations with delay M.L. Morgado, N.J. Ford, P.M. Lima · 2013

Computational and Numerical Methods for Combinatorial Geometric Series and its Applications Chinnaraji Annamalai · 2022

B-series and Runge–Kutta methods John C. Butcher · 2021

Hyperinterpolation beyond exact cubature: a spectral multiplier approach Hao-Ning Wu · 2026

Two-scale neural networks for optimal control of linear convection-dominated equations Sijing Liu, Marcus Sarkis, Yi Zhang, Zhongqiang Zhang · 2026

Numerical methods for optimal decumulation of a defined contribution pension plan Peter A. Forsyth, George Labahn · 2026

Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition Ren-Cang Li, Li Wang, Mei Yang · 2026

From Simple to Complex: Curriculum-Guided Physics-Informed Neural Networks via Gaussian Mixture Models Jianan Yang, Yiran Wang, Shuai Li, Fujun Cao, Xuefei Yan, Junmin Liu · 2026

Fast algorithms for interpolation with clamped $L$-splines of order four O. Kounchev, H. Render, G. Simeonov, Ts. Tsachev · 2026

Measurement Selection Strategies for Position Estimation in Indoor Environments Neetu R. R, Shrihari Vasudevan, Ranjani H. G · 2026

Evaluation of External Magnetic Flux Density in Piezo-Flexomagnetic Nanobeams Using a Hybrid 1D-2D Finite Element Framework Lala Samprit Ray, Bishweshwar Babu · 2026

Preface · 2013

Numerical Integration Dimitrios Mitsotakis · 2023

Trees and forests John C. Butcher · 2021

Error Analysis · 2017

A Penalty-Free Asymmetric Nitsche's Method for Edge Elements Tianwei Yu · 2026

Arbitrary-order structure-preserving discretizations for geometric curvature flows Ganghui Zhang, Boris D. Andrews, Patrick E. Farrell · 2026

Entropy-stable discretizations for the compressible Euler equations using simple adaptive averages Carlo De Michele, Ayaboe K. Edoh · 2026

A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation Xinyu Liu, Xiangxiong Zhang · 2026

Dedication · 2007

Dedication · 2013

Spectral conjugate gradient projection methods for large-scale monotone equations without Lipschitz continuity Kabenge Hamiss, Mohammed Alshahrani, Mujahid N. Syed · 2026

Travel-time tomography from mean field game dynamics Longqiang Xu, Weishi Yin, Hongyu Liu · 2026

Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics Chetan Singh, Harish Kumar · 2026

A Tearing and Interconnecting Formulation for Magneto-Quasi-Statics Clemens Pechstein · 2026

B-Series and Geometric Integration John C. Butcher · 2021

Computational Methods for Differential Equations: Numerical Solutions and Stability Analysis Louise Hugh Zoe · 2025

Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1 Aashutosh Sharma, Andreas Bartel, Manuel Schaller · 2026

Classification of Double Saddle-Point Systems Susanne Bradley, Chen Greif · 2026

Wavelet-Based Observables for Koopman Analysis: An Extended Dynamic Mode Decomposition Framework Cankat Tilki, Serkan Gugercin · 2026

Adaptive Metrics for Norm-Minimization-Based Outer Approximation in Convex Vector Optimization Mohammed Alshahrani · 2026

Introduction to Other Numerical Methods · 2024

Stochastic Convergence Analysis for Large-Scale Linear Discrete Ill-posed Problems Duan-Peng Ling, Wenlong Zhang · 2026

Computational aspects of the Volterra Signature Paul P. Hager, Fabian N. Harang, Luca Pelizzari, Samy Tindel · 2026

An explicit, energy-conserving particle-in-cell scheme for relativistic plasmas Lee Ricketson, Jingwei Hu · 2026

Two Adaptive Methods · 2024

Breakeven complexity: A new perspective on neural partial differential equation solvers Yijing Zhang, Nicholas Roberts, Tanya Marwah, Mikhail Khodak · 2026

Amortized Energy-Based Bayesian Inference Hojjat Kaveh, Ricardo Baptista, Andrew M. Stuart · 2026

A Model of a Buoyancy-Driven Heat Exchanger, with Implications for Optimal Design Sylvie Bronsard, Charles S. Peskin · 2026

Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media Jared Weed, Bowei Wu, Jingfang Huang, Min Hyung Cho · 2026

Robust Numerical Methods for Singularly Perturbed Differential Equations · 2008

Differential Equations · 2017

Differential equations, numerical methods and algebraic analysis John C. Butcher · 2021

Algebraic Analysis and Integration Methods John C. Butcher · 2021

Simultaneous Methods · 2007

Matrix Methods · 2007

A Line--Search--Based Stochastic Gradient Method for 3D Computed Tomography Tatiana A. Bubba, Elena Morotti, Federica Porta, Valeria Ruggiero, Ilaria Trombini · 2026

Cavity shape reconstruction with a homogeneous Robin condition via a constrained coupled complex boundary method with ADMM Mustapha Essahraoui, El Mehdi Cherrat, Lekbir Afraites, Julius Fergy Tiongson Rabago · 2026

Novel implementation of the extended sampling method for inverse biharmonic scattering Isaac Harris, General Ozochiawaeze · 2026

A Least-Squares Weak Galerkin Method for Second-Order Elliptic Equations in Non-Divergence Form Chunmei Wang, Shangyou Zhang · 2026

Hierarchical Transformer Preconditioning for Interactive Physics Simulation Carl Osborne, Minghao Guo, Crystal Owens, Wojciech Matusik · 2026

Revisiting CUR Perturbation Analysis: A Local Tangent-Space Expansion Longxiu Huang · 2026

Numerical integration methods for the double-bracket flow Fernando Casas · 2004

Numerical analysis in Lie groups A. Iserles · 2001

cmna: Computational Methods for Numerical Analysis James Howard · 2016

Numerical Methods for Roots of Polynomials, Part II · 2013

B-Series and Multivalue Methods John C. Butcher · 2021

A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Convection--Diffusion Chunmei Wang, Shangyou Zhang · 2026

T-E formulation-based modeling of thin HTS shell magnetization Leonid Prigozhin, Vladimir Sokolovsky · 2026

Nyström Approximation on Manifolds Hantao Nie, Bin Gao, Andi Han, Pratik Jawanpuria, Bamdev Mishra, Zaiwen Wen · 2026

Adaptive homotopy continuation for robust dispersion curve computation in viscoelastic waveguides: guaranteed branch identity continuity Dong Xiao, Zahra Sharif Khodaei, M. H. Aliabadi · 2026

Nonsmooth Set-Gradient Ascent to the Pareto Front via Layered Hypervolume and Magnitude Indicators Michael T. M. Emmerich · 2026

A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation Elle Buser, Julianne Chung, Hugo Díaz, Arvind K. Saibaba · 2026

Sticky CIR process with potential: invariant measure and exact sampling Tony Shardlow · 2026

Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise Paolo Cifani, Franco Flandoli, Andrea Zanoni · 2026

Finite Element Methods · 2024

5. Numerical Experiments · 2017

Finite Element Methods · 2024

A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation Elle Buser, Julianne Chung, Hugo Díaz, Arvind K. Saibaba · 2026

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