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Advances in Computational Mathematics, Volume 50
Volume 50, Number 1, February 2024
- Wei Qu, Yanbo Wang, Xiaoyun Sun:
Matching pursuit with unbounded parameter domains. 1 - Xiu Ye, Shangyou Zhang
:
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations. 2 - Bo Zheng, Yueqiang Shang:
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions. 3 - Jan-Frederik Pietschmann, Ailyn Stötzner, Max Winkler
Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme. 4 - Patrick Ciarlet Jr.
Variational methods for solving numerically magnetostatic systems. 5 - Thomas Bendokat
A Grassmann manifold handbook: basic geometry and computational aspects. 6 - Mohammed Hachama
A fractional osmosis model for image fusion. 7 - Shixi Wang, Hai Bi, Yidu Yang:
An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities. 8 - Ljiljana Arambasic
Dual frames compensating for erasures - a non-canonical case. 9 - Sean Reiter
On the balanced truncation error bound and sign parameters from arrowhead realizations. 10 - Wouter Tonnon, Ralf Hiptmair:
Semi-Lagrangian finite element exterior calculus for incompressible flows. 11 - Robin Herkert
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems. 12 - Hongpeng Li, Xu Li, Hongxing Rui
Analysis of a $\varvec{P}_1\oplus \varvec{RT}_0$ finite element method for linear elasticity with Dirichlet and mixed boundary conditions. 13 - Clemens Karner, Vladimir A. Kazeev, Philipp Christian Petersen
Limitations of neural network training due to numerical instability of backpropagation. 14
Volume 50, Number 2, April 2024
- Sergio Gómez
A space-time DG method for the Schrödinger equation with variable potential. 15 - Elena Zampieri
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems. 16 - Xuehai Huang, Chao Zhang
New low-order mixed finite element methods for linear elasticity. 17 - Peter Benner
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. 18 - Marie Billaud Friess, Arthur Macherey, Anthony Nouy, Clémentine Prieur:
A probabilistic reduced basis method for parameter-dependent problems. 19 - Thomas Bendokat
Correction: A Grassmann manifold handbook: basic geometry and computational aspects. 20 - Xiao Ye, Xiangcheng Zheng, Jun Liu
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation. 21 - Yajie Yu, Hanyu Li
A block-randomized stochastic method with importance sampling for CP tensor decomposition. 22 - Salman Ahmadi-Asl
Robust low tubal rank tensor recovery using discrete empirical interpolation method with optimized slice/feature selection. 23 - Ulrich Langer, Olaf Steinbach, Huidong Yang
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization. 24 - Alfredo Bermúdez, Dolores Gómez, David González:
Numerical simulation of resistance furnaces by using distributed and lumped models. 25 - Ion Victor Gosea
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems. 26 - Vincent Knibbeler
Computing equivariant matrices on homogeneous spaces for geometric deep learning and automorphic Lie algebras. 27
Volume 50, Number 3, June 2024
- Alessandro Borghi
ℋ2 optimal rational approximation on general domains. 28 - J. Thomas Beale, Michael Storm, Svetlana Tlupova
The adjoint double layer potential on smooth surfaces in $\mathbb {R}^3$ and the Neumann problem. 29 - Weijun Zhan, Yuyuan Li
The improvement of the truncated Euler-Maruyama method for non-Lipschitz stochastic differential equations. 30 - Vinesha Peiris
Artificial neural networks with uniform norm-based loss functions. 31 - Anthony Nouy, Alexandre Pasco
Dictionary-based model reduction for state estimation. 32 - Simone Brivio, Stefania Fresca, Nicola Rares Franco, Andrea Manzoni
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition. 33 - Xuelong Gu, Yushun Wang, Wenjun Cai:
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul'yev methods. 34 - Leszek F. Demkowicz
Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides. 35 - Tobias Ehring
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems. 36 - Julio Enrique Castrillón-Candás
Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets. 37 - David Berghaus
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry. 38 - Louis Lamérand
Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma. 39 - Hongchao Kang, Qi Xu, Guidong Liu:
Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators. 40 - Hong Zhang
On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. 41 - Pawan Goyal
Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction. 42 - Huaijun Yang, Meng Li:
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations. 43 - Tahar Zamène Boulmezaoud
Stray field computation by inverted finite elements: a new method in micromagnetic simulations. 44 - Marta Benítez, Alfredo Bermúdez, Pedro Fontán, Iván Martínez, Pilar Salgado:
A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes. 45 - Xinyue Gao, Yi Qin, Jian Li:
Optimally convergent mixed finite element methods for the time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise. 46 - Shunfeng Yang, Shuhuang Xiang
Local behaviors of Fourier expansions for functions of limited regularities. 47 - Marco Bernreuther, Stefan Volkwein:
An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations. 48 - Minghua Chen, Weihua Deng, Chao Min, Jiankang Shi, Martin Stynes
Error analysis of a collocation method on graded meshes for a fractional Laplacian problem. 49 - Fang Yang, Jiecheng Chen, Tao Qian
A sparse approximation for fractional Fourier transform. 50 - Fanyi Yang, Xiaoping Xie
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains. 51 - Joubine Aghili
An optimal control framework for adaptive neural ODEs. 52 - Daniel Potts
Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation. 53 - Christoph Strössner
Approximation in the extended functional tensor train format. 54 - Meiting Wang, Guang-an Zou
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system. 55 - Jennifer Przybilla
Semi-active damping optimization of vibrational systems using the reduced basis method. 56 - Jian Li, Jiawei Gao, Yi Qin:
An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system. 57 - Daxin Nie, Jing Sun, Weihua Deng
Numerical methods for forward fractional Feynman-Kac equation. 58
Volume 50, Number 4, August 2024
- Bing Tan
On relaxed inertial projection and contraction algorithms for solving monotone inclusion problems. 59 - Martin Hanke
Stochastic modeling of stationary scalar Gaussian processes in continuous time from autocorrelation data. 60 - J. Thomas Beale
Extrapolated regularization of nearly singular integrals on surfaces. 61 - Hang Xu, Song Li, Junhong Lin:
Convergence of projected subgradient method with sparse or low-rank constraints. 62 - Ziqing Xie, Shangyou Zhang
On an accurate numerical integration for the triangular and tetrahedral spectral finite elements. 63 - Bingquan Ji, Xuanxuan Zhou:
An adaptive time-stepping Fourier pseudo-spectral method for the Zakharov-Rubenchik equation. 64 - Terrence Alsup, Tucker Hartland, Benjamin Peherstorfer, Noemi Petra:
Further analysis of multilevel Stein variational gradient descent with an application to the Bayesian inference of glacier ice models. 65 - Thomas Bonis, Frédéric Chazal, Bertrand Michel, Wojciech Reise
Topological phase estimation method for reparameterized periodic functions. 66 - Lei Lin, Junliang Lv
An adaptive finite element DtN method for the acoustic-elastic interaction problem. 67 - Guidong Liu, Wenjie Liu, Beiping Duan
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus. 68 - Ioannis P. A. Papadopoulos
A sparse spectral method for fractional differential equations in one-spatial dimension. 69 - Guanhang Lei, Lei Shi
Pairwise ranking with Gaussian kernel. 70 - H. Zhang
Finding roots of complex analytic functions via generalized colleague matrices. 71 - Lukas Herrmann
Neural and spectral operator surrogates: unified construction and expression rate bounds. 72 - Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao
Numerical analysis of a time discretized method for nonlinear filtering problem with Lévy process observations. 73 - Mohan Zhao
A continuation method for fitting a bandlimited curve to points in the plane. 74 - Hong Zhu, Xiaoxia Liu, Lin Huang, Zhaosong Lu, Jian Lu
Augmented Lagrangian method for tensor low-rank and sparsity models in multi-dimensional image recovery. 75 - Julian Koellermeier
Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation. 76 - Zhengbang Cao, Yimin Wei, Pengpeng Xie:
Randomized GCUR decompositions. 77 - Kui Du
On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems. 78 - Quirin Aumann
Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction. 79 - Linyi Yang, Lei-Hong Zhang
The Lq-weighted dual programming of the linear Chebyshev approximation and an interior-point method. 80 - Ralf Zimmermann
Randomized greedy magic point selection schemes for nonlinear model reduction. 81 - Gabriel Nóbrega Bufolo
Analysis of the leapfrog-Verlet method applied to the Kuwabara-Kono force model in discrete element method simulations of granular materials. 82 - Jing Han, Guangzhi Du:
Two-grid stabilized finite element methods with backtracking for the stationary Navier-Stokes equations. 83 - Mark D. Schubel, Daniel Berwick-Evans, Anil N. Hirani:
Averaging property of wedge product and naturality in discrete exterior calculus. 84 - Alessandro Alla
Online identification and control of PDEs via reinforcement learning methods. 85 - Ana Alonso Rodríguez
Weights for moments' geometrical localization: a canonical isomorphism. 86 - Liyao Hao, Wenyi Tian
Analysis of a WSGD scheme for backward fractional Feynman-Kac equation with nonsmooth data. 87 - Peter Benner
Balanced truncation for quadratic-bilinear control systems. 88 - Pu-Ting Yu
Frame-normalizable sequences. 89 - Anna Yesypenko
SlabLU: a two-level sparse direct solver for elliptic PDEs. 90 - Soura Sana
Convergence analysis of the Dirichlet-Neumann Waveform Relaxation algorithm for time fractional sub-diffusion and diffusion-wave equations in heterogeneous media. 91
Volume 50, Number 5, October 2024
- Bernard Kapidani, Melina Merkel
Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems. 92 - Xiaoxiao Ma, Yingqing Xiao:
Computing eigenvalues of quasi-rational Said-Ball-Vandermonde matrices. 93 - Devika Shylaja
Morley type virtual element method for von Kármán equations. 94 - Dirk Pauly
Families of annihilating skew-selfadjoint operators and their connection to Hilbert complexes. 95 - Nicola Rares Franco
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields. 96 - Desong Kong, Jie Shen
Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. 97 - Bin Han
Interpolating refinable functions and ns-step interpolatory subdivision schemes. 98 - Mengyu Wang, Honghua Cui, Hanyu Li
SVD-based algorithms for tensor wheel decomposition. 99 - Johannes Rettberg, Dominik Wittwar, Patrick Buchfink, Robin Herkert, Jörg Fehr
Improved a posteriori error bounds for reduced port-Hamiltonian systems. 100
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