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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.
, Erell Jamelot
:
Variational methods for solving numerically magnetostatic systems. 5 - Thomas Bendokat
, Ralf Zimmermann
, Pierre-Antoine Absil:
A Grassmann manifold handbook: basic geometry and computational aspects. 6 - Mohammed Hachama
, Fatiha Boutaous:
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
, Diana T. Stoeva
:
Dual frames compensating for erasures - a non-canonical case. 9 - Sean Reiter
, Tobias Damm, Mark Embree, Serkan Gugercin:
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
, Patrick Buchfink, Bernard Haasdonk:
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
, Andrea Moiola
:
A space-time DG method for the Schrödinger equation with variable potential. 15 - Elena Zampieri
, Luca F. Pavarino:
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems. 16 - Xuehai Huang, Chao Zhang
, Yaqian Zhou, Yangxing Zhu:
New low-order mixed finite element methods for linear elasticity. 17 - Peter Benner
, Serkan Gugercin
, Steffen W. R. Werner
:
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
, Ralf Zimmermann
, Pierre-Antoine Absil:
Correction: A Grassmann manifold handbook: basic geometry and computational aspects. 20 - Xiao Ye, Xiangcheng Zheng, Jun Liu
, Yue 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
, Anh Huy Phan, Cesar F. Caiafa, Andrzej Cichocki:
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, D. Gómez, D. González:
Numerical simulation of resistance furnaces by using distributed and lumped models. 25 - Ion Victor Gosea
, Serkan Gugercin
, Steffen W. R. Werner
:
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
, Tobias Breiten
:
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, Vera Roshchina, Nadezda Sukhorukova:
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
, Jens Markus Melenk, Jacob C. Badger, Stefan Henneking:
Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides. 35 - Tobias Ehring
, Bernard Haasdonk:
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
, Robert Stephen Jones, Hartmut Monien, Danylo V. Radchenko:
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry. 38 - Louis Lamérand
, Didier Auroux, Philippe Ghendrih, Francesca Rapetti, Eric Serre:
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
, Gengen Zhang, Ziyuan Liu, Xu Qian, Songhe Song:
On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. 41 - Pawan Goyal
, Igor Pontes Duff
, Peter Benner
:
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
, Keltoum Kaliche:
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
, Jiman Zhao:
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
, Olga Mula:
An optimal control framework for adaptive neural ODEs. 52 - Daniel Potts
, Laura Weidensager
:
Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation. 53 - Christoph Strössner, Bonan Sun, Daniel Kressner
:
Approximation in the extended functional tensor train format. 54 - Meiting Wang, Guang-an Zou
, Jian Li:
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system. 55 - Jennifer Przybilla
, Igor Pontes Duff
, Peter Benner
:
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
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