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Advances in Computational Mathematics, Volume 48
Volume 48, Number 1, February 2022
- Paola Boito
, Yuli Eidelman, Luca Gemignani
Computing the reciprocal of a ϕ-function by rational approximation. 1 - Carlos Borges
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization. 2 - Tommaso Sorgente
The role of mesh quality and mesh quality indicators in the virtual element method. 3 - Luca Gemignani
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes. 4 - Nadezda Sukhorukova
A generalisation of de la Vallée-Poussin procedure to multivariate approximations. 5 - Yu-Min Chung
Persistence Curves: A canonical framework for summarizing persistence diagrams. 6 - Hasan Karjoun
A structure-preserving algorithm for surface water flows with transport processes. 7
Volume 48, Number 2, April 2022
- Lothar Nannen
Complex-scaled infinite elements for resonance problems in heterogeneous open systems. 8 - Laura Bagur, Stéphanie Chaillat
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber. 9 - Philipp Krah
Wavelet adaptive proper orthogonal decomposition for large-scale flow data. 10 - Georg Maierhofer
Convergence analysis of oversampled collocation boundary element methods in 2D. 11 - Fredrik Fryklund
An adaptive kernel-split quadrature method for parameter-dependent layer potentials. 12 - Xijun Ma, Chungen Shen, Li Wang, Lei-Hong Zhang
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. 13 - Martin W. Licht
On basis constructions in finite element exterior calculus. 14
Volume 48, Number 3, June 2022
- Constantin Greif, Philipp Junk, Karsten Urban
Linear/Ridge expansions: enhancing linear approximations by ridge functions. 15 - Jun Liu, Xiang-Sheng Wang
A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations. 16 - Rob Stevenson
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. 17 - Carlo Marcati
Tensor rank bounds for point singularities in ℝ3. 18 - Hossein Javanshiri
The essence of invertible frame multipliers in scalability. 19 - Jun Lai, Heping Dong
A fast solver for elastic scattering from axisymmetric objects by boundary integral equations. 20 - Matthias Eimer
Implicit finite volume method with a posteriori limiting for transport networks. 21 - Jules K. Djoko
Stokes equations under Tresca friction boundary condition: a truncated approach. 22 - Ba-Duong Chu, Florian Martin, Ulrich Reif
Stabilization of spline bases by extension. 23 - Jichun Li
Development and analysis of two new finite element schemes for a time-domain carpet cloak model. 24 - Ron Levie
Randomized continuous frames in time-frequency analysis. 25 - Jhean E. Pérez-López, Diego Armando Rueda-Gómez
Numerical analysis of a chemotaxis model for tumor invasion. 26 - Yuyu He
A new linearized fourth-order conservative compact difference scheme for the SRLW equations. 27 - Xin An, Ananta K. Majee, Andreas Prohl, Thanh Tran:
Optimal control for a coupled spin-polarized current and magnetization system. 28 - Dang Van Hieu
One-step optimization method for equilibrium problems. 29 - Yang Li, Minfu Feng, Yan Luo:
A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes. 30 - Stefano Zampini
H2Opus: a distributed-memory multi-GPU software package for non-local operators. 31 - Tingyu Wang
Inexact GMRES iterations and relaxation strategies with fast-multipole boundary element method. 32 - Meiling Yue, Fei Xu, Manting Xie
A multilevel Newton's method for the Steklov eigenvalue problem. 33 - Jongho Park
Fast gradient methods for uniformly convex and weakly smooth problems. 34 - Bo Zheng, Jin Qin, Yueqiang Shang
Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations. 35 - Yunho Kim
Numerical investigation into the dependence of the Allen-Cahn equation on the free energy. 36
Volume 48, Number 4, August 2022
- Pierre Marchand
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? 37 - Esmeralda Mainar
Accurate computations with matrices related to bases {tieλt}. 38 - Guash Haile Taddele
Linear approximation method for solving split inverse problems and its applications. 39 - Teng Zhang
Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime. 40 - Xin Li
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. 41 - Abinand Gopal, Per-Gunnar Martinsson:
An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane. 42 - Tomás P. Barrios
Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. 43 - Carlos J. S. Alves, Nuno F. M. Martins
Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems. 44 - Liam Yemm
Design and analysis of the Extended Hybrid High-Order method for the Poisson problem. 45 - David M. Ambrose
Numerical algorithms for water waves with background flow over obstacles and topography. 46 - Ying Liu, Zhen Guan, Yufeng Nie:
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations. 47 - Zhoufeng Wang
An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition. 48 - Tingting Hao, Manman Ma, Xuejun Xu:
Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations. 49 - Lyle Noakes, Erchuan Zhang
Finding geodesics joining given points. 50 - Shantiram Mahata, Rajen Kumar Sinha:
Nonsmooth data optimal error estimates by energy arguments for subdiffusion equations with memory. 51
Volume 48, Number 5, October 2022
- Yuga Iguchi, Toshihiro Yamada:
Weak approximation of SDEs for tempered distributions and applications. 52 - Yasir Arfat
An inertial extragradient algorithm for equilibrium and generalized split null point problems. 53 - Scott Congreve
Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. 54 - Qianqian Ding, Shipeng Mao
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. 55 - Khaled Bouadjila, Ali Samir Saad, Mazen Saad, Wissal Mesfar
Numerical analysis for two-phase flow with non-equilibrium capillary pressure in anisotropic porous media. 56 - Monika Nitsche
Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow. 57 - Mohamed M. S. Nasser, Oona Rainio
Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. 58 - Markus Faustmann
ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. 59 - David B. Stein
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects. 60 - Carlotta Giannelli
Interpolation of 3D data streams with C2 PH quintic splines. 61 - Vincent Coppé, Daan Huybrechs
Efficient function approximation on general bounded domains using splines on a Cartesian grid. 62 - Yabin Zhang
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations. 63 - Thierry Bay, Isabelle Cattiaux-Huillard, Laura Saini
Hermite interpolation by planar cubic-like ATPH. 64 - Nan Jiang, Huanhuan Yang
Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier-Stokes equations. 65 - Arvind K. Saibaba
Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions. 66 - Yafei Sun, Yingxiang Xu
Optimized Ventcel-Schwarz methods for the Cahn-Hilliard equation discretized by the stabilized linear Crank-Nicolson scheme. 67 - Ercília Sousa
Convergence of consistent and inconsistent schemes for fractional diffusion problems with boundaries. 68
Volume 48, Number 6, December 2022
- Rosanna Campagna, Stefano De Marchi
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms. 69 - Gilbert Peralta
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations. 70 - Chaowen Zheng, Zhuochao Tang, Jingfang Huang
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration. 71 - Xavier Claeys, Francis Collino, Emile Parolin
Nonlocal optimized schwarz methods for time-harmonic electromagnetics. 72 - Tim Keil, Hendrik Kleikamp
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. 73 - Simone Göttlich
Control strategies for transport networks under demand uncertainty. 74 - Alexandra Würth, Mickaël Binois, Paola Goatin, Simone Göttlich
Data-driven uncertainty quantification in macroscopic traffic flow models. 75 - Luigi Brugnano
A new framework for polynomial approximation to differential equations. 76 - Shuli Chen
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation. 77 - M. Arrutselvi, E. Natarajan, Sundararajan Natarajan:
Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. 78 - Tim De Ryck
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs. 79 - Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
Rectangular eigenvalue problems. 80 - Cindy Guichard, El Houssaine Quenjel:
Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations. 81 - Dewei Cao, Hu Chen
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation. 82 - Idriss El Mourabit
A theoretical study of a bilateral term with a tensor-based fourth-order PDE for image super-resolution. 83 - Tong Mao, Ding-Xuan Zhou
Approximation of functions from Korobov spaces by deep convolutional neural networks. 84 - Sergio Amat, David Levin, Juan Ruiz-Álvarez
Explicit multivariate approximations from cell-average data. 85
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