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Advances in Computational Mathematics, Volume 46
Volume 46, Number 1, February 2020
- Shusen Xie, Su-Cheol Yi
:
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. 1 - Doghonay Arjmand
Modelling long-range interactions in multiscale simulations of ferromagnetic materials. 2 - Ion Victor Gosea
Preserving the DAE structure in the Loewner model reduction and identification framework. 3 - Xuemei Chen
Universal optimal configurations for the p-frame potentials. 4 - Rong An
Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method. 5 - Nicat Aliyev, Volker Mehrmann
Approximation of stability radii for large-scale dissipative Hamiltonian systems. 6 - Fei Zhao, Xia Cui, Guangwei Yuan:
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. 7 - Zongmin Wu, Xuan Zhou
Polynomial convergence order of stochastic Bernstein approximation. 8 - Alessandro Alla
Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. 9 - Cédric Herzet
Performance guarantees for a variational "multi-space" decoder. 10 - Christian Kuehn
Combined error estimates for local fluctuations of SPDEs. 11
Volume 46, Number 2, April 2020
- Qiannan Dong, Shuai Su, Jiming Wu:
Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes. 12 - Stefano Giani
An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. 13 - Mariam Arabyan
On the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells. 14 - Hanzhang Hu, Yanping Chen
A characteristic finite element two-grid algorithm for a compressible miscible displacement problem. 15 - José A. Adell, Daniel Cárdenas-Morales
Stochastic Bernstein polynomials: uniform convergence in probability with rates. 16 - Leslie Greengard, Shidong Jiang
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. 17 - Marc Bonnet, Ruowen Liu
Shape optimization of Stokesian peristaltic pumps using boundary integral methods. 18 - Bei Zhang, Jikun Zhao, Shaochun Chen:
The nonconforming virtual element method for fourth-order singular perturbation problem. 19 - Travis Askham
A boundary integral equation approach to computing eigenvalues of the Stokes operator. 20 - Toni Karvonen
Worst-case optimal approximation with increasingly flat Gaussian kernels. 21 - María J. Benac, Pedro G. Massey
Optimal frame designs for multitasking devices with weight restrictions. 22 - Chaolong Jiang, Yongzhong Song, Yushun Wang:
A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. 23 - Tianliang Hou, Luoping Chen, Yueting Yang, Yin Yang:
Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations. 24 - Rui Li, Yali Gao, Jie Chen, Li Zhang, Xiaoming He
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. 25 - Xin Li, Luming Zhang:
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. 26 - Chuchu Chen, David Cohen
Drift-preserving numerical integrators for stochastic Hamiltonian systems. 27 - Isabelle Cattiaux-Huillard, Laura Saini
Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves. 28 - Avram Sidi:
Vector versions of Prony's algorithm and vector-valued rational approximations. 30 - Nicola Guglielmi, Carmela Scalone:
An efficient method for non-negative low-rank completion. 31 - Andreas Schmidt, Dominik Wittwar, Bernard Haasdonk:
Rigorous and effective a-posteriori error bounds for nonlinear problems - application to RB methods. 32 - Fan Zhang
Exponential boundary-layer approximation space for solving the compressible laminar Navier-Stokes equations. 33 - Bing Zheng, Peng Lv:
Structured backward error analysis for generalized saddle point problems. 34 - Jian Dong
A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction. 35 - Tongyao Pang, Chunlin Wu, Zhifang Liu:
A cubic spline penalty for sparse approximation under tight frame balanced model. 36 - Bingquan Ji, Hong-lin Liao, Luming Zhang:
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. 37 - Giorgia Bellomonte
Frames and weak frames for unbounded operators. 38 - Philipp Grohs, Gitta Kutyniok
Anisotropic multiscale systems on bounded domains. 39
Volume 46, Number 3, March 2020
- Peter Benner
Hankel-norm approximation of large-scale descriptor systems. 40 - Christophe Buet, Bruno Després, Guillaume Morel:
Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport. 41 - Julio Enrique Castrillón-Candás, Mark A. Kon:
Analytic regularity and stochastic collocation of high-dimensional Newton iterates. 42 - Daijun Jiang, Yikan Liu
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. 43 - Xianglong Duan, Chaoyu Quan
A boundary-partition-based Voronoi diagram of d-dimensional balls: definition, properties, and applications. 44 - Simon Sticko
High-order cut finite elements for the elastic wave equation. 45 - Francesca Bonizzoni
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. 46 - Jun Zhang, Xiaofeng Yang
Non-iterative, unconditionally energy stable and large time-stepping method for the Cahn-Hilliard phase-field model with Flory-Huggins-de Gennes free energy. 47 - Xiaoli Li, Jie Shen
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. 48 - Marco Donatelli, Rolf Krause
Multigrid preconditioners for anisotropic space-fractional diffusion equations. 49 - Haitao Leng, Yanping Chen
Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. 50 - Elena Cordero, Maurice A. de Gosson, Monika Dörfler, Fabio Nicola:
Generalized Born-Jordan distributions and applications. 51 - Daria A. Sushnikova
Simple non-extensive sparsification of the hierarchical matrices. 52 - Haiyong Wang
Analysis of multivariate Gegenbauer approximation in the hypercube. 53
Volume 46, Number 4, August 2020
- Tran Nhat Luan, Tra Quoc Khanh
Determination of temperature distribution and thermal flux for two-dimensional inhomogeneous sideways heat equations. 54 - Shivakanth Chary Puligilla, Balaji Jayaraman
Assessment of end-to-end and sequential data-driven learning for non-intrusive modeling of fluid flows. 55 - Yichen Wei, Lijun Yi
An hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. 56 - Dang Van Hieu
Accelerated hybrid methods for solving pseudomonotone equilibrium problems. 58 - Mazen Ali
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. 59 - Wen-ming He, Zhimin Zhang, Qingsong Zou
Local superconvergence of post-processed high-order finite volume element solutions. 60 - Bosco García-Archilla
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. 61 - Lars-Benjamin Maier
Ambient residual penalty approximation of partial differential equations on embedded submanifolds. 62 - Chaobao Huang
Optimal H1 spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation. 63 - Holger Wendland
Solving partial differential equations on (evolving) surfaces with radial basis functions. 64 - Maximilian Bochmann, Lutz Kämmerer, Daniel Potts:
A sparse FFT approach for ODE with random coefficients. 65
Volume 46, Number 5, October 2020
- Zhendong Gu
Spectral collocation method for nonlinear Caputo fractional differential system. 66 - Yekaterina Epshteyn, Qing Xia
Difference potentials method for models with dynamic boundary conditions and bulk-surface problems. 67 - Jian Meng, Liquan Mei:
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. 68 - Fredrik Fryklund
An integral equation-based numerical method for the forced heat equation on complex domains. 69 - Michael S. Floater, Kaibo Hu:
A characterization of supersmoothness of multivariate splines. 70 - Yanhui Zhou, Jiming Wu:
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes. 71 - Jian Lu, Qingtang Jiang
Analysis of adaptive synchrosqueezing transform with a time-varying parameter. 72 - Pitágoras Pinheiro de Carvalho
On the computation of Nash and Pareto equilibria for some bi-objective control problems for the wave equation. 73 - Dibyendu Adak, S. Natarajan
Virtual element methods for nonlocal parabolic problems on general type of meshes. 74 - Yuan Li, Chunfang Zhai:
Unconditionally optimal convergence analysis of second-order BDF Galerkin finite element scheme for a hybrid MHD system. 75
Volume 46, Number 6, December 2020
- Osman Asif Malik
Fast randomized matrix and tensor interpolative decomposition using CountSketch. 76 - Yunqing Huang, Jichun Li
Numerical analysis of a finite element method for the electromagnetic concentrator model. 77 - Ying Yang, Ming Tang, Chun Liu, Benzhuo Lu, Liuqiang Zhong
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem. 78 - Rui Chen
Second-order energy stable schemes for the new model of the Cahn-Hilliard-MHD equations. 79 - José Ailton Alencar Andrade
Exact posterior computation for the binomial-Kumaraswamy model. 80 - Yidu Yang, Yu Zhang, Hai Bi:
Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. 81 - Peter Benner
Balanced truncation of linear time-invariant systems over finite-frequency ranges. 82 - Christopher Beattie, Serkan Gugercin, Zoran Tomljanovic
Sampling-free model reduction of systems with low-rank parameterization. 83
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