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ORCIDAdvances in Computational Mathematics, Volume 47
Volume 47, Number 1, February 2021
- Moreno Pintore
, Federico Pichi, Martin W. Hess, Gianluigi Rozza, Claudio Canuto:
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. 1 - Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier, Nitesh Verma:
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. 2 - Yibao Li, Qian Yu, Weiwei Fang, Binhu Xia, Junseok Kim:
A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system. 3 - Ben Adcock, Mohsen Seifi:
Frame approximation with bounded coefficients. 4 - Tom Needham, Clayton Shonkwiler:
Symplectic geometry and connectivity of spaces of frames. 5 - Deepesh Toshniwal, Michael DiPasquale:
Counting the dimension of splines of mixed smoothness. 6 - Jiangyong Hou, Wenjing Yan, Dan Hu, Zhengkang He:
Robin-Robin domain decomposition methods for the dual-porosity-conduit system. 7 - Wansheng Wang, Mengli Mao, Zheng Wang:
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations. 8 - Zhi Li, Ming Yan:
New convergence analysis of a primal-dual algorithm with large stepsizes. 9 - Souad Mohaoui, Abdelilah Hakim, Said Raghay:
Tensor completion via bilevel minimization with fixed-point constraint to estimate missing elements in noisy data. 10 - Fabian Laakmann, Philipp Petersen:
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs. 11 - Mani Mehra, Ankita Shukla, Günter Leugering:
An adaptive spectral graph wavelet method for PDEs on networks. 12 - Xuan Thanh Nguyen, Mai Duc Thanh, Dao Huy Cuong:
A well-balanced high-order scheme on van Leer-type for the shallow water equations with temperature gradient and variable bottom topography. 13 - Cong Wu, Xiaochen Zeng, Na Mi:
Adaptive and optimal pointwise deconvolution density estimations by wavelets. 14 - Rodolfo Araya, Cristian Cárcamo, Abner H. Poza, Frédéric Valentin:
An adaptive multiscale hybrid-mixed method for the Oseen equations. 15 - Deepesh Toshniwal, Bernard Mourrain, Thomas J. R. Hughes:
Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension. 16 - Kevin Schober, Jürgen Prestin, Serhii A. Stasyuk:
Edge detection with trigonometric polynomial shearlets. 17
Volume 47, Number 2, April 2021
- Costanza Conti, Mariantonia Cotronei, Demetrio Labate, Wilfredo Molina:
Stable recovery of planar regions with algebraic boundaries in Bernstein form. 18 - Hanz Martin Cheng, Jan H. M. ten Thije Boonkkamp:
A generalised complete flux scheme for anisotropic advection-diffusion equations. 19 - Jérôme Droniou, Neela Nataraj, Devika Shylaja:
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. 20 - Hongtao Chen, Xiaobing Feng, Zhimin Zhang:
A recovery-based linear C0 finite element method for a fourth-order singularly perturbed Monge-Ampère equation. 21 - Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Odim Mendes, Kai Schneider:
Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics. 22 - Xuping Wang, Qifeng Zhang, Zhi-Zhong Sun:
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation. 23 - Alexey Chernov, Carlo Marcati, Lorenzo Mascotto:
p- and hp- virtual elements for the Stokes problem. 24 - Maria Charina, Costanza Conti, Thomas Mejstrik, Jean-Louis Merrien:
Joint spectral radius and ternary hermite subdivision. 25 - Oleg Balabanov, Anthony Nouy:
Randomized linear algebra for model reduction - part II: minimal residual methods and dictionary-based approximation. 26 - Fei Xu, Meiling Yue, Bin Zheng:
Multilevel correction adaptive finite element method for solving nonsymmetric eigenvalue problems. 27 - Xiu Ye, Shangyou Zhang:
A stabilizer-free pressure-robust finite element method for the Stokes equations. 28 - Jiao-Fen Li, Wen Li, Xue-Feng Duan, Mingqing Xiao:
Newton's method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils. 29
Volume 47, Number 3, June 2021
- Haitao Leng, Yanping Chen:
Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems. 30 - Xiaoyan Song, Guang-Hui Zheng, Lijian Jiang:
Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations. 31 - Yuanyuan Zhang, Chuanjun Chen, Chunjia Bi:
A quadratic finite volume method for nonlinear elliptic problems. 32 - Nguyen Hieu Thao, Oleg Soloviev, Michel Verhaegen:
Convex combination of alternating projection and Douglas-Rachford operators for phase retrieval. 33 - Fleurianne Bertrand, Daniele Boffi, Gonzalo Gonzalez de Diego:
Convergence analysis of the scaled boundary finite element method for the Laplace equation. 34 - Qifeng Zhang, Jan S. Hesthaven, Zhi-Zhong Sun, Yunzhu Ren:
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. 35 - Michael Hinze, Denis Korolev:
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. 36 - Yuling Guo, Zhongqing Wang:
An hp-version Legendre spectral collocation method for multi-order fractional differential equations. 37 - Yubing Sui, Jingzhou Jiang, Guigen Jin, Xiaofeng Yang:
Second-order accurate and energy stable numerical scheme for an immiscible binary mixture of nematic liquid crystals and viscous fluids with strong anchoring potentials. 38 - Robin Ahrens, Sabine Le Borne:
Reconstruction of low-rank aggregation kernels in univariate population balance equations. 39 - Julio Enrique Castrillón-Candás, Fabio Nobile, Raúl Tempone:
A hybrid collocation-perturbation approach for PDEs with random domains. 40 - Huan Liu, Xiangcheng Zheng, Chuanjun Chen, Hong Wang:
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. 41 - Timon S. Gutleb:
A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels. 42 - Peter Benner, Serkan Gugercin, Steffen W. R. Werner:
Structure-preserving interpolation of bilinear control systems. 43 - Kendall E. Atkinson, David Da-Kwun Chien, Olaf Hansen:
Multivariate quadrature of a singular integrand. 44 - Bowei Wu, Per-Gunnar Martinsson:
Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators. 45 - Yongseok Jang, Simon Shaw:
A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law. 46 - Mario Kapl, Vito Vitrih:
Cs-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations. 47
Volume 47, Number 4, August 2021
- Ole W. Christensen, Say Song Goh, Hong Oh Kim, Rae Young Kim:
Translation partitions of unity, symmetry properties, and Gabor frames. 49 - Ulrich Reif, Andreas Weinmann:
Clothoid fitting and geometric Hermite subdivision. 50 - Cristina Campi, Francesco Marchetti, Emma Perracchione:
Learning via variably scaled kernels. 51 - Jun Hu, Limin Ma, Rui Ma:
Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements. 52 - Daniel Potts, Manfred Tasche:
Continuous window functions for NFFT. 53 - Kevin Schlegel:
When is there a representer theorem? 54 - Evelyn Buckwar, Raffaele D'Ambrosio:
Exponential mean-square stability properties of stochastic linear multistep methods. 55 - Xiaojing Zhu, Hiroyuki Sato:
Cayley-transform-based gradient and conjugate gradient algorithms on Grassmann manifolds. 56 - Nasim Eshghi, Lothar Reichel:
Estimating the error in matrix function approximations. 57 - Hongfei Fu, Chen Zhu, Xueting Liang, Bingyin Zhang:
Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations. 58 - Pengyu Hou, Fang Liu:
Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics. 59 - William E. Leeb:
Rapid evaluation of the spectral signal detection threshold and Stieltjes transform. 60
Volume 47, Number 5, October 2021
- Mehdi Elasmi, Christoph Erath, Stefan Kurz:
Non-symmetric isogeometric FEM-BEM couplings. 61 - Ernö Robert Csetnek, Andrew C. Eberhard, Matthew K. Tam:
Convergence rates for boundedly regular systems. 62 - Hui Zhang, Xiaoyun Jiang, Fanhai Zeng:
An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations. 63 - Leijie Qiao, Da Xu:
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. 64 - Jingfang Huang, Jian Cao, Fuhui Fang, Marc G. Genton, David E. Keyes, George Turkiyyah:
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution I: fundamentals. 65 - Nicola Guglielmi, Daniel Kressner, Carmela Scalone:
Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. 66 - Zhao-Zheng Liang, Guo-Feng Zhang:
Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems. 67 - Ivan G. Graham, Owen R. Pembery, Euan A. Spence:
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. 68 - Wen Yan, Robert Blackwell:
Kernel aggregated fast multipole method. 69 - Xue Sun, Zhongli Liu, Hongjiong Tian:
An alternative approach for order conditions of Runge-Kutta-Nyström methods. 70 - Nan Zheng, Xiaoli Li:
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. 71 - Pedro González-Casanova, Víctor Hernández-Santamaría:
Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations. 72 - Rong Huang, Jungong Xue:
Accurate singular values of a class of parameterized negative matrices. 73 - Elham Farazandeh, Davoud Mirzaei:
A rational RBF interpolation with conditionally positive definite kernels. 74 - Sascha Timme:
Mixed precision path tracking for polynomial homotopy continuation. 75 - Johan Helsing, Anders Karlsson, Andreas Rosén:
Comparison of integral equations for the Maxwell transmission problem with general permittivities. 76 - Tomás P. Barrios, Edwin M. Behrens, Rommel Bustinza:
An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms. 77 - Evelyn Buckwar, Raffaele D'Ambrosio:
Correction to: Exponential mean-square stability properties of stochastic linear multistep methods. 78 - Wenjie Liu, Li-Lian Wang, Boying Wu:
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation. 79
Volume 47, Number 6, January 2021
- Pham Quy Muoi, Wee Chin Tan, Viet Ha Hoang:
Essentially optimal finite elements for multiscale elliptic eigenvalue problems. 80 - Jürgen Dölz, Herbert Egger, Vsevolod Shashkov:
A fast and oblivious matrix compression algorithm for Volterra integral operators. 81 - Mario Kapl, Giancarlo Sangalli, Thomas Takacs:
A family of C1 quadrilateral finite elements. 82 - Gang Wang, Feng Wang, Yinnian He:
A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. 83 - Milana Gataric:
High-resolution signal recovery via generalized sampling and functional principal component analysis. 84 - Andreas Kleefeld:
The hot spots conjecture can be false: some numerical examples. 85 - Craig Gross, Mark A. Iwen, Lutz Kämmerer, Toni Volkmer:
A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size. 86 - Francisco Guillén-González, M. A. Rodríguez-Bellido, Diego Armando Rueda-Gómez:
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes. 87 - Huiping Li, Song Li:
Riemannian optimization for phase retrieval from masked Fourier measurements. 88
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