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ORCIDComputational Methods in Applied Mathematics, Volume 19
Volume 19, Number 1, January 2019
- Ivan P. Gavrilyuk, Boris N. Khoromskij:
Tensor Numerical Methods: Actual Theory and Recent Applications. 1-4 - Peter Benner, Akwum Onwunta, Martin Stoll
:
A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. 5-22 - Sergey V. Dolgov:
A Tensor Decomposition Algorithm for Large ODEs with Conservation Laws. 23-38 - Martin Eigel, Johannes Neumann, Reinhold Schneider, Sebastian Wolf:
Non-intrusive Tensor Reconstruction for High-Dimensional Random PDEs. 39-53 - Ivan P. Gavrilyuk, Boris N. Khoromskij:
Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. 55-71 - Emil Kieri, Bart Vandereycken:
Projection Methods for Dynamical Low-Rank Approximation of High-Dimensional Problems. 73-92 - Maxim A. Kuznetsov, Ivan V. Oseledets:
Tensor Train Spectral Method for Learning of Hidden Markov Models (HMM). 93-99 - Alexander Litvinenko, David E. Keyes, Venera Khoromskaia, Boris N. Khoromskij, Hermann G. Matthies:
Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. 101-122 - Angelos Mantzaflaris, Felix Scholz, Ioannis Toulopoulos:
Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients. 123-136 - Ekaterina A. Muravleva, Ivan V. Oseledets:
Approximate Solution of Linear Systems with Laplace-like Operators via Cross Approximation in the Frequency Domain. 137-145 - Alwin Stegeman, Lieven De Lathauwer:
Rayleigh Quotient Methods for Estimating Common Roots of Noisy Univariate Polynomials. 147-163
Volume 19, Number 2, April 2019
- Neela Nataraj:
Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications. 165-167 - Lothar Banz, Bishnu P. Lamichhane, Ernst P. Stephan:
Higher Order Mixed FEM for the Obstacle Problem of the p-Laplace Equation Using Biorthogonal Systems. 169-188 - Rahul Biswas, Asha K. Dond, Thirupathi Gudi:
Edge Patch-Wise Local Projection Stabilized Nonconforming FEM for the Oseen Problem. 189-214 - Susanne C. Brenner, Jintao Cui, Li-Yeng Sung:
Multigrid Methods Based on Hodge Decomposition for a Quad-Curl Problem. 215-232 - Carsten Carstensen, Asha K. Dond, Hella Rabus:
Quasi-Optimality of Adaptive Mixed FEMs for Non-selfadjoint Indefinite Second-Order Linear Elliptic Problems. 233-250 - Jay Gopalakrishnan, Luka Grubisic, Jeffrey S. Ovall, Benjamin Parker:
Analysis of FEAST Spectral Approximations Using the DPG Discretization. 251-266 - Jean-Pierre Raymond:
Stabilizability of Infinite Dimensional Systems by Finite Dimensional Control. 267-282 - Vidar Thomée, A. S. Vasudeva Murthy:
An Explicit-Implicit Splitting Method for a Convection-Diffusion Problem. 283-293 - Andreas Veeser:
Positivity Preserving Gradient Approximation with Linear Finite Elements. 295-310 - Immanuel Anjam, Dirk Pauly:
An Elementary Method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations. 311-322 - Lyubomir Boyadjiev, Kamal Rashedi, Mourad Sini:
Estimation of the Time-Dependent Body Force Needed to Exert on a Membrane to Reach a Desired State at the Final Time. 323-339 - Ronghong Fan, Yanru Liu, Shuo Zhang:
Mixed Schemes for Fourth-Order DIV Equations. 341-357 - Jichun Li, Chen Meng, Yunqing Huang:
Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model. 359-378 - Volodymyr L. Makarov, Nataliya V. Mayko:
The Boundary Effect in the Accuracy Estimate for the Grid Solution of the Fractional Differential Equation. 379-394
Volume 19, Number 3, July 2019
- Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer:
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. 395-397 - Constantin Bacuta, Jacob Jacavage:
A Non-conforming Saddle Point Least Squares Approach for an Elliptic Interface Problem. 399-414 - Fleurianne Bertrand, Zhiqiang Cai, Eun Young Park:
Least-Squares Methods for Elasticity and Stokes Equations with Weakly Imposed Symmetry. 415-430 - Wolfgang Dahmen, Rob P. Stevenson:
Adaptive Strategies for Transport Equations. 431-464 - Johannes Ernesti, Christian Wieners:
Space-Time Discontinuous Petrov-Galerkin Methods for Linear Wave Equations in Heterogeneous Media. 465-481 - Thomas Führer:
Superconvergent DPG Methods for Second-Order Elliptic Problems. 483-502 - Paul Houston, Ignacio Muga, Sarah Roggendorf, Kristoffer G. van der Zee:
The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method. 503-522 - Jaime Mora, Leszek F. Demkowicz:
Fast Integration of DPG Matrices Based on Sum Factorization for all the Energy Spaces. 523-555 - Ignacio Muga, Matthew J. W. Tyler, Kristoffer G. van der Zee:
The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces. 557-579 - Nathan V. Roberts:
Camellia: A Rapid Development Framework for Finite Element Solvers. 581-602 - Jacob Salazar, Jaime Mora, Leszek F. Demkowicz:
Alternative Enriched Test Spaces in the DPG Method for Singular Perturbation Problems. 603-630 - Chad R. Westphal:
A Newton Div-Curl Least-Squares Finite Element Method for the Elliptic Monge-Ampère Equation. 631-643 - Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma:
The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials. 645-661 - Fleurianne Bertrand, Marcel Moldenhauer, Gerhard Starke:
A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction. 663-679 - Max D. Gunzburger, Nan Jiang, Zhu Wang:
A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems. 681-701
Volume 19, Number 4, October 2019
- Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier:
Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. 703-722 - Matteo Cicuttin, Alexandre Ern, Simon Lemaire:
A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems. 723-748 - Florian Dreier, Sergiy Pereverzyev Jr., Markus Haltmeier:
Operator Learning Approach for the Limited View Problem in Photoacoustic Tomography. 749-764 - Santhosh George, K. Kanagaraj:
Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales. 765-778 - Pei-Lin Liu, Zhenbin Fan, Gang Li, Sergey Piskarev:
Maximal Regularity for Fractional Cauchy Equation in Hölder Space and Its Approximation. 779-796 - (Withdrawn) Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls. 797-811
- Rezvan Salehi:
Two Implicit Meshless Finite Point Schemes for the Two-Dimensional Distributed-Order Fractional Equation. 813-831 - Yunxia Wei, Yanping Chen, Yunqing Huang:
Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation. 833-847 - Xiao Zhang, Xiaoping Xie, Shiquan Zhang:
An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems. 849-861
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