Journal: Adv. Comput. Math.

Volume 41, Issue 6

955 -- 986Sina Ober-Blöbaum, Nils Saake. Construction and analysis of higher order Galerkin variational integrators
987 -- 1014Niall Madden, Stephen Russell 0005. A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem
1015 -- 1037Ronald W. Butler, Andrew T. A. Wood. Laplace approximation of Lauricella functions F A and F D
1039 -- 1057Xiaogang Xiong, Ryo Kikuuwe, Motoji Yamamoto. Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws
1059 -- 1077Pengzhan Huang, Xinlong Feng, Yinnian He. An efficient two-step algorithm for the incompressible flow problem
1079 -- 1099Mathieu Collowald, Annie A. M. Cuyt, Evelyne Hubert, Wen-shin Lee, Oliver Salazar Celis. Numerical reconstruction of convex polytopes from directional moments
1101 -- 1118Lasse Hjuler Christiansen. Pairs of dual Gabor frames generated by functions of Hilbert-Schmidt type
1119 -- 1144Christian Kruschel, Dirk A. Lorenz. Computing and analyzing recoverable supports for sparse reconstruction
1145 -- 1177Thomas Witkowski, Sigi Ling, Simon Praetorius, Axel Voigt. Software concepts and numerical algorithms for a scalable adaptive parallel finite element method
1179 -- 1205Nicolas Chaulet, Houssem Haddar. Electromagnetic inverse shape problem for coated obstacles

Volume 41, Issue 5

955 -- 960Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban. Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics
961 -- 986Fabien Casenave, Alexandre Ern, Tony Lelièvre. A nonintrusive reduced basis method applied to aeroacoustic simulations
987 -- 1013Magnus Redeker, Bernard Haasdonk. A POD-EIM reduced two-scale model for crystal growth
1015 -- 1034Alexander Sommer, Ortwin Farle, Romanus Dyczij-Edlinger. A fast certified parametric near-field-to-far-field transformation technique for electrically large antenna arrays
1035 -- 1047Volker Schauer, Christian Linder. The reduced basis method in all-electron calculations with finite elements
1049 -- 1072Michael Fischer, Peter Eberhard. Application of parametric model reduction with matrix interpolation for simulation of moving loads in elastic multibody systems
1073 -- 1102Alessandro Alla, Stefan Volkwein. Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE
1103 -- 1130Jean-Frédéric Gerbeau, Damiano Lombardi, Elisa Schenone. Reduced order model in cardiac electrophysiology with approximated Lax pairs
1131 -- 1157Immanuel Martini, Gianluigi Rozza, Bernard Haasdonk. Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system
1159 -- 1186Bernhard Wieland. Implicit partitioning methods for unknown parameter sets - In the context of the reduced basis method
1187 -- 1230David Amsallem, Matthew J. Zahr, Kyle Washabaugh. Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction
1231 -- 1253Peter Benner, Sara Grundel, Nils Hornung. 2-error using radial basis functions
1255 -- 1288Andrea Manzoni, Federico Negri. Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs
1289 -- 1319Omer San, Traian Iliescu. A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation
1321 -- 1342Nguyen Thanh Son, Tatjana Stykel. Model order reduction of parameterized circuit equations based on interpolation
1343 -- 1364Christian Himpe, Mario Ohlberger. Data-driven combined state and parameter reduction for inverse problems
1365 -- 1389Benjamin Peherstorfer, Pablo Gómez, Hans-Joachim Bungartz. Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation

Volume 41, Issue 4

727 -- 780V. V. Zozulya. Regularization of divergent integrals: A comparison of the classical and generalized-functions approaches
781 -- 798Tie Zhang, Lixin Tang. A stabilized finite volume method for Stokes equations using the lowest order P 1 - P 0 element pair
799 -- 812Hehu Xie, Xiaobo Yin. Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem
813 -- 832Jernej Kozak, Marjeta Krajnc, Vito Vitrih. Parametric curves with Pythagorean binormal
833 -- 852Mohammad Asadzadeh, Piotr Kowalczyk. Convergence analysis for Backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system
853 -- 879Wei Zhu 0003. Simulation of liquid crystal elastomers using Chebyshev spectral method with a new preconditioner
881 -- 905Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro. Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics
907 -- 935Gerard Awanou. Pseudo transient continuation and time marching methods for Monge-Ampère type equations
937 -- 951Haibiao Zheng, Lina Song, Yanren Hou, Yuhong Zhang. The partition of unity parallel finite element algorithm

Volume 41, Issue 3

489 -- 505Jirí Kosinka, Michael Barton. Convergence of Wachspress coordinates: from polygons to curved domains
507 -- 528Maria Charina, Geir Dahl. Subdivision schemes, network flows and linear optimization
529 -- 551Shidong Jiang, Leslie Greengard, Shaobo Wang. Efficient sum-of-exponentials approximations for the heat kernel and their applications
553 -- 572Douglas N. Arnold, Gerard Awanou, Weifeng Qiu. Mixed finite elements for elasticity on quadrilateral meshes
573 -- 597Shuhuang Xiang, Guo He, Yeol Je Cho. On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
599 -- 634Gustavo C. Buscaglia, Vitoriano Ruas. Approximation of the multi-dimensional Stokes system with embedded pressure discontinuities
635 -- 662Robert D. Guy, Bobby Philip, Boyce E. Griffith. Geometric multigrid for an implicit-time immersed boundary method
663 -- 689Ratikanta Behera, Mani Mehra, Nicholas K.-R. Kevlahan. Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid
691 -- 708Johan Helsing, Anders Holst. Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
709 -- 726Mariantonia Cotronei, Daniele Ghisi, Milvia Rossini, Tomas Sauer. An anisotropic directional subdivision and multiresolution scheme

Volume 41, Issue 2

277 -- 291Mira Bozzini, Milvia Rossini, Robert Schaback, Elena Volontè. Radial kernels via scale derivatives
293 -- 316Monika Dörfler, Ewa Matusiak. Nonstationary Gabor frames - approximately dual frames and reconstruction errors
317 -- 331Bernhard G. Bodmann, Nathaniel Hammen. Stable phase retrieval with low-redundancy frames
333 -- 355Robert Schaback. A computational tool for comparing all linear PDE solvers - Error-optimal methods are meshless
357 -- 371Jeff Ledford. On the convergence of regular families of cardinal interpolators
373 -- 386Jesús M. Carnicer, Carmen Godés. A Newton formula for generalized Berzolari-Radon sets
387 -- 422Qia Li, Lixin Shen, Yuesheng Xu, Na Zhang. Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing
423 -- 438Yiqiu Dong, Torsten Görner, Stefan Kunis. An algorithm for total variation regularized photoacoustic imaging
439 -- 455Ali W. K. Sangawi. Straight slits map and its inverse of bounded multiply connected regions
457 -- 488Alfio Borzì, Sergio González Andrade. Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems

Volume 41, Issue 1

1 -- 22Silas Alben. Bending of bilayers with general initial shapes
23 -- 53Edward J. Fuselier, Grady B. Wright. Order-preserving derivative approximation with periodic radial basis functions
55 -- 75V. Kostic. On general principles of eigenvalue localizations via diagonal dominance
77 -- 104Alexey Chernov, Duong Pham. Sparse tensor product spectral Galerkin BEM for elliptic problems with random input data on a spheroid
105 -- 130Dilberto da Silva Almeida Júnior, A. J. A. Ramos, M. L. Santos. Observability inequality for the finite-difference semi-discretization of the 1-d coupled wave equations
131 -- 148Zhiyuan Sun, Yuling Jiao, Bangti Jin, Xiliang Lu. Numerical identification of a sparse Robin coefficient
149 -- 190Tong Zhang, Damazio Pedro, Jinyun Yuan. A large time stepping viscosity-splitting finite element method for the viscoelastic flow problem
191 -- 230Kamen Ivanov, Pencho Petrushev. Fast memory efficient evaluation of spherical polynomials at scattered points
231 -- 251M. Calvo, M. P. Laburta, J. I. Montijano, L. Rández. Runge-Kutta projection methods with low dispersion and dissipation errors
253 -- 275Pawel Pilarczyk, Pedro Real. Computation of cubical homology, cohomology, and (co)homological operations via chain contraction