Advances in Computational Mathematics, Volume 41 (original) (raw)



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Volume 41, Number 1, February 2015

Silas Alben
:
Bending of bilayers with general initial shapes. 1-22

Edward J. Fuselier, Grady B. Wright:
Order-preserving derivative approximation with periodic radial basis functions. 23-53

Vladimir Kostic
:
On general principles of eigenvalue localizations via diagonal dominance. 55-75

Alexey Chernov
, Duong Pham:
Sparse tensor product spectral Galerkin BEM for elliptic problems with random input data on a spheroid. 77-104

Dilberto da Silva Almeida Júnior, Anderson de Jesus Araújo Ramos, Mauro L. Santos:
Observability inequality for the finite-difference semi-discretization of the 1-d coupled wave equations. 105-130

Zhiyuan Sun
, Yuling Jiao, Bangti Jin, Xiliang Lu
:
Numerical identification of a sparse Robin coefficient. 131-148

Tong Zhang, Damazio Pedro, JinYun Yuan:
A large time stepping viscosity-splitting finite element method for the viscoelastic flow problem. 149-190

Kamen G. Ivanov
, Pencho Petrushev:
Fast memory efficient evaluation of spherical polynomials at scattered points. 191-230

Manuel Calvo, M. P. Laburta, Juan I. Montijano, Luis Rández:
Runge-Kutta projection methods with low dispersion and dissipation errors. 231-251

Pawel Pilarczyk
, Pedro Real
:
Computation of cubical homology, cohomology, and (co)homological operations via chain contraction. 253-275
Volume 41, Number 2, April 2015

Mira Bozzini, Milvia Rossini, Robert Schaback, Elena Volontè:
Radial kernels via scale derivatives. 277-291

Monika Dörfler
, Ewa Matusiak
:
Nonstationary Gabor frames - approximately dual frames and reconstruction errors. 293-316

Bernhard G. Bodmann, Nathaniel Hammen:
Stable phase retrieval with low-redundancy frames. 317-331

Robert Schaback:
A computational tool for comparing all linear PDE solvers - Error-optimal methods are meshless. 333-355

Jeff Ledford:
On the convergence of regular families of cardinal interpolators. 357-371

Jesús M. Carnicer, Carmen Godés:
A Newton formula for generalized Berzolari-Radon sets. 373-386

Qia Li, Lixin Shen, Yuesheng Xu, Na Zhang:
Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. 387-422

Yiqiu Dong
, Torsten Görner, Stefan Kunis:
An algorithm for total variation regularized photoacoustic imaging. 423-438

Ali W. K. Sangawi:
Straight slits map and its inverse of bounded multiply connected regions. 439-455

Alfio Borzì
, Sergio González Andrade
:
Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems. 457-488
Volume 41, Number 3, June 2015

Jirí Kosinka
, Michael Barton
:
Convergence of Wachspress coordinates: from polygons to curved domains. 489-505

Maria Charina
, Geir Dahl
:
Subdivision schemes, network flows and linear optimization. 507-528

Shidong Jiang
, Leslie Greengard
, Shaobo Wang:
Efficient sum-of-exponentials approximations for the heat kernel and their applications. 529-551

Douglas N. Arnold
, Gerard Awanou, Weifeng Qiu
:
Mixed finite elements for elasticity on quadrilateral meshes. 553-572

Shuhuang Xiang
, Guo He, Yeol Je Cho:
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. 573-597

Gustavo C. Buscaglia
, Vitoriano Ruas:
Approximation of the multi-dimensional Stokes system with embedded pressure discontinuities. 599-634

Robert D. Guy, Bobby Philip
, Boyce E. Griffith
:
Geometric multigrid for an implicit-time immersed boundary method. 635-662

Ratikanta Behera
, Mani Mehra
, Nicholas K.-R. Kevlahan
:
Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid. 663-689

Johan Helsing
, Anders Holst
:
Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems. 691-708

Mariantonia Cotronei
, Daniele Ghisi, Milvia Rossini, Tomas Sauer:
An anisotropic directional subdivision and multiresolution scheme. 709-726
Volume 41, Number 4, August 2015

V. V. Zozulya:
Regularization of divergent integrals: A comparison of the classical and generalized-functions approaches. 727-780

Tie Zhang, Lixin Tang
:
A stabilized finite volume method for Stokes equations using the lowest order P 1 - P 0 element pair. 781-798

Hehu Xie, Xiaobo Yin:
Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. 799-812

Jernej Kozak, Marjeta Krajnc
, Vito Vitrih:
Parametric curves with Pythagorean binormal. 813-832

Mohammad Asadzadeh, Piotr Kowalczyk
:
Convergence analysis for Backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system. 833-852

Wei Zhu:
Simulation of liquid crystal elastomers using Chebyshev spectral method with a new preconditioner. 853-879

Pierluigi Amodio
, Luigi Brugnano
, Felice Iavernaro
:
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. 881-905

Gerard Awanou:
Pseudo transient continuation and time marching methods for Monge-Ampère type equations. 907-935

Haibiao Zheng, Lina Song, Yanren Hou
, Yuhong Zhang:
The partition of unity parallel finite element algorithm. 937-951
Volume 41, Number 5, October 2015
Special Issue on Model Order Reduction of Parameterized Systems (MoRePaS)

Peter 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. 955-960

Fabien Casenave
, Alexandre Ern, Tony Lelièvre
:
A nonintrusive reduced basis method applied to aeroacoustic simulations. 961-986

Magnus Redeker, Bernard Haasdonk:
A POD-EIM reduced two-scale model for crystal growth. 987-1013

Alexander Sommer, Ortwin Farle, Romanus Dyczij-Edlinger:
A fast certified parametric near-field-to-far-field transformation technique for electrically large antenna arrays. 1015-1034

Volker Schauer, Christian Linder
:
The reduced basis method in all-electron calculations with finite elements. 1035-1047

Michael Fischer, Peter Eberhard
:
Application of parametric model reduction with matrix interpolation for simulation of moving loads in elastic multibody systems. 1049-1072

Alessandro Alla
, Stefan Volkwein:
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. 1073-1102

Jean-Frédéric Gerbeau, Damiano Lombardi, Elisa Schenone:
Reduced order model in cardiac electrophysiology with approximated Lax pairs. 1103-1130

Immanuel Martini, Gianluigi Rozza, Bernard Haasdonk:
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. 1131-1157

Bernhard Wieland:
Implicit partitioning methods for unknown parameter sets - In the context of the reduced basis method. 1159-1186

David Amsallem, Matthew J. Zahr
, Kyle Washabaugh:
Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction. 1187-1230

Peter Benner
, Sara Grundel, Nils Hornung:
Parametric model order reduction with a small ℋ2-error using radial basis functions. 1231-1253

Andrea Manzoni
, Federico Negri:
Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs. 1255-1288

Omer San
, Traian Iliescu:
A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation. 1289-1319

Nguyen Thanh Son
, Tatjana Stykel:
Model order reduction of parameterized circuit equations based on interpolation. 1321-1342

Christian Himpe
, Mario Ohlberger
:
Data-driven combined state and parameter reduction for inverse problems. 1343-1364

Benjamin Peherstorfer, Pablo Gómez
, Hans-Joachim Bungartz:
Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation. 1365-1389
Volume 41, Number 6, December 2015

Sina Ober-Blöbaum, Nils Saake:
Construction and analysis of higher order Galerkin variational integrators. 955-986

Niall Madden
, Stephen Russell:
A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem. 987-1014

Ronald W. Butler, Andrew T. A. Wood:
Laplace approximation of Lauricella functions F A and F D. 1015-1037

Xiaogang Xiong
, Ryo Kikuuwe
, Motoji Yamamoto:
Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws. 1039-1057

Pengzhan Huang
, Xinlong Feng
, Yinnian He:
An efficient two-step algorithm for the incompressible flow problem. 1059-1077

Mathieu Collowald, Annie A. M. Cuyt, Evelyne Hubert, Wen-shin Lee, Oliver Salazar Celis
:
Numerical reconstruction of convex polytopes from directional moments. 1079-1099

Lasse Hjuler Christiansen
:
Pairs of dual Gabor frames generated by functions of Hilbert-Schmidt type. 1101-1118

Christian Kruschel, Dirk A. Lorenz
:
Computing and analyzing recoverable supports for sparse reconstruction. 1119-1144

Thomas Witkowski, Siqi Ling, Simon Praetorius
, Axel Voigt
:
Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. 1145-1177

Nicolas Chaulet, Houssem Haddar:
Electromagnetic inverse shape problem for coated obstacles. 1179-1205

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