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Advances in Computational Mathematics, Volume 41
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
- 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 - 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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