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Mathematics of Computation, Volume 84
Volume 84, Number 291, 2015
- Daniele A. Di Pietro  , Simon Lemaire , Simon Lemaire : :
 An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. 1-31
- Thomas Apel, Johannes Pfefferer, Arnd Rösch: 
 Finite element error estimates on the boundary with application to optimal control. 33-70
- Qun Lin, Hehu Xie: 
 A multi-level correction scheme for eigenvalue problems. 71-88
- Weiming Cao: 
 Superconvergence analysis of the linear finite element method and a gradient recovery postprocessing on anisotropic meshes. 89-117
- Vincent Lescarret, Enrique Zuazua  : :
 Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. 119-152
- Daniele A. Di Pietro  , Martin Vohralík, Soleiman Yousef: , Martin Vohralík, Soleiman Yousef:
 Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. 153-186
- Yannan Chen, Wenyu Sun: 
 A dwindling filter line search method for unconstrained optimization. 187-208
- Yi Zhang, Liwei Zhang, Jia Wu, Jianzhong Zhang: 
 A perturbation approach for an inverse quadratic programming problem over second-order cones. 209-236
- Ben Adcock  , Anders C. Hansen: , Anders C. Hansen:
 Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients. 237-270
- Jingwei Hu, Lexing Ying: 
 A fast algorithm for the energy space boson Boltzmann collision operator. 271-288
- Benjamin Hutz: 
 Determination of all rational preperiodic points for morphisms of PN. 289-308
- Zhenxiang Zhang: 
 Estimating the counts of Carmichael and Williams numbers with small multiple seeds. 309-337
- Minkyu Kim, Jung Hee Cheon: 
 Computing prime divisors in an interval. 339-354
- David Loeffler  , Jared Weinstein: , Jared Weinstein:
 Erratum: "On the computation of local components of a newform". 355-356
- Karim Belabas, Eduardo Friedman: 
 Computing the residue of the Dedekind zeta function. 357-369
- Frédéric Pitoun, Firmin Varescon: 
 Computing the torsion of the p-ramified module of a number field. 371-383
- Francesco Pappalardi  : :
 Divisibility of reduction in groups of rational numbers. 385-407
- Gary R. W. Greaves: 
 Small-span Hermitian matrices over quadratic integer rings. 409-424
- Michael O. Rubinstein, Shuntaro Yamagishi: 
 Computing the moment polynomials of the zeta function. 425-454
- Thorsten Theobald, Timo de Wolff: 
 Approximating amoebas and coamoebas by sums of squares. 455-473
- Fredrik Johansson: 
 A fast algorithm for reversion of power series. 475-484
- Michael Cuntz  , Christian Stump: , Christian Stump:
 On root posets for noncrystallographic root systems. 485-503
- José María Grau  , Antonio M. Oller-Marcén , Antonio M. Oller-Marcén , Daniel Sadornil , Daniel Sadornil : :
 A primality test for Kpn+1 numbers. 505-512
Volume 84, Number 292, 2015
- Christian Lubich, Dhia Mansour: 
 Variational discretization of wave equations on evolving surfaces. 513-542
- Jichun Li  , Yunqing Huang , Yunqing Huang , Wei Yang: , Wei Yang:
 Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks. 543-562
- Jun Hu, Shangyou Zhang: 
 The minimal conforming Hk finite element spaces on Rn rectangular grids. 563-579
- Norbert Heuer  , Francisco-Javier Sayas: , Francisco-Javier Sayas:
 Analysis of a non-symmetric coupling of Interior Penalty DG and BEM. 581-598
- Zhongying Chen, Yuesheng Xu, Yuanyuan Zhang: 
 A construction of higher-order finite volume methods. 599-628
- Kohei Soga: 
 Stochastic and variational approach to the Lax-Friedrichs scheme. 629-651
- Zhonghua Qiao, Zhi-Zhong Sun, Zhengru Zhang: 
 Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection. 653-674
- Oscar Gonzalez, Jun Li: 
 A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in R3. 675-714
- Simai He  , Zhening Li , Zhening Li , Shuzhong Zhang: , Shuzhong Zhang:
 Inhomogeneous polynomial optimization over a convex set: An approximation approach. 715-741
- Martin Sauer, Wilhelm Stannat  : :
 Lattice approximation for stochastic reaction diffusion equations with one-sided Lipschitz condition. 743-766
- Bin Han  : :
 Algorithm for constructing symmetric dual framelet filter banks. 767-801
- Ioannis K. Argyros, Miguel Ángel Hernández-Verón, Saïd Hilout, Natalia Romero Álvarez: 
 Directional Chebyshev-type methods for solving equations. 815-830
- Xavier-François Roblot: 
 Computing p-adic L-functions of totally real number fields. 831-874
- Xavier Guitart, Marc Masdeu  : :
 Elementary matrix decomposition and the computation of Darmon points with higher conductor. 875-893
- J. E. Cremona  , Tom A. Fisher , Tom A. Fisher , Cathy O'Neil, Denis Simon, Michael Stoll: , Cathy O'Neil, Denis Simon, Michael Stoll:
 Explicit n-descent on elliptic curves III. Algorithms. 895-922
- Jennifer S. Balakrishnan, Mirela Çiperiani, William Stein: 
 p-adic heights of Heegner points and Λ-adic regulators. 923-954
- Cornelius Greither, Xavier-François Roblot, Brett A. Tangedal: 
 Corrigendum to "The Brumer-Stark conjecture in some families of extensions of specified degree". 955-957
- Roberto La Scala  : :
 Gröbner bases and gradings for partial difference ideals. 959-985
- Alexei G. Myasnikov  , Andrey Nikolaev, Alexander Ushakov , Andrey Nikolaev, Alexander Ushakov : :
 Knapsack problems in groups. 987-1016
Volume 84, Number 293, 2015
- Susanne C. Brenner, Li-Yeng Sung: 
 Piecewise H1 functions and vector fields associated with meshes generated by independent refinements. 1017-1036
- Jayadeep Gopalakrishnan  , F. Li, Ngoc Cuong Nguyen , F. Li, Ngoc Cuong Nguyen , Jaime Peraire: , Jaime Peraire:
 Spectral approximations by the HDG method. 1037-1059
- Carsten Carstensen, Dietmar Gallistl  , Mira Schedensack: , Mira Schedensack:
 Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. 1061-1087
- Franz Chouly  , Patrick Hild, Yves Renard: , Patrick Hild, Yves Renard:
 Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments. 1089-1112
- Hengguang Li  : :
 Regularity and multigrid analysis for Laplace-type axisymmetric equations. 1113-1144
- Ohannes A. Karakashian, Charalambos G. Makridakis: 
 A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. 1145-1167
- Zhilin Li  : :
 On convergence of the immersed boundary method for elliptic interface problems. 1169-1188
- Tomoaki Okayama  , Takayasu Matsuo, Masaaki Sugihara: , Takayasu Matsuo, Masaaki Sugihara:
 Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. 1189-1215
- Sören Bartels  : :
 Error control and adaptivity for a variational model problem defined on functions of bounded variation. 1217-1240
- Laurent Demaret, Armin Iske: 
 Optimal N-term approximation by linear splines over anisotropic Delaunay triangulations. 1241-1264
- Peter Franek, Stefan Ratschan: 
 Effective topological degree computation based on interval arithmetic. 1265-1290
- María López-Fernández, Stefan A. Sauter: 
 Fast and stable contour integration for high order divided differences via elliptic functions. 1291-1315
- João Pedro Morais, Isabel Cação: 
 Quaternion Zernike spherical polynomials. 1317-1337
- Laura Faber, Habiba Kadiri: 
 New bounds for π(x). 1339-1357
- Olivier Ramaré: 
 Explicit estimates on several summatory functions involving the Moebius function. 1359-1387
- Fintan J. Costello, Paul Watts  : :
 An upper bound on Jacobsthal's function. 1389-1399
- Cris Poor, David S. Yuen: 
 Paramodular cusp forms. 1401-1438
- Timothy S. Trudgian: 
 An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions. 1439-1450
- Oliver Braun, Renaud Coulangeon: 
 Perfect lattices over imaginary quadratic number fields. 1451-1467
- Jinxiang Zeng, Linsheng Yin: 
 On the computation of coefficients of modular forms: The reduction modulo p approach. 1469-1488
- Eric Jespers  , S. O. Juriaans, Ann Kiefer , S. O. Juriaans, Ann Kiefer , A. de A. e Silva, A. C. Souza Filho , A. de A. e Silva, A. C. Souza Filho : :
 From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups. 1489-1520
- David J. Platt  : :
 Computing π(x) analytically. 1521-1535
Volume 84, Number 294, 2015
- Omar Lakkis  , Charalambos G. Makridakis, Tristan Pryer , Charalambos G. Makridakis, Tristan Pryer : :
 A comparison of duality and energy a posteriori estimates for L∞(0, T;L2(Ω)) in parabolic problems. 1537-1569
- D. C. Antonopoulou, Georgia D. Karali, Michael Plexousakis, Georgios E. Zouraris: 
 Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain. 1571-1598
- Virginie Bonnaillie-Noël, Marc Dambrine  , Frédéric Hérau , Frédéric Hérau , Grégory Vial: , Grégory Vial:
 Artificial conditions for the linear elasticity equations. 1599-1632
- Liviu I. Ignat, Alejandro Pozo, Enrique Zuazua  : :
 Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. 1633-1662
- Benjamin Boutin  , Frédéric Coquel, Philippe G. LeFloch , Frédéric Coquel, Philippe G. LeFloch : :
 Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws. 1663-1702
- WenYi Tian, Han Zhou  , Weihua Deng: , Weihua Deng:
 A class of second order difference approximations for solving space fractional diffusion equations. 1703-1727
- Yu-Min Chung, Michael S. Jolly: 
 A unified approach to compute foliations, inertial manifolds, and tracking solutions. 1729-1751
- Daniela Calvetti, Erkki Somersalo, Ruben D. Spies  : :
 Variable order smoothness priors for ill-posed inverse problems. 1753-1773
- Ming-Jun Lai  , Yang Liu: , Yang Liu:
 The probabilistic estimates on the largest and smallest q-singular values of random matrices. 1775-1794
- Tom H. Koornwinder  , Stefan A. Sauter: , Stefan A. Sauter:
 The intersection of bivariate orthogonal polynomials on triangle patches. 1795-1812
- Jurgen A. Doornik: 
 Numerical evaluation of the Gauss hypergeometric function by power summations. 1813-1833
- Can Evren Yarman, Garret M. Flagg: 
 Generalization of Padé approximation from rational functions to arbitrary analytic functions - Theory. 1835-1860
- Amir Akbary, Keilan Scholten: 
 Artin prime producing polynomials. 1861-1882
- Wai Kiu Chan, María Inés Icaza, Emilio A. Lauret: 
 A generalized Hermite constant for imaginary quadratic fields. 1883-1900
- Amir Akbary, Kyle Hambrook: 
 A variant of the Bombieri-Vinogradov theorem with explicit constants and applications. 1901-1932
- Henri Cohen: 
 Exact counting of Dℓ number fields with given quadratic resolvent. 1933-1951
- Romain Cosset, Damien Robert: 
 Computing (ℓ, ℓ)-isogenies in polynomial time on Jacobians of genus 2 curves. 1953-1975
- Gaetan Bisson  : :
 Computing endomorphism rings of abelian varieties of dimension two. 1977-1989
- Sonia Pérez-Díaz  , J. Rafael Sendra , J. Rafael Sendra , Carlos Villarino: , Carlos Villarino:
 Computing the singularities of rational surfaces. 1991-2021
- Julia Pieltant, Hugues Randriam: 
 New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields. 2023-2045
- Darcy G. Best, Timothy S. Trudgian: 
 Linear relations of zeroes of the zeta-function. 2047-2058
Volume 84, Number 295, 2015
- Michael Neilan  : :
 Discrete and conforming smooth de Rham complexes in three dimensions. 2059-2081
- Andrea Bonito, Joseph E. Pasciak: 
 Numerical approximation of fractional powers of elliptic operators. 2083-2110
- Carsten Carstensen, Georg Dolzmann: 
 Convergence of adaptive finite element methods for a nonconvex double-well minimization problem. 2111-2135
- Andrea Bonito, Denis Devaud  : :
 Adaptive finite element methods for the Stokes problem with discontinuous viscosity. 2137-2162
- Emmanuil H. Georgoulis, Juha M. Virtanen: 
 Adaptive discontinuous Galerkin approximations to fourth order parabolic problems. 2163-2190
- James H. Adler  , Victor Nistor: , Victor Nistor:
 Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D. 2191-2220
- Florent Berthelin, Thierry Goudon, Sébastian Minjeaud: 
 Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis. 2221-2262
- Hailiang Liu: 
 Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations. 2263-2295
- Gersende Fort  , Benjamin Jourdain, Estelle Kuhn, Tony Lelièvre , Benjamin Jourdain, Estelle Kuhn, Tony Lelièvre , Gabriel Stoltz: , Gabriel Stoltz:
 Convergence of the Wang-Landau algorithm. 2297-2327
- Dmitry Batenkov: 
 Complete algebraic reconstruction of piecewise-smooth functions from Fourier data. 2329-2350
- Richard P. Brent  , Fredrik Johansson: , Fredrik Johansson:
 A bound for the error term in the Brent-McMillan algorithm. 2351-2359
- Aurel Page: 
 Computing arithmetic Kleinian groups. 2361-2390
- Youness Lamzouri, Xiannan Li, Kannan Soundararajan: 
 Conditional bounds for the least quadratic non-residue and related problems. 2391-2412
- Jan Büthe: 
 A method for proving the completeness of a list of zeros of certain L-functions. 2413-2431
- Yannick Saouter  , Timothy S. Trudgian, Patrick Demichel: , Timothy S. Trudgian, Patrick Demichel:
 A still sharper region where π(x)-li(x) is positive. 2433-2446
- Shi Bai, Richard P. Brent  , Emmanuel Thomé , Emmanuel Thomé : :
 Root optimization of polynomials in the number field sieve. 2447-2457
- John C. Miller: 
 Real cyclotomic fields of prime conductor and their class numbers. 2459-2469
- Paul D. Nelson: 
 Evaluating modular forms on Shimura curves. 2471-2503
- Henri Darmon, Michael Daub, Sam Lichtenstein, Victor Rotger: 
 Algorithms for Chow-Heegner points via iterated integrals. 2505-2547
- Pace P. Nielsen: 
 Odd perfect numbers, Diophantine equations, and upper bounds. 2549-2567
Volume 84, Number 296, 2015
- Sören Bartels  , Ricardo H. Nochetto, Abner J. Salgado , Ricardo H. Nochetto, Abner J. Salgado : :
 A total variation diminishing interpolation operator and applications. 2569-2587
- Ralf Hiptmair  , Carlos Jerez-Hanckes , Carlos Jerez-Hanckes , Shipeng Mao: , Shipeng Mao:
 Extension by zero in discrete trace spaces: Inverse estimates. 2589-2615
- Klaus Deckelnick, Jakob Katz, Friedhelm Schieweck: 
 A C1-finite element method for the Willmore flow of two-dimensional graphs. 2617-2643
- Yifeng Xu  , Jun Zou: , Jun Zou:
 Convergence of an adaptive finite element method for distributed flux reconstruction. 2645-2663
- Bangti Jin, Raytcho D. Lazarov  , Joseph E. Pasciak, William Rundell: , Joseph E. Pasciak, William Rundell:
 Variational formulation of problems involving fractional order differential operators. 2665-2700
- Xiaozhe Hu, Xiaoliang Cheng: 
 Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems". 2701-2704
- Franck Boyer, Stella Krell, Flore Nabet  : :
 Inf-Sup stability of the discrete duality finite volume method for the 2D Stokes problem. 2705-2742
- Sigal Gottlieb, Zachary Grant  , Daniel Higgs: , Daniel Higgs:
 Optimal explicit strong stability preserving Runge-Kutta methods with high linear order and optimal nonlinear order. 2743-2761
- Luca Dieci, Alessandro Pugliese: 
 Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method. 2763-2790
- Farzin Barekat, Stanley J. Osher: 
 A time continuation based fast approximate algorithm for compressed sensing related optimization. 2791-2822
- Lok Ming Lui  , Xianfeng Gu , Xianfeng Gu , Shing-Tung Yau: , Shing-Tung Yau:
 Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization. 2823-2842
- Sotirios E. Notaris: 
 The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions. 2843-2865
- John R. Doyle  , David Krumm , David Krumm : :
 Computing algebraic numbers of bounded height. 2867-2891
- Nathan McNew  : :
 On sets of integers which contain no three terms in geometric progression. 2893-2910
- Alexey Kuznetsov  : :
 Computing the truncated theta function via Mordell integral. 2911-2926
- Valérie Flammang, Georges Rhin: 
 On the absolute Mahler measure of polynomials having all zeros in a sector. III. 2927-2938
- Verónica Becher  , Pablo Ariel Heiber, Theodore A. Slaman: , Pablo Ariel Heiber, Theodore A. Slaman:
 A computable absolutely normal Liouville number. 2939-2952
- Zubeyir Cinkir: 
 Computation of polarized metrized graph invariants by using discrete Laplacian matrix. 2953-2967
- Jean Bourgain, Sergei V. Konyagin, Igor E. Shparlinski  : :
 Character sums and deterministic polynomial root finding in finite fields. 2969-2977
- Stephen D. Cohen, Tomás Oliveira e Silva, Timothy S. Trudgian: 
 A proof of the conjecture of Cohen and Mullen on sums of primitive roots. 2979-2986
- Razvan Barbulescu: 
 Selecting polynomials for the Function Field Sieve. 2987-3012
- Janko Böhm  , Wolfram Decker, Claus Fieker, Gerhard Pfister: , Wolfram Decker, Claus Fieker, Gerhard Pfister:
 The use of bad primes in rational reconstruction. 3013-3027
- Meinolf Geck, Abbie Halls: 
 On the Kazhdan-Lusztig cells in type E8. 3029-3049
- Petteri Kaski, Patric R. J. Östergård, Alexandru Popa  : :
 Enumeration of Steiner triple systems with subsystems. 3051-3067
- Eric Bach, Andrew Shallue: 
 Counting composites with two strong liars. 3069-3089

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