Journal: Math. Comput.

Volume 79, Issue 272

1871 -- 1914Jens Markus Melenk, S. Sauter. Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
1915 -- 1955C.-C. Chu, I. G. Graham, T.-Y. Hou. A new multiscale finite element method for high-contrast elliptic interface problems
1957 -- 1999Lubomír Bañas, Andreas Prohl. Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations
2001 -- 2032Martin Vohralík. Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
2033 -- 2058Dylan M. Copeland, Jayadeep Gopalakrishnan, Minah Oh. Multigrid in a weighted space arising from axisymmetric electromagnetics
2059 -- 2078Qiya Hu, Shi Shu, Junxian Wang. Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems
2079 -- 2101James H. Bramble, Joseph E. Pasciak, Dimitar Trenev. Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
2103 -- 2115José L. López, Ester Pérez Sinusía. Two-point Taylor expansions and one-dimensional boundary value problems
2117 -- 2133Benjamin Stamm, Thomas P. Wihler. ::::hp::::-Optimal discontinuous Galerkin methods for linear elliptic problems
2135 -- 2167Konstantinos Chrysafinos, Noel Walkington. Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations
2169 -- 2189Thirupathi Gudi. A new error analysis for discontinuous finite element methods for linear elliptic problems
2191 -- 2211Qinian Jin. On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
2213 -- 2236Xianjin Chen, Jianxin Zhou. A local min-max-orthogonal method for finding multiple solutions to noncooperative elliptic systems
2237 -- 2264Ben-yu Guo, Hong-Li Jia. Spectral method on quadrilaterals
2265 -- 2285George Kvernadze. Approximation of the discontinuities of a function by its classical orthogonal polynomial Fourier coefficients
2287 -- 2316A. López García, Edward B. Saff. Asymptotics of greedy energy points
2317 -- 2332Yingquan Wu. More on solving systems of power equations
2333 -- 2352Terence Tao, Van H. Vu. Smooth analysis of the condition number and the least singular value
2353 -- 2359Bartosz Zralek. p
2361 -- 2370David Harvey. A multimodular algorithm for computing Bernoulli numbers
2387 -- 2394Qiang Wu. The smallest Perron numbers
2395 -- 2405Yannick Saouter, Patrick Demichel. A sharp region where π(x)-li(x) is positive
2407 -- 2429Volker Ziegler. On a family of Thue equations of degree 16
2431 -- 2449Thotsaphon Thongjunthug. Computing a lower bound for the canonical height on elliptic curves over number fields
2451 -- 2460Graeme L. Cohen, Ronald M. Sorli. Odd harmonic numbers exceed 10:::24:::

Volume 79, Issue 271

1233 -- 1262Alan Demlow, Charalambos Makridakis. Sharply local pointwise a posteriori error estimates for parabolic problems
1263 -- 1301Sören Bartels. Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces
1303 -- 1330Daniele A. Di Pietro, Alexandre Ern. Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations
1331 -- 1349Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny Guzmán. A new elasticity element made for enforcing weak stress symmetry
1351 -- 1367Bernardo Cockburn, Jayadeep Gopalakrishnan, Francisco-Javier Sayas. A projection-based error analysis of HDG methods
1369 -- 1394Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas. A direct coupling of local discontinuous Galerkin and boundary element methods
1395 -- 1426Olivier Bokanowski, Nicolas Forcadel, Hasnaa Zidani. L:::1:::-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1
1427 -- 1472Manuel J. Castro, Alberto Pardo, Carlos Parés, E. F. Toro. On some fast well-balanced first order solvers for nonconservative systems
1493 -- 1533Frédéric Coquel, Quang Long Nguyen, Marie Postel, Quang-Huy Tran. Entropy-satisfying relaxation method with large time-steps for Euler IBVPs
1535 -- 1564A. Ghorbel, R. Monneau. Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics
1565 -- 1584Jan Bouwe van den Berg, Jean-Philippe Lessard, Konstantin Mischaikow. Global smooth solution curves using rigorous branch following
1585 -- 1619Veerle Ledoux, Simon J. A. Malham, Vera Thümmler. Grassmannian spectral shooting
1621 -- 1646Huiyuan Li, Jie Shen. Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle
1647 -- 1679Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin, Joseph D. Ward. L:::p::: Bernstein estimates and approximation by spherical basis functions
1681 -- 1695Avram Sidi. Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences
1697 -- 1707Stamatis Koumandos, Martin Lamprecht. Some completely monotonic functions of positive order
1709 -- 1725Olivier Espinosa. On the evaluation of Matsubara sums
1727 -- 1756Dmitrii Kouznetsov, Henryk Trappmann. Portrait of the four regular super-exponentials to base sqrt(2)
1757 -- 1777Habib Ammari, Elena Beretta, Elisa Francini, Hyeonbae Kang, Mikyoung Lim. Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements
1779 -- 1791Pedro Berrizbeitia, Boris Iskra. Gaussian Mersenne and Eisenstein Mersenne primes
1793 -- 1800Peter L. Montgomery, Sangil Nahm, Samuel S. Wagstaff Jr.. The period of the Bell numbers modulo a prime
1801 -- 1810Vahid Dabbaghian, John D. Dixon. Computing matrix representations
1811 -- 1831Avner Ash, Paul E. Gunnells, Mark McConnell. Cohomology of congruence subgroups of SL::4::(ℤ). III
1833 -- 1838Michael E. Zieve. p:::k:::-torsion of genus two curves over ::p:::m:::::
1839 -- 1866David H. Bailey, Jonathan M. Borwein, Richard E. Crandall. Advances in the theory of box integrals
1867 -- 1869J. L. Nazareth. Introduction to derivative-free optimization

Volume 79, Issue 270

619 -- 648J. Connors, W. Layton. On the accuracy of the finite element method plus time relaxation
649 -- 675Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché. A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case
677 -- 705Peter K. Moore, Marina Rangelova. hp-adaptivity for fourth-order equations
707 -- 731Mo Mu, Xiaohong Zhu. Decoupled schemes for a non-stationary mixed Stokes-Darcy model
733 -- 760Howard C. Elman, Darran G. Furnival, Catherine E. Powell. H(::::div::::) preconditioning for a mixed finite element formulation of the diffusion problem with random data
761 -- 783Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qiu. Integral deferred correction methods constructed with high order Runge-Kutta integrators
785 -- 806Etienne Emmrich, Mechthild Thalhammer. Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator
807 -- 827Li-lian Wang. Analysis of spectral approximations using prolate spheroidal wave functions
829 -- 844Shuhuang Xiang, Haiyong Wang. Fast integration of highly oscillatory integrals with exotic oscillators
845 -- 855Doron S. Lubinsky, A. Sidi. Positive interpolatory quadrature rules generated by some biorthogonal polynomials
857 -- 869Hartmut Monien. Gaussian quadrature for sums: A rapidly convergent summation scheme
871 -- 915Folkmar Bornemann. On the numerical evaluation of Fredholm determinants
917 -- 951Bin Han. The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets
953 -- 966Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski. On decompositions of multivariate functions
967 -- 981Stefano Capparelli, Alberto Del Fra, Carlo Sciò. On the span of polynomials with integer coefficients
983 -- 992Grzegorz W. Wasilkowski, Henryk Wozniakowski. On the exponent of discrepancies
993 -- 1017Josef Dick, Peter Kritzer. Duality theory and propagation rules for generalized digital nets
1019 -- 1045Ibrahim Kirat. Disk-like tiles and self-affine curves with noncollinear digits
1047 -- 1066Chang Heon Kim, Ja Kyung Koo. Generators of function fields of the modular curves X::1::(5) and X::1::(6)
1067 -- 1089Tomás Recio, J. Rafael Sendra, Luis Felipe Tabera, Carlos Villarino. Generalizing circles over algebraic extensions
1091 -- 1108Carlos Rito. g=q=1
1109 -- 1122Qi Cheng, Xianmeng Meng, Celi Sun, Jiazhe Chen. Bounding the sum of square roots via lattice reduction
1123 -- 1144Byeong Moon Kim, Ji-Young Kim, Poo-Sung Park. The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields
1145 -- 1170Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti. Proving modularity for a given elliptic curve over an imaginary quadratic field
1171 -- 1190Siguna Müller. On the existence and non-existence of elliptic pseudoprimes
1191 -- 1208Romain Cosset. Factorization with genus 2 curves
1209 -- 1229Jaap Korevaar, Herman te Riele. Average prime-pair counting formula
1231 -- 1232Gregor Kemper. A computational introduction to number theory and algebra

Volume 79, Issue 269

1 -- 34Gang Bao, Peijun Li, Haijun Wu. An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures
35 -- 45Ziqing Xie, Zhimin Zhang. Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D
47 -- 69Christine Bernardi, Monique Dauge, Yvon Maday. The lifting of polynomial traces revisited
71 -- 94Giuseppe Maria Coclite, Siddhartha Mishra, Nils Henrik Risebro. Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws
95 -- 124Jérôme Droniou. A numerical method for fractal conservation laws
147 -- 167Yanping Chen, Tao Tang. Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
169 -- 187Christopher W. Curtis, Bernard Deconinck. On the convergence of Hill s method
189 -- 208Jonas Haehnle, Andreas Prohl. Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
209 -- 237Aurélien Alfonsi. High order discretization schemes for the CIR process: Application to affine term structure and Heston models
239 -- 258N. S. Hoang, Alexander G. Ramm. Dynamical systems method for solving nonlinear equations with monotone operators
259 -- 280Xiaoming Wang. Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
281 -- 304Othmar Koch, Roswitha März, Dirk Praetorius, Ewa Weinmüller. Collocation methods for index 1 DAEs with a singularity of the first kind
305 -- 326Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito Vitrih, Emil Zagar. On interpolation by Planar cubic G:::2::: pythagorean-hodograph spline curves
327 -- 352Giuseppe Mastroianni, I. Notarangelo. A Lagrange-type projector on the real line
353 -- 363Heping Wang, Sofiya Ostrovska. The norm estimates for the ::::q::::-Bernstein operator in the case ::::q::::>1
365 -- 381Guillermo López Lagomasino, Domingo Pestana, José M. Rodríguez, Dmitry Yakubovich. Computation of conformal representations of compact Riemann surfaces
383 -- 418Giedrius Alkauskas. The Minkowski question mark function: explicit series for the dyadic period function and moments
419 -- 435Ren-Cang Li. Sharpness in rates of convergence for the symmetric Lanczos method
437 -- 452Dario Andrea Bini, Beatrice Meini, Federico Poloni. An effective matrix geometric mean satisfying the Ando-Li-Mathias properties
485 -- 499Keith R. Matthews, John P. Robertson, Jim White. Midpoint criteria for solving Pell s equation using the nearest square continued fraction
501 -- 511Alina Ostafe, Igor E. Shparlinski. On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators
513 -- 533Bartosz Zralek. A deterministic version of Pollard's p-1 algorithm
535 -- 544Nicolas Billerey, Luis V. Dieulefait. p
545 -- 561Karl Rubin, Alice Silverberg. Choosing the correct elliptic curve in the CM method
563 -- 581Patrick Corn. Tate-Shafarevich groups and K3 surfaces
583 -- 602Oliver Schirokauer. The number field sieve for integers of low weight
603 -- 612Andrew Bremner, Jean-Joël Delorme. On equal sums of ninth powers
613 -- 614Ernst Hairer. Numerical methods for evolutionary differential equations
615 -- 616Ivan P. Gavrilyuk. Introduction to interval analysis
617 -- 618Ivan P. Gavrilyuk. Lagrange multiplier approach to variational problems and applications