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Mathematics of Computation, Volume 79
Volume 79, Number 269, 2010
- Gang Bao, Peijun Li, Haijun Wu:
An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures. 1-34 - Ziqing Xie, Zhimin Zhang:
Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D. 35-45 - Christine Bernardi, Monique Dauge, Yvon Maday:
The lifting of polynomial traces revisited. 47-69 - Giuseppe Maria Coclite
, Siddhartha Mishra, Nils Henrik Risebro:
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. 71-94 - Jérôme Droniou:
A numerical method for fractal conservation laws. 95-124 - Aurélien Monteillet:
Convergence of approximation schemes for nonlocal front propagation equations. 125-146 - Yanping Chen
, Tao Tang
:
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. 147-167 - Christopher W. Curtis, Bernard Deconinck:
On the convergence of Hill's method. 169-187 - Jonas Haehnle, Andreas Prohl:
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. 189-208 - Aurélien Alfonsi
:
High order discretization schemes for the CIR process: Application to affine term structure and Heston models. 209-237 - N. S. Hoang, Alexander G. Ramm:
Dynamical systems method for solving nonlinear equations with monotone operators. 239-258 - Xiaoming Wang
:
Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization. 259-280 - Othmar Koch
, Roswitha März, Dirk Praetorius
, Ewa Weinmüller:
Collocation methods for index 1 DAEs with a singularity of the first kind. 281-304 - Gasper Jaklic, Jernej Kozak, Marjeta Krajnc
, Vito Vitrih, Emil Zagar:
On interpolation by Planar cubic G2 pythagorean-hodograph spline curves. 305-326 - Giuseppe Mastroianni
, I. Notarangelo
:
A Lagrange-type projector on the real line. 327-352 - Heping Wang, Sofiya Ostrovska:
The norm estimates for the q-Bernstein operator in the case q>1. 353-363 - Guillermo López Lagomasino, Domingo Pestana, José M. Rodríguez, Dmitry Yakubovich
:
Computation of conformal representations of compact Riemann surfaces. 365-381 - Giedrius Alkauskas
:
The Minkowski question mark function: explicit series for the dyadic period function and moments. 383-418 - Ren-Cang Li
:
Sharpness in rates of convergence for the symmetric Lanczos method. 419-435 - Dario Andrea Bini, Beatrice Meini
, Federico Poloni:
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. 437-452 - Benjamin A. Burton
:
Optimizing the double description method for normal surface enumeration. 453-484 - Keith R. Matthews
, John P. Robertson, Jim White:
Midpoint criteria for solving Pell's equation using the nearest square continued fraction. 485-499 - Alina Ostafe
, Igor E. Shparlinski
:
On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators. 501-511 - Bartosz Zralek
:
A deterministic version of Pollard's p-1 algorithm. 513-533 - Nicolas Billerey, Luis V. Dieulefait:
Solving Fermat-type equations x5+y5=dzp. 535-544 - Karl Rubin, Alice Silverberg:
Choosing the correct elliptic curve in the CM method. 545-561 - Patrick Corn:
Tate-Shafarevich groups and K3 surfaces. 563-581 - Oliver Schirokauer:
The number field sieve for integers of low weight. 583-602 - Andrew Bremner, Jean-Joël Delorme:
On equal sums of ninth powers. 603-612 - Ernst Hairer:
Numerical methods for evolutionary differential equations. 613-614 - Ivan P. Gavrilyuk:
Introduction to interval analysis. 615-616 - Ivan P. Gavrilyuk:
Lagrange multiplier approach to variational problems and applications. 617-618
Volume 79, Number 270, 2010
- J. Connors, William J. Layton:
On the accuracy of the finite element method plus time relaxation. 619-648 - Robert 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. 649-675 - Peter K. Moore, Marina Rangelova:
A posteriori error estimation for hp-adaptivity for fourth-order equations. 677-705 - Mo Mu, Xiaohong Zhu:
Decoupled schemes for a non-stationary mixed Stokes-Darcy model. 707-731 - Howard C. Elman, Darran G. Furnival, Catherine E. Powell:
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data. 733-760 - Andrew J. Christlieb, Benjamin W. Ong
, Jing-Mei Qiu:
Integral deferred correction methods constructed with high order Runge-Kutta integrators. 761-783 - Etienne Emmrich, Mechthild Thalhammer:
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. 785-806 - Li-lian Wang:
Analysis of spectral approximations using prolate spheroidal wave functions. 807-827 - Shuhuang Xiang
, Haiyong Wang
:
Fast integration of highly oscillatory integrals with exotic oscillators. 829-844 - Doron S. Lubinsky, Avraham Sidi:
Positive interpolatory quadrature rules generated by some biorthogonal polynomials. 845-855 - Hartmut Monien:
Gaussian quadrature for sums: A rapidly convergent summation scheme. 857-869 - Folkmar Bornemann
:
On the numerical evaluation of Fredholm determinants. 871-915 - Bin Han:
The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets. 917-951 - Frances Y. Kuo
, Ian H. Sloan
, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
On decompositions of multivariate functions. 953-966 - Stefano Capparelli
, Alberto Del Fra, Carlo Sciò:
On the span of polynomials with integer coefficients. 967-981 - Grzegorz W. Wasilkowski, Henryk Wozniakowski:
On the exponent of discrepancies. 983-992 - Josef Dick
, Peter Kritzer
:
Duality theory and propagation rules for generalized digital nets. 993-1017 - Ibrahim Kirat
:
Disk-like tiles and self-affine curves with noncollinear digits. 1019-1045 - Chang Heon Kim, Ja Kyung Koo:
Generators of function fields of the modular curves X1(5) and X1(6). 1047-1066 - Tomás Recio
, J. Rafael Sendra, Luis Felipe Tabera
, Carlos Villarino
:
Generalizing circles over algebraic extensions. 1067-1089 - Carlos Rito
:
On equations of double planes with pg=q=1. 1091-1108 - Qi Cheng
, Xianmeng Meng, Celi Sun, Jiazhe Chen:
Bounding the sum of square roots via lattice reduction. 1109-1122 - Byeong Moon Kim, Ji Young Kim
, Poo-Sung Park:
The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields. 1123-1144 - Luis Dieulefait, Lucio Guerberoff
, Ariel Pacetti
:
Proving modularity for a given elliptic curve over an imaginary quadratic field. 1145-1170 - Siguna Müller:
On the existence and non-existence of elliptic pseudoprimes. 1171-1190 - Romain Cosset:
Factorization with genus 2 curves. 1191-1208 - Jaap Korevaar, Herman te Riele:
Average prime-pair counting formula. 1209-1229 - Gregor Kemper:
A computational introduction to number theory and algebra. 1231-1232
Volume 79, Number 271, 2010
- Alan Demlow, Charalambos G. Makridakis:
Sharply local pointwise a posteriori error estimates for parabolic problems. 1233-1262 - Sören Bartels:
Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. 1263-1301 - Daniele A. Di Pietro
, Alexandre Ern:
Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. 1303-1330 - Bernardo Cockburn
, Jayadeep Gopalakrishnan, Johnny Guzmán:
A new elasticity element made for enforcing weak stress symmetry. 1331-1349 - Bernardo Cockburn
, Jayadeep Gopalakrishnan, Francisco-Javier Sayas:
A projection-based error analysis of HDG methods. 1351-1367 - Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas:
A direct coupling of local discontinuous Galerkin and boundary element methods. 1369-1394 - Olivier Bokanowski, Nicolas Forcadel
, Hasnaa Zidani
:
L1-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1. 1395-1426 - Manuel J. Castro
, Alberto Pardo, Carlos Parés
, Eleuterio F. Toro:
On some fast well-balanced first order solvers for nonconservative systems. 1427-1472 - Zhen-Huan Teng:
Error bound between monotone difference schemes and their modified equations. 1473-1491 - Frédéric Coquel, Quang Long Nguyen, Marie Postel, Quang-Huy Tran
:
Entropy-satisfying relaxation method with large time-steps for Euler IBVPs. 1493-1533 - A. Ghorbel, Régis Monneau:
Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics. 1535-1564 - Jan Bouwe van den Berg
, Jean-Philippe Lessard, Konstantin Mischaikow:
Global smooth solution curves using rigorous branch following. 1565-1584 - Veerle Ledoux, Simon J. A. Malham
, Vera Thümmler:
Grassmannian spectral shooting. 1585-1619 - Huiyuan Li, Jie Shen
:
Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle. 1621-1646 - Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Jürgen Prestin
, Joseph D. Ward:
Lp Bernstein estimates and approximation by spherical basis functions. 1647-1679 - Avram Sidi:
Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences. 1681-1695 - Stamatis Koumandos
, Martin Lamprecht:
Some completely monotonic functions of positive order. 1697-1707 - Olivier Espinosa:
On the evaluation of Matsubara sums. 1709-1725 - Dmitrii Kouznetsov, Henryk Trappmann:
Portrait of the four regular super-exponentials to base sqrt(2). 1727-1756 - Habib Ammari, Elena Beretta
, Elisa Francini
, Hyeonbae Kang, Mikyoung Lim
:
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements. 1757-1777 - Pedro Berrizbeitia, Boris Iskra:
Gaussian Mersenne and Eisenstein Mersenne primes. 1779-1791 - Peter L. Montgomery, Sangil Nahm, Samuel S. Wagstaff Jr.:
The period of the Bell numbers modulo a prime. 1793-1800 - Vahid Dabbaghian, John D. Dixon:
Computing matrix representations. 1801-1810 - Avner Ash, Paul E. Gunnells
, Mark McConnell:
Cohomology of congruence subgroups of SL4(ℤ). III. 1811-1831 - Michael E. Zieve:
pk-torsion of genus two curves over 𝔽pm. 1833-1838 - David H. Bailey, Jonathan M. Borwein
, Richard E. Crandall:
Advances in the theory of box integrals. 1839-1866 - John L. Nazareth:
Introduction to derivative-free optimization. 1867-1869
Volume 79, Number 272, 2010
- Jens Markus Melenk, Stefan A. Sauter:
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. 1871-1914 - C.-C. Chu, Ivan G. Graham
, T.-Y. Hou:
A new multiscale finite element method for high-contrast elliptic interface problems. 1915-1955 - Lubomír Bañas, Andreas Prohl:
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. 1957-1999 - Martin Vohralík
:
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods. 2001-2032 - Dylan M. Copeland, Jayadeep Gopalakrishnan
, Minah Oh
:
Multigrid in a weighted space arising from axisymmetric electromagnetics. 2033-2058 - Qiya Hu, Shi Shu, Junxian Wang:
Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems. 2059-2078 - James H. Bramble, Joseph E. Pasciak, Dimitar Trenev:
Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. 2079-2101 - José L. López, Ester Pérez Sinusía:
Two-point Taylor expansions and one-dimensional boundary value problems. 2103-2115 - Benjamin Stamm
, Thomas P. Wihler:
hp-Optimal discontinuous Galerkin methods for linear elliptic problems. 2117-2133 - Konstantinos Chrysafinos, Noel Walkington:
Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations. 2135-2167 - Thirupathi Gudi
:
A new error analysis for discontinuous finite element methods for linear elliptic problems. 2169-2189 - Qinian Jin
:
On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems. 2191-2211 - Xianjin Chen, Jianxin Zhou:
A local min-max-orthogonal method for finding multiple solutions to noncooperative elliptic systems. 2213-2236 - Ben-yu Guo, Hong-Li Jia:
Spectral method on quadrilaterals. 2237-2264 - George Kvernadze:
Approximation of the discontinuities of a function by its classical orthogonal polynomial Fourier coefficients. 2265-2285 - Abey López García
, Edward B. Saff:
Asymptotics of greedy energy points. 2287-2316 - Yingquan Wu:
More on solving systems of power equations. 2317-2332 - Terence Tao, Van H. Vu:
Smooth analysis of the condition number and the least singular value. 2333-2352 - Bartosz Zralek
:
Using partial smoothness of p-1 for factoring polynomials modulo p. 2353-2359 - David Harvey
:
A multimodular algorithm for computing Bernoulli numbers. 2361-2370 - Houria Baaziz:
Equations for the modular curve X1(N) and models of elliptic curves with torsion points. 2371-2386 - Qiang Wu:
The smallest Perron numbers. 2387-2394 - Yannick Saouter
, Patrick Demichel:
A sharp region where π(x)-li(x) is positive. 2395-2405 - Volker Ziegler:
On a family of Thue equations of degree 16. 2407-2429 - Thotsaphon Thongjunthug
:
Computing a lower bound for the canonical height on elliptic curves over number fields. 2431-2449 - Graeme L. Cohen, Ronald M. Sorli:
Odd harmonic numbers exceed 1024. 2451-2460
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