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Advances in Computational Mathematics, Volume 45
Volume 45, Number 1, February 2019
- Odysseas Kosmas

, Sigrid Leyendecker:
Variational integrators for orbital problems using frequency estimation. 1-21 - Philip Greengard

, Vladimir Rokhlin:
An algorithm for the evaluation of the incomplete gamma function. 23-49 - Xin Liu, Zhangxin Chen

:
The nonconforming virtual element method for the Navier-Stokes equations. 51-74 - Lucia Romani

, Francesca Montagner:
Algebraic-Trigonometric Pythagorean-Hodograph space curves. 75-98 - Mariano Franco-de-Leon

, John S. Lowengrub:
Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation. 99-135 - Shinya Miyajima

:
Verified computation of the matrix exponential. 137-152 - Cédric Gérot

:
Elementary factorisation of Box spline subdivision. 153-171 - James Bremer:

An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. 173-211 - Jichun Li

, Meng Chen, Min Chen:
Developing and analyzing fourth-order difference methods for the metamaterial Maxwell's equations. 213-241 - William Paulsen

:
Tetration for complex bases. 243-267 - Xudong Yao:

A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems: part I. Algorithm and global convergence. 269-310 - Hakop A. Hakopian

, Vahagn Vardanyan:
On a correction of a property of GC n sets. 311-325 - Radu Ioan Bot, Ernö Robert Csetnek

:
ADMM for monotone operators: convergence analysis and rates. 327-359 - Scott Congreve

, Paul Houston, Ilaria Perugia
:
Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. 361-393 - Maolin Che, Yimin Wei

:
Randomized algorithms for the approximations of Tucker and the tensor train decompositions. 395-428 - Yuanyuan Zhang, Min Yang, Chuanjun Chen:

The hybrid Wilson finite volume method for elliptic problems on quadrilateral meshes. 429-452 - Burak Aksoylu

, Fatih Celiker
, Orsan Kilicer:
Nonlocal operators with local boundary conditions in higher dimensions. 453-492 - Burak Aksoylu

, Fatih Celiker
, Orsan Kilicer:
Correction to: Nonlocal operators with local boundary conditions in higher dimensions. 493
Volume 45, Number 2, April 2019
- Roland Herzog

, John W. Pearson, Martin Stoll
:
Fast iterative solvers for an optimal transport problem. 495-517 - Sina Bittens

, Ruochuan Zhang, Mark A. Iwen:
A deterministic sparse FFT for functions with structured Fourier sparsity. 519-561 - Yaru Fan, Alessandro Buccini

, Marco Donatelli, Ting-Zhu Huang:
A non-convex regularization approach for compressive sensing. 563-588 - Chao Zeng, Chunlin Wu:

On the discontinuity of images recovered by noncovex nonsmooth regularized isotropic models with box constraints. 589-610 - Chuanjun Chen, Kang Li, Yanping Chen

, Yunqing Huang
:
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. 611-630 - Marek Rydel

:
New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian. 631-653 - Jesús M. Carnicer

, Carmen Godés:
Extensions of planar GC sets and syzygy matrices. 655-673 - Thomas Fink

:
Higher order analysis of the geometry of singularities using the Taylorlet transform. 675-705 - Can Huang, Li-Lian Wang:

An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. 707-734 - Andrey Belonosov, Maxim A. Shishlenin

, Dmitriy Klyuchinskiy:
A comparative analysis of numerical methods of solving the continuation problem for 1D parabolic equation with the data given on the part of the boundary. 735-755 - Zhaonan Dong

:
On the exponent of exponential convergence of p-version FEM spaces. 757-785 - Xiao Wang, Wenpeng Shang, Xiaofan Li

, Jinqiao Duan
, Yanghong Huang
:
Fokker-Planck equation driven by asymmetric Lévy motion. 787-811 - Xiao Tang, Aiguo Xiao:

Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. 813-846 - Jun Wang, Leslie Greengard

:
Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions. 847-867 - Parag Bobade

, Suprotim Majumdar, Savio Pereira, Andrew J. Kurdila
, John B. Ferris:
Adaptive estimation for nonlinear systems using reproducing kernel Hilbert spaces. 869-896 - Hui Liang

, Martin Stynes
:
Collocation methods for general Riemann-Liouville two-point boundary value problems. 897-928 - Xianyi Zeng

:
Linear hybrid-variable methods for advection equations. 929-980 - Daniele C. R. Gomes

, Mauro A. Rincon
, Maria Darci G. da Silva, Gladson O. Antunes
:
Theoretical and computational analysis of a nonlinear Schrödinger problem with moving boundary. 981-1004 - Mariam Al-Maskari

, Samir Karaa:
Galerkin FEM for a time-fractional Oldroyd-B fluid problem. 1005-1029 - Nikolaos Rekatsinas

, Rob Stevenson
:
An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems. 1031-1066 - Martin Ambroz

, Martin Balazovjech, Matej Medl'a, Karol Mikula
:
Numerical modeling of wildland surface fire propagation by evolving surface curves. 1067-1103 - Xiangyun Meng

, Martin Stynes
:
Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions. 1105-1128
Volume 45, Number 3, June 2019
- Qiya Hu, Shaoliang Hu:

A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions. 1129-1161 - Xuanxuan Zhou

, Tingchun Wang, Luming Zhang:
Two numerical methods for the Zakharov-Rubenchik equations. 1163-1184 - Francesco Mezzadri

, Emanuele Galligani:
A nonlinearity lagging method for non-steady diffusion equations with nonlinear convection terms. 1185-1220 - Alessandro Alla

, Michael Hinze, Philip Kolvenbach, Oliver Lass, Stefan Ulbrich
:
A certified model reduction approach for robust parameter optimization with PDE constraints. 1221-1250 - Alessandro Alla

, J. Nathan Kutz:
Randomized model order reduction. 1251-1271 - Li Cheng

, Xinlong Zhou:
A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks. 1273-1290 - Wee Chin Tan, Viet Ha Hoang:

High dimensional finite elements for time-space multiscale parabolic equations. 1291-1327 - Gino Hrkac

, Carl-Martin Pfeiler, Dirk Praetorius
, Michele Ruggeri
, Antonio Segatti, Bernhard Stiftner:
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. 1329-1368 - Zhifang Liu, Chunlin Wu

, Yanan Zhao:
A new globally convergent algorithm for non-Lipschitz ℓ p -ℓ q minimization. 1369-1399 - Cédric Josz, Jean-Bernard Lasserre

, Bernard Mourrain:
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? 1401-1437 - Jean B. Lasserre

, Edouard Pauwels
:
The empirical Christoffel function with applications in data analysis. 1439-1468 - Ansgar Jüngel

, Oliver Leingang:
Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems. 1469-1498 - Ivan T. Dimov

, Sylvain Maire:
A new unbiased stochastic algorithm for solving linear Fredholm equations of the second kind. 1499-1519 - Fang Li

, Michael K. Ng:
Image colorization by using graph bi-Laplacian. 1521-1549 - Qi Li

, Liquan Mei, Xiaofeng Yang
, Yibao Li
:
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. 1551-1580 - Philipp Petersen

, Mones Raslan
:
Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces. 1581-1606 - Rida T. Farouki, Graziano Gentili

, Hwan Pyo Moon, Caterina Stoppato
:
Minkowski products of unit quaternion sets. 1607-1629 - Wansheng Wang

:
Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay. 1631-1655 - Ran Zhang

, Gerlind Plonka
:
Optimal approximation with exponential sums by a maximum likelihood modification of Prony's method. 1657-1687 - Svenja Hüning, Johannes Wallner:

Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature. 1689-1709 - Jakob Geppert, Felix Krahmer, Dominik Stöger

:
Sparse power factorization: balancing peakiness and sample complexity. 1711-1728 - L. J. Gray, Jas Jakowski, M. Nicholas J. Moore

, Wenjing Ye:
Boundary integral analysis for non-homogeneous, incompressible Stokes flows. 1729-1734 - Maryam Yashtini, Sung Ha Kang, Wei Zhu:

Efficient alternating minimization methods for variational edge-weighted colorization models. 1735-1767
Volume 45, Number 4, August 2019
- Raúl M. Falcón

, Víctor Álvarez, Félix Gudiel:
A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares. 1769-1792 - Aleksandra Swietlicka

:
Regularization theory in the study of generalization ability of a biological neural network model. 1793-1805 - Tomasz Talaska

:
Parallel, asynchronous, fuzzy logic systems realized in CMOS technology. 1807-1823 - José Luis Galán García

, Gabriel Aguilera Venegas, María Ángeles Galán García
, Pedro Rodríguez Cielos, Iván Atencia-McKillop, Yolanda Padilla-Domínguez:
Enhancing Cas improper integrals computations using extensions of the residue theorem. 1825-1841 - José Roberto Cantú-González

, Orlando Díaz Hernández
, Elizeth Ramírez-Álvarez, C. I. Enríquez Flores, A. Flores Rosas, Gerardo J. Escalera Santos
:
A computational study of the gene expression in the tryptophan operon with two types of cooperativity. 1843-1851 - Petr Knobloch

, Petr Lukás
, Pavel Solín:
On error indicators for optimizing parameters in stabilized methods. 1853-1862 - Iván Atencia-McKillop, José Luis Galán García

, Gabriel Aguilera Venegas, Pedro Rodríguez Cielos, María Ángeles Galán García
:
An arriving decision problem in a discrete-time queueing system. 1863-1879 - Eugenio Roanes-Lozano, José Luis Galán García

, Gabriel Aguilera Venegas
:
A prototype of a functional approach to personalized menus generation using set operations. 1881-1895 - Robert Cimrman, Vladimír Lukes

, Eduard Rohan
:
Multiscale finite element calculations in Python using SfePy. 1897-1921 - Sinem Arslan

, Münevver Tezer-Sezgin
:
Exact and FDM solutions of 1D MHD flow between parallel electrically conducting and slipping plates. 1923-1938 - Jirí Fürst, Zdenek Zák:

Numerical simulation of unsteady flows through a radial turbine. 1939-1952 - Jan Nikl

, Milan Kucharik, Jirí Limpouch
, Richard Liska
, Stefan Weber:
Wave-based laser absorption method for high-order transport-hydrodynamic codes. 1953-1976 - Jirí Holman

, Jirí Fürst:
Coupling the algebraic model of bypass transition with EARSM model of turbulence. 1977-1992 - Eva Bezchlebová, Vít Dolejsí

, Miloslav Feistauer, Petr Svácek:
Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods. 1993-2018 - Mario A. Aguirre-López

, F.-Javier Almaguer
, Orlando Díaz Hernández
, Gerardo J. Escalera Santos
, Javier Morales-Castillo
:
On continuous inkjet systems: a printer driver for expiry date labels on cylindrical surfaces. 2019-2028 - Georgios Diamantopoulos

, Andreas Hössinger, Siegfried Selberherr
, Josef Weinbub
:
A shared memory parallel multi-mesh fast marching method for re-distancing. 2029-2045 - Radka Keslerová

, Hynek Reznícek, Tomás Padelek:
Numerical modelling of generalized Newtonian fluids in bypass tube. 2047-2063 - Petr Svácek

:
On implementation aspects of finite element method and its application. 2065-2081 - C. Destenave Rodriguez

, Javier Morales-Castillo, José Roberto Cantú-González
, F.-Javier Almaguer
, J. M. Martinez:
Mathematical analysis to optimize crystal growth. 2083-2096 - Mario A. Aguirre-López

, Orlando Díaz Hernández
, Filiberto Hueyotl-Zahuantitla
, Javier Morales-Castillo
, F.-Javier Almaguer
, Gerardo J. Escalera Santos
:
A cardioid-parametric model for the Magnus effect in baseballs. 2097-2109 - Gabriel Aguilera Venegas, José Luis Galán García

, Rocío Egea-Guerrero, María Ángeles Galán García
, Pedro Rodríguez Cielos, Yolanda Padilla-Domínguez, María Galán-Luque:
A probabilistic extension to Conway's Game of Life. 2111-2121 - Neta Rabin

, Dalia Fishelov
:
Two directional Laplacian pyramids with application to data imputation. 2123-2146 - Vladimír Hric, Jan Halama

:
On the numerical solution of non-equilibrium condensation of steam in nozzles. 2147-2162 - Jaroslav Fort, Jan Karel, David Trdlicka, Fayssal Benkhaldoun

, Imad Kissami
, Jean-Baptiste Montavon, Khaled Hassouni, J. Zs. Mezei:
Finite volume methods for numerical simulation of the discharge motion described by different physical models. 2163-2189
Volume 45, Number 5, December 2019
- Stefan Hain, Mario Ohlberger

, Mladjan Radic, Karsten Urban
:
A hierarchical a posteriori error estimator for the Reduced Basis Method. 2191-2214 - Christoph Lehrenfeld

, Stephan Rave
:
Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem. 2215-2239 - Peter Benner

, Xingang Cao
, Wil H. A. Schilders:
A bilinear ℋ2 model order reduction approach to linear parameter-varying systems. 2241-2271 - Benjamin Unger

, Serkan Gugercin
:
Kolmogorov n-widths for linear dynamical systems. 2273-2286 - Masayuki Yano

:
Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws. 2287-2320 - Benjamin Peherstorfer, Youssef M. Marzouk

:
A transport-based multifidelity preconditioner for Markov chain Monte Carlo. 2321-2348 - Giovanni Stabile

, Francesco Ballarin
, Giacomo Zuccarino, Gianluigi Rozza:
A reduced order variational multiscale approach for turbulent flows. 2349-2368 - Nicole Aretz-Nellesen

, Martin A. Grepl
, Karen Veroy:
3D-VAR for parameterized partial differential equations: a certified reduced basis approach. 2369-2400 - Carmen Gräßle

, Michael Hinze
, Jens Lang, Sebastian Ullmann:
POD model order reduction with space-adapted snapshots for incompressible flows. 2401-2428 - Tommaso Taddei

:
An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. 2429-2462 - Niccolò Dal Santo, Andrea Manzoni

:
Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. 2463-2501 - Martin Eigel, Reinhold Schneider, Philipp Trunschke

, Sebastian Wolf:
Variational Monte Carlo - bridging concepts of machine learning and high-dimensional partial differential equations. 2503-2532 - Peter Benner

, Christian Himpe
:
Cross-Gramian-based dominant subspaces. 2533-2553 - Hermann G. Matthies

, Roger Ohayon:
Analysis of parametric models. 2555-2586 - Birgul Koc

, Muhammad Mohebujjaman
, Changhong Mou
, Traian Iliescu
:
Commutation error in reduced order modeling of fluid flows. 2587-2621 - Liang Wang, Chunguang Xiong

, Huibin Wu, Fusheng Luo:
A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems. 2623-2646 - Hong Wang, Xiangcheng Zheng:

Analysis and numerical solution of a nonlinear variable-order fractional differential equation. 2647-2675 - Zhendong Gu

:
Spectral collocation method for system of weakly singular Volterra integral equations. 2677-2699 - Mai Duc Thanh

:
A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms. 2701-2719 - Hakop A. Hakopian

, Vahagn Vardanyan:
On the usage of lines in GCn sets. 2721-2743 - Zheng-Chu Guo, Lei Shi:

Fast and strong convergence of online learning algorithms. 2745-2770 - Masoud Ahookhosh

, Francisco J. Aragón Artacho
, Ronan M. T. Fleming
, Phan Tu Vuong:
Local convergence of the Levenberg-Marquardt method under Hölder metric subregularity. 2771-2806 - Lori Badea

:
On the convergence of a multigrid method for Moreau-regularized variational inequalities of the second kind. 2807-2832 - Yidan Zhang, Yunqing Huang

, Nianyu Yi
:
Superconvergence of the Crouzeix-Raviart element for elliptic equation. 2833-2844 - Corey Harris, Mateusz Michalek

, Emre Can Sertöz
:
Computing images of polynomial maps. 2845-2865 - Nicola Guglielmi, Carmela Scalone:

Computing the closest real normal matrix and normal completion. 2867-2891 - Michael Karkulik

, Jens Markus Melenk:
H-matrix approximability of inverses of discretizations of the fractional Laplacian. 2893-2919 - Bin Wang

, Xinyuan Wu:
Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations. 2921-2952 - Johannes Tausch

:
Nyström method for BEM of the heat equation with moving boundaries. 2953-2968 - Oleg Balabanov, Anthony Nouy:

Randomized linear algebra for model reduction. Part I: Galerkin methods and error estimation. 2969-3019 - Oliver Kunc

, Felix Fritzen
:
Generation of energy-minimizing point sets on spheres and their application in mesh-free interpolation and differentiation. 3021-3056 - Xianyi Zeng

, Mashriq Ahmed Saleh, Jianjun Paul Tian:
On finite volume discretization of infiltration dynamics in tumor growth models. 3057-3094 - Robert J. Kunsch

, Daniel Rudolf:
Optimal confidence for Monte Carlo integration of smooth functions. 3095-3122 - Feng Chen

, Jie Shen
:
Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. 3123-3136 - Rosa Donat, Sergio López-Ureña

:
Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions. 3137-3172 - Dongyang Shi

, Huaijun Yang:
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. 3173-3194 - Nicholas K.-R. Kevlahan

, Ramsha A. Khan
, Bartosz Protas:
On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. 3195-3216 - Wei Zhu

:
A first-order image denoising model for staircase reduction. 3217-3239 - Bernhard G. Bodmann, Demetrio Labate

, Basanta R. Pahari
:
Smooth projections and the construction of smooth Parseval frames of shearlets. 3241-3264 - Peipei Lu

, Haijun Wu, Xuejun Xu:
Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number. 3265-3291 - Farideh Ghoreishi

, Changiz Goli Keshavarzi:
Preconditioning RBF collocation method by adapted finite difference matrix. 3293-3325 - Johan de Villiers, Dinna Ranirina:

Shortest multi-wavelet matrix filters for refinable vector splines. 3327-3365

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