# zbMATH — the first resource for mathematics

### Modelling in Science and Engineering

 Short Title: Adv. Comput. Math. Publisher: Springer US, New York, NY ISSN: 1019-7168; 1572-9044/e Online: http://link.springer.com/journal/volumesAndIssues/10444 Comments: Indexed cover-to-cover
 Documents Indexed: 1,397 Publications (since 1993) References Indexed: 1,093 Publications with 30,987 References.
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#### Authors

 19 Xu, Yuesheng 16 Micchelli, Charles A. 14 Farouki, Rida T. 13 Peña, Juan Manuel 12 Schaback, Robert 11 Guo, Ben-Yu 10 Benner, Peter 10 Carnicer, Jésus Miguel 10 Floater, Michael S. 10 Schumaker, Larry L. 9 Christensen, Ole 9 Kim, Hong Oh 9 Temlyakov, Vladimir Nikolaevich 8 Chui, Charles Kam-tai 8 Goodman, Timothy N. T. 7 Chen, Zhangxin 7 Lin, Qun 7 Mhaskar, Hrushikesh N. 7 Sablonnière, Paul 7 Sauer, Thomas 7 Yan, Ningning 7 Zhou, Aihui 7 Zhou, Dingxuan 6 Casazza, Peter George 6 Chen, Yanping 6 Hinze, Michael 6 Hu, Qiya 6 Jiang, Qingtang 6 Kim, Rae Young 6 Manni, Carla 6 Mazure, Marie-Laurence 6 Sloan, Ian Hugh 6 Stynes, Martin 6 Sun, Qiyu 6 Wang, Lilian 6 Ward, Joseph Dinneen 6 Xu, Yuan 6 Zhang, Zhimin 5 Burrage, Kevin 5 Calvo, Manuel 5 Chen, Zhongying 5 Conti, Costanza 5 Costantini, Paolo Giuseppe 5 Cuyt, Annie A. M. 5 Dahlke, Stephan 5 Fasshauer, Gregory E. 5 Gasca, Mariano 5 Goh, Say Song 5 Grohs, Philipp 5 Gugercin, Serkan 5 Han, Bin 5 Huang, Yunqing 5 Jüttler, Bert 5 Le Gia, Quoc Thong 5 Leviatan, Dany 5 Lyche, Tom 5 Montijano, Juan Ignacio 5 Narcowich, Francis J. 5 Nataraj, Neela 5 Noakes, Lyle 5 Plonka, Gerlind 5 Pottmann, Helmut 5 Pyo Moon, Hwan 5 Romani, Lucia 5 Stephan, Ernst Peter 5 Urban, Karsten 5 Wang, Yang 5 Wendland, Holger 5 Wu, Zongmin 5 Ye, Xiu 4 Alla, Alessandro 4 Atkinson, Kendall Eugene 4 Bozzini, Mira 4 Chen, Chuanjun 4 Chien, David 4 Cotronei, Mariantonia 4 Deng, Weihua 4 Domínguez, Víctor 4 Feichtinger, Hans Georg 4 Fickus, Matthew C. 4 Giannelli, Carlotta 4 Greengard, Leslie F. 4 Guglielmi, Nicola 4 Guo, Zheng-Chu 4 Haasdonk, Bernard 4 Hakopian, Hakop A. 4 Hansen, Olaf 4 Hiptmair, Ralf 4 Hon, Yiu-Chung 4 Labate, Demetrio 4 Lai, Mingjun 4 Li, Jian 4 Liandrat, Jacques 4 Liu, Steve Wenbin 4 Maass, Peter 4 Maiorov, Vitaly Evgen’evich 4 Martinsson, Per-Gunnar 4 Massey, Pedro G. 4 Onchiş, Darian M. 4 O’Riordan, Eugene ...and 1,975 more Authors
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#### Fields

 1,027 Numerical analysis (65-XX) 356 Partial differential equations (35-XX) 295 Approximations and expansions (41-XX) 194 Harmonic analysis on Euclidean spaces (42-XX) 104 Fluid mechanics (76-XX) 79 Computer science (68-XX) 70 Information and communication theory, circuits (94-XX) 64 Ordinary differential equations (34-XX) 61 Integral equations (45-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 45 Optics, electromagnetic theory (78-XX) 44 Mechanics of deformable solids (74-XX) 38 Special functions (33-XX) 38 Operations research, mathematical programming (90-XX) 32 Functional analysis (46-XX) 31 Systems theory; control (93-XX) 30 Statistics (62-XX) 28 Operator theory (47-XX) 25 Functions of a complex variable (30-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Real functions (26-XX) 24 Probability theory and stochastic processes (60-XX) 23 Differential geometry (53-XX) 23 Biology and other natural sciences (92-XX) 14 General and overarching topics; collections (00-XX) 14 Potential theory (31-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Number theory (11-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Geophysics (86-XX) 11 Integral transforms, operational calculus (44-XX) 11 Convex and discrete geometry (52-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Combinatorics (05-XX) 9 Commutative algebra (13-XX) 9 Algebraic geometry (14-XX) 9 Geometry (51-XX) 9 Mechanics of particles and systems (70-XX) 8 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 (73-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

1,119 Publications have been cited 13,993 times in 10,687 Documents Cited by Year
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1996
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Zbl 0838.41014
Wendland, Holger
1995
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
1998
Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007
Schaback, Robert
1995
An algorithm for selecting a good value for the parameter $$c$$ in radial basis function interpolation. Zbl 0943.65017
Rippa, Shmuel
1999
Regularization networks and support vector machines. Zbl 0939.68098
Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso
2000
High dimensional polynomial interpolation on sparse grids. Zbl 0944.41001
Barthelmann, Volker; Novak, Erich; Ritter, Klaus
2000
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
1996
Compactly supported positive definite radial functions. Zbl 0837.41016
Wu, Zongmin
1995
Finite normalized tight frames. Zbl 1028.42022
Benedetto, John J.; Fickus, Matthew
2003
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
2003
Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088
Franke, Carsten; Schaback, Robert
1998
A posteriori error estimates for distributed convex optimal control problems. Zbl 1008.49024
Liu, Wenbin; Yan, Ningning
2001
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
1996
A splitting algorithm for dual monotone inclusions involving cocoercive operators. Zbl 1284.47045
Vũ, Băng Công
2013
Polynomial interpolation in several variables. Zbl 0943.41001
Gasca, Mariano; Sauer, Thomas
2000
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
2001
Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013
Carnicer, J. M.; Peña, J. M.
1993
Solving differential equations with radial basis functions: Multilevel methods and smoothing. Zbl 0940.65122
Fasshauer, Gregory E.
1999
Subdivision schemes in $$L_ p$$ spaces. Zbl 0833.65148
Jia, Rong-Qing
1995
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
2016
Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024
Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo
2002
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
1998
The best $$m$$-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
1998
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
2001
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
1993
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
2000
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
2004
Integration and approximation in arbitrary dimensions. Zbl 0939.41004
Hickernell, F. J.; Wozniakowski, H.
2000
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
2002
Pythagorean-hodograph space curves. Zbl 0829.65011
Farouki, Rida T.; Sakkalis, Takis
1994
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
2006
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
2003
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
2001
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
2014
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099
Griebel, M.; Oswald, P.
1995
Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Zbl 0940.65011
Beatson, R. K.; Cherrie, J. B.; Mouat, C. T.
1999
$$p$$-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
2003
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
2009
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
2011
A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123
Petzoldt, Martin
2002
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
2005
On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272
Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G.
2014
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
2001
Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.
1995
Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180
Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng
2012
Barycentric coordinates for convex polytopes. Zbl 0873.52013
Warren, Joe
1996
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
2005
Blossoms and optimal bases. Zbl 1042.65016
Mazure, Marie-Laurence
2004
The dual basis functions for the Bernstein polynomials. Zbl 0913.41004
Jüttler, Bert
1998
Quadratic spline quasi-interpolants on Powell-Sabin partitions. Zbl 1116.65008
Manni, Carla; Sablonnière, Paul
2007
Barycentric coordinates for convex sets. Zbl 1124.52010
Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu
2007
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
2006
Multiwavelet frames from refinable function vectors. Zbl 1059.42030
Han, Bin; Mo, Qun
2003
Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079
Sun, Qiyu
2010
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
1997
High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane. Zbl 1300.65093
Hao, S.; Barnett, A. H.; Martinsson, P. G.; Young, P.
2014
Construction of $$C^ 2$$ Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
1996
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
2007
A note on the optimal $$L^2$$-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
2002
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
1997
Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087
Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu
2003
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
2003
Stable phase retrieval with low-redundancy frames. Zbl 1316.42035
Bodmann, Bernhard G.; Hammen, Nathaniel
2015
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
2008
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
1998
González-Vera, Pablo; Santos-León, J. C.; Njåstad, Olav
1996
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
2016
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
2010
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
2001
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
1998
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
1999
Spherical wavelet transform and its discretization. Zbl 0858.44005
Freeden, Willi; Windheuser, Ulrich
1996
Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties. Zbl 1018.42020
Paluszyński, Maciej; Šikić, Hrvoje; Weiss, Guido; Xiao, Shaoliang
2003
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
2009
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
1995
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
2005
Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028
Wu, Zong Min; Liu, Jian Ping
2005
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Zbl 1415.65223
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing
2019
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Zbl 1381.65057
Kopteva, Natalia; Stynes, Martin
2017
A B-spline approach for empirical mode decompositions. Zbl 1092.94007
Chen, Qiuhui; Huang, Norden; Riemenschneider, Sherman; Xu, Yuesheng
2006
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2003
Localized frames are finite unions of Riesz sequences. Zbl 1019.42019
Gröchenig, Karlheinz
2003
How good can polynomial interpolation on the sphere be? Zbl 0980.41003
Womersley, Robert S.; Sloan, Ian H.
2001
Helix splines as an example of affine Tchebycheffian splines. Zbl 0832.65008
Pottmann, Helmut; Wagner, Michael G.
1994
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
1995
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Zbl 1118.65069
Casas, Eduardo
2007
Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion. Zbl 1169.94302
Bollt, Erik M.; Chartrand, Rick; Esedoḡlu, Selim; Schultz, Pete; Vixie, Kevin R.
2009
Frames in spaces with finite rate of innovation. Zbl 1218.42015
Sun, Qiyu
2008
Symmetric orthonormal scaling functions and wavelets with dilation factor 4. Zbl 0903.42018
Han, Bin
1998
Error estimates for generalized barycentric interpolation. Zbl 1259.65013
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
2012
Computing breaking points in implicit delay differential equations. Zbl 1160.65041
Guglielmi, Nicola; Hairer, Ernst
2008
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Zbl 0868.65068
Fairweather, G.; López-Marcos, J. C.
1996
Numerical solution of generalized Lyapunov equations. Zbl 0909.65026
Penzl, Thilo
1998
Introduction to the web-method and its applications. Zbl 1070.65118
Höllig, Klaus; Apprich, Christian; Streit, Anja
2005
Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008
Marchi, Stefano; Schaback, Robert; Wendland, Holger
2005
Evaluation of generalized Mittag-Leffler functions on the real line. Zbl 1272.33020
Garrappa, Roberto; Popolizio, Marina
2013
Wavelet bases of Hermite cubic splines on the interval. Zbl 1101.65123
Jia, Rong-Qing; Liu, Song-Tao
2006
$$L^{2}$$ error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218
Lv, Junliang; Li, Yonghai
2010
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
2009
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs. Zbl 07349297
Laakmann, Fabian; Petersen, Philipp
2021
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Zbl 07349369
Bürger, Raimund; Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 07351903
Ye, Xiu; Zhang, Shangyou
2021
Learning via variably scaled kernels. Zbl 07380984
Campi, C.; Marchetti, F.; Perracchione, E.
2021
Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447
Chen, Chuchu; Cohen, David; D&rsquo;Ambrosio, Raffaele; Lang, Annika
2020
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
2020
Universal optimal configurations for the $$p$$-frame potentials. Zbl 1437.42046
Chen, X.; Gonzalez, V.; Goodman, E.; Kang, S.; Okoudjou, K. A.
2020
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin
2020
Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method. Zbl 1457.60103
Dai, Xinjie; Xiao, Aiguo
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
2020
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Analysis of adaptive synchrosqueezing transform with a time-varying parameter. Zbl 1447.42035
Lu, Jian; Jiang, Qingtang; Li, Lin
2020
Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. Zbl 07188452
Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard
2020
Approximation of stability radii for large-scale dissipative Hamiltonian systems. Zbl 1436.65206
Aliyev, Nicat; Mehrmann, Volker; Mengi, Emre
2020
Polynomial convergence order of stochastic Bernstein approximation. Zbl 1436.62395
Wu, Zongmin; Zhou, Xuan
2020
Shape optimization of Stokesian peristaltic pumps using boundary integral methods. Zbl 1436.65198
Bonnet, Marc; Liu, Ruowen; Veerapaneni, Shravan
2020
Frames and weak frames for unbounded operators. Zbl 1439.42041
Bellomonte, Giorgia; Corso, Rosario
2020
Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport. Zbl 1437.35523
Buet, Christophe; Despres, Bruno; Morel, Guillaume
2020
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. Zbl 1442.65229
Jiang, Daijun; Liu, Yikan; Wang, Dongling
2020
Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. Zbl 1442.65265
Leng, Haitao; Chen, Yanping
2020
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes. Zbl 1448.65198
Zhou, Yanhui; Wu, Jiming
2020
A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction. Zbl 1433.76104
Dong, Jian
2020
Preserving the DAE structure in the Loewner model reduction and identification framework. Zbl 1437.65086
Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C.
2020
Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method. Zbl 1436.65169
An, Rong
2020
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. Zbl 1437.35535
Greengard, Leslie; Jiang, Shidong; Wang, Jun
2020
The nonconforming virtual element method for fourth-order singular perturbation problem. Zbl 1436.65191
Zhang, Bei; Zhao, Jikun; Chen, Shaochun
2020
Worst-case optimal approximation with increasingly flat Gaussian kernels. Zbl 07189703
Karvonen, Toni; Särkkä, Simo
2020
Optimal frame designs for multitasking devices with weight restrictions. Zbl 1451.42039
Benac, María J.; Massey, Pedro; Ruiz, Mariano; Stojanoff, Demetrio
2020
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
2020
An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Zbl 1436.65180
Giani, Stefano
2020
Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044
Benner, Peter; Werner, Steffen W. R.
2020
A boundary-partition-based Voronoi diagram of $$d$$-dimensional balls: definition, properties, and applications. Zbl 1451.52009
Duan, Xianglong; Quan, Chaoyu; Stamm, Benjamin
2020
High-order cut finite elements for the elastic wave equation. Zbl 1437.65144
Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla
2020
Multigrid preconditioners for anisotropic space-fractional diffusion equations. Zbl 1443.65122
Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken
2020
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Zbl 1454.65158
Ali, Mazen; Urban, Karsten
2020
Local superconvergence of post-processed high-order finite volume element solutions. Zbl 1454.65145
He, Wenming; Zhang, Zhimin; Zou, Qingsong
2020
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. Zbl 1454.65115
García-Archilla, Bosco; Novo, Julia
2020
Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. Zbl 07349365
Yang, Yidu; Zhang, Yu; Bi, Hai
2020
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Zbl 1415.65223
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing
2019
Randomized algorithms for the approximations of Tucker and the tensor train decompositions. Zbl 1433.68600
Che, Maolin; Wei, Yimin
2019
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
2019
Collocation methods for general Riemann-Liouville two-point boundary value problems. Zbl 1415.65168
Liang, Hui; Stynes, Martin
2019
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. Zbl 1420.82021
Li, Qi; Mei, Liquan; Yang, Xiaofeng; Li, Yibao
2019
ADMM for monotone operators: convergence analysis and rates. Zbl 07055804
Boţ, Radu Ioan; Csetnek, Ernö Robert
2019
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
2019
A deterministic sparse FFT for functions with structured Fourier sparsity. Zbl 1458.42002
Bittens, Sina; Zhang, Ruochuan; Iwen, Mark A.
2019
An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. Zbl 1415.78011
Huang, Can; Wang, Li-Lian
2019
Randomized model order reduction. Zbl 1418.65193
Alla, Alessandro; Kutz, J. Nathan
2019
Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws. Zbl 1435.65213
Yano, Masayuki
2019
Spectral collocation method for system of weakly singular Volterra integral equations. Zbl 1439.65226
Gu, Zhendong
2019
Algebraic-trigonometric Pythagorean-hodograph space curves. Zbl 1415.65045
Romani, Lucia; Montagner, Francesca
2019
Verified computation of the matrix exponential. Zbl 1447.65009
Miyajima, Shinya
2019
Developing and analyzing fourth-order difference methods for the metamaterial Maxwell’s equations. Zbl 1428.65011
Li, Jichun; Chen, Meng; Chen, Min
2019
Fast iterative solvers for an optimal transport problem. Zbl 1415.65070
Herzog, Roland; Pearson, John W.; Stoll, Martin
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
2019
Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions. Zbl 1430.65006
Wang, Jun; Greengard, Leslie
2019
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Zbl 1415.78008
Hrkac, Gino; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Segatti, Antonio; Stiftner, Bernhard
2019
A new globally convergent algorithm for non-Lipschitz $$\ell_{p}-\ell_q$$ minimization. Zbl 1415.49022
Liu, Zhifang; Wu, Chunlin; Zhao, Yanan
2019
Local convergence of the Levenberg-Marquardt method under Hölder metric subregularity. Zbl 07179111
Ahookhosh, Masoud; Aragón Artacho, Francisco J.; Fleming, Ronan M. T.; Vuong, Phan T.
2019
$${\mathscr{H}}$$-matrix approximability of inverses of discretizations of the fractional Laplacian. Zbl 1435.65205
Karkulik, Michael; Melenk, Jens Markus
2019
Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations. Zbl 1437.65152
Wang, Bin; Wu, Xinyuan
2019
Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions. Zbl 1415.65261
Meng, Xiangyun; Stynes, Martin
2019
The empirical Christoffel function with applications in data analysis. Zbl 1425.62079
Lasserre, Jean B.; Pauwels, Edouard
2019
Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems. Zbl 1415.35151
Jüngel, Ansgar; Leingang, Oliver
2019
Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method. Zbl 1415.65095
Zhang, Ran; Plonka, Gerlind
2019
Multiscale finite element calculations in Python using sfepy. Zbl 1433.65005
Cimrman, Robert; Lukeš, Vladimír; Rohan, Eduard
2019
A hierarchical a posteriori error estimator for the reduced basis method. Zbl 1435.65203
2019
An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. Zbl 1435.65210
2019
Analysis of parametric models. Linear methods and approximations. Zbl 1444.47080
Matthies, Hermann G.; Ohayon, Roger
2019
An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. Zbl 1418.65037
Bremer, James
2019
On a correction of a property of $$GC_{n}$$ sets. Zbl 1414.41002
Hakopian, Hakop; Vardanyan, Vahagn
2019
Adaptive refinement for $$hp$$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2019
Nonlocal operators with local boundary conditions in higher dimensions. Zbl 1412.45017
Aksoylu, Burak; Celiker, Fatih; Kilicer, Orsan
2019
On the discontinuity of images recovered by noncovex nonsmooth regularized isotropic models with box constraints. Zbl 1415.49018
Zeng, Chao; Wu, Chunlin
2019
Extensions of planar GC sets and Syzygy matrices. Zbl 1423.41001
Carnicer, Jesús M.; Godés, Carmen
2019
Fokker-Planck equation driven by asymmetric Lévy motion. Zbl 1415.65201
Wang, Xiao; Shang, Wenpeng; Li, Xiaofan; Duan, Jinqiao; Huang, Yanghong
2019
Numerical modeling of wildland surface fire propagation by evolving surface curves. Zbl 1415.65206
Ambroz, Martin; Balažovjech, Martin; Medl&rsquo;a, Matej; Mikula, Karol
2019
A certified model reduction approach for robust parameter optimization with PDE constraints. Zbl 07074893
Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan
2019
On error indicators for optimizing parameters in stabilized methods. Zbl 1426.65178
Knobloch, Petr; Lukáš, Petr; Solin, Pavel
2019
A bilinear $$\mathcal{H}_2$$ model order reduction approach to linear parameter-varying systems. Zbl 1434.93011
Benner, Peter; Cao, Xingang; Schilders, Wil
2019
A transport-based multifidelity preconditioner for Markov chain Monte Carlo. Zbl 07179095
Peherstorfer, Benjamin; Marzouk, Youssef
2019
Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. Zbl 1435.65155
Dal Santo, Niccolò; Manzoni, Andrea
2019
A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems. Zbl 1432.65166
Wang, Liang; Xiong, Chunguang; Wu, Huibin; Luo, Fusheng
2019
Computing images of polynomial maps. Zbl 1436.14099
Harris, Corey; Michałek, Mateusz; Sertöz, Emre Can
2019
Computing the closest real normal matrix and normal completion. Zbl 1434.65044
Guglielmi, Nicola; Scalone, Carmela
2019
Variational integrators for orbital problems using frequency estimation. Zbl 1414.49038
Kosmas, Odysseas; Leyendecker, Sigrid
2019
An algorithm for the evaluation of the incomplete gamma function. Zbl 1428.33002
2019
A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence. Zbl 1421.58004
Yao, Xudong
2019
Higher order analysis of the geometry of singularities using the Taylorlet transform. Zbl 1423.42062
Fink, Thomas
2019
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. Zbl 1415.65215
Belonosov, Andrey; Shishlenin, Maxim; Klyuchinskiy, Dmitriy
2019
Adaptive estimation for nonlinear systems using reproducing kernel Hilbert spaces. Zbl 1416.93100
Bobade, Parag; Majumdar, Suprotim; Pereira, Savio; Kurdila, Andrew J.; Ferris, John B.
2019
An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems. Zbl 1415.65294
Rekatsinas, Nikolaos; Stevenson, Rob
2019
Two numerical methods for the Zakharov-Rubenchik equations. Zbl 1415.65239
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming
2019
High dimensional finite elements for time-space multiscale parabolic equations. Zbl 1419.65071
Tan, Wee Chin; Hoang, Viet Ha
2019
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112
Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard
2019
Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces. Zbl 1422.42049
Petersen, Philipp; Raslan, Mones
2019
Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature. Zbl 1415.65048
Hüning, Svenja; Wallner, Johannes
2019
Sparse power factorization: balancing peakiness and sample complexity. Zbl 1409.94813
Geppert, Jakob; Krahmer, Felix; Stöger, Dominik
2019
Boundary integral analysis for non-homogeneous, incompressible Stokes flows. Zbl 1426.65193
Gray, L. J.; Jakowski, Jas; Moore, M. N. J.; Ye, Wenjing
2019
A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares. Zbl 1421.05025
Falcón, Raúl M.; Álvarez, Víctor; Gudiel, Félix
2019
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#### Cited by 11,873 Authors

 62 Peña, Juan Manuel 58 Farouki, Rida T. 53 Dehghan Takht Fooladi, Mehdi 53 Xu, Yuesheng 51 Chen, Yanping 51 Karageorghis, Andreas 51 Qian, Tao 49 Chen, Ching-Shyang 46 Zhou, Dingxuan 42 Mazure, Marie-Laurence 36 Han, Deguang 36 Sun, Qiyu 35 Carnicer, Jésus Miguel 34 Guo, Ben-Yu 34 Han, Bin 33 Chen, Wen 33 He, Yinnian 33 Huang, Yunqing 33 Li, Yunzhang 33 Manni, Carla 33 Temlyakov, Vladimir Nikolaevich 32 Shi, Dongyang 31 Wu, Zongmin 30 Lesnic, Daniel 30 Schaback, Robert 29 Casazza, Peter George 29 Conti, Costanza 29 Speleers, Hendrik 28 Hon, Yiu-Chung 28 Ling, Leevan 28 Mhaskar, Hrushikesh N. 27 Li, Jian 27 Shen, Zuowei 27 Sloan, Ian Hugh 27 Wendland, Holger 26 Jüttler, Bert 26 Lin, Tao 26 Shang, Yueqiang 25 Giannelli, Carlotta 25 Sauer, Tomas 25 Siraj-ul-Islam 24 Chui, Charles Kam-tai 24 Romani, Lucia 24 Wang, Zhongqing 23 Brugnano, Luigi 23 Jiang, Qingtang 23 Marin, Liviu 23 Mu, Lin 23 Yang, Yidu 22 Zhang, Zhimin 21 Chen, Dirong 21 He, Xiaoming 21 Pasadas, Miguel 21 Schwab, Christoph 21 Sestini, Alessandra 21 Xie, Hehu 21 Ye, Xiu 21 Zou, Qingsong 20 Charina, Maria 20 Han, Xuli 20 Li, Zi-Cai 20 Sbibih, Driss 20 Yan, Ningning 19 Alves, Carlos J. S. 19 Cao, Feilong 19 Chen, Zhongying 19 Dahlke, Stephan 19 González-Vera, Pablo 19 Gu, Yan 19 Kutyniok, Gitta 19 Li, Jichun 19 Lin, Shaobo 19 Sun, Hongwei 19 Yang, Shouzhi 18 Boţ, Radu Ioan 18 Christensen, Ole 18 Fasshauer, Gregory E. 18 Fornberg, Bengt 18 Hou, Yanren 18 Kansa, Edward J. 18 Li, Song 18 Li, Youfa 18 Steinbach, Olaf 18 Sun, Wenchang 18 Wang, Lilian 18 Woźniakowski, Henryk 18 Xu, Zongben 18 Zhang, Haizhang 18 Zhang, Shangyou 17 Amat, Sergio P. 17 Benner, Peter 17 Bi, Hai 17 Boyd, John Philip 17 Cavoretto, Roberto 17 Chen, Zhangxin 17 Fu, Zhuojia 17 Griebel, Michael 17 Krajnc, Marjeta 17 Steidl, Gabriele 17 Stevenson, Rob P. ...and 11,773 more Authors
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#### Cited in 721 Journals

 664 Journal of Computational and Applied Mathematics 429 Advances in Computational Mathematics 415 Engineering Analysis with Boundary Elements 396 Applied Mathematics and Computation 359 Applied Numerical Mathematics 345 Journal of Computational Physics 326 Computers & Mathematics with Applications 311 Journal of Scientific Computing 258 Applied and Computational Harmonic Analysis 255 Computer Aided Geometric Design 241 Computer Methods in Applied Mechanics and Engineering 215 Numerical Algorithms 203 Journal of Approximation Theory 188 Mathematics of Computation 161 Journal of Mathematical Analysis and Applications 148 Numerische Mathematik 145 SIAM Journal on Scientific Computing 133 Linear Algebra and its Applications 106 The Journal of Fourier Analysis and Applications 104 Numerical Methods for Partial Differential Equations 96 SIAM Journal on Numerical Analysis 89 Applied Mathematical Modelling 87 Journal of Complexity 87 International Journal of Wavelets, Multiresolution and Information Processing 86 International Journal of Computer Mathematics 81 BIT 74 Constructive Approximation 72 Mathematics and Computers in Simulation 69 Mathematical Problems in Engineering 68 International Journal for Numerical Methods in Engineering 68 Numerical Functional Analysis and Optimization 63 Applied Mathematics Letters 62 Computers and Fluids 60 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 57 Proceedings of the American Mathematical Society 54 Applicable Analysis 52 Mathematical Methods in the Applied Sciences 49 Science China. Mathematics 45 Abstract and Applied Analysis 43 Journal of Mathematical Physics 43 Computational and Applied Mathematics 42 Inverse Problems 41 Calcolo 41 Computational Mechanics 41 Analysis and Applications (Singapore) 40 Journal of Functional Analysis 39 Inverse Problems in Science and Engineering 36 Foundations of Computational Mathematics 34 Journal of Integral Equations and Applications 34 SIAM Journal on Imaging Sciences 33 Automatica 33 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 33 Computational Optimization and Applications 33 Acta Mathematica Sinica. English Series 33 International Journal of Computational Methods 32 Acta Applicandae Mathematicae 32 Journal of Inequalities and Applications 31 Results in Mathematics 30 Journal of Function Spaces 27 Computing 27 SIAM/ASA Journal on Uncertainty Quantification 26 Journal of Symbolic Computation 26 Neural Computation 26 Numerical Linear Algebra with Applications 25 Transactions of the American Mathematical Society 25 Journal of Mathematical Imaging and Vision 25 Mediterranean Journal of Mathematics 24 SIAM Journal on Optimization 23 SIAM Journal on Matrix Analysis and Applications 23 Applied Mathematics. Series B (English Edition) 23 Communications in Nonlinear Science and Numerical Simulation 23 Discrete and Continuous Dynamical Systems. Series B 22 Journal of Optimization Theory and Applications 22 Journal of Applied Mathematics 22 Advances in Difference Equations 22 Inverse Problems and Imaging 21 Chaos, Solitons and Fractals 21 The Annals of Statistics 20 Journal of Fluid Mechanics 20 Integral Transforms and Special Functions 19 Acta Mathematicae Applicatae Sinica. English Series 18 Linear and Multilinear Algebra 18 Journal of Statistical Planning and Inference 18 Journal of Numerical Mathematics 17 Japan Journal of Industrial and Applied Mathematics 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Journal of Inverse and Ill-Posed Problems 17 European Journal of Mechanics. B. Fluids 17 Journal of Applied Mathematics and Computing 16 Neural Networks 16 Computational Methods in Applied Mathematics 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Mathematical and Computer Modelling 15 Journal of Systems Science and Complexity 15 Complex Analysis and Operator Theory 14 Journal of the Franklin Institute 14 Mathematical Biosciences 14 Mathematical Notes 14 Monatshefte für Mathematik ...and 621 more Journals
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#### Cited in 61 Fields

 6,608 Numerical analysis (65-XX) 2,202 Partial differential equations (35-XX) 1,481 Approximations and expansions (41-XX) 1,347 Harmonic analysis on Euclidean spaces (42-XX) 1,014 Fluid mechanics (76-XX) 668 Computer science (68-XX) 601 Mechanics of deformable solids (74-XX) 572 Information and communication theory, circuits (94-XX) 507 Ordinary differential equations (34-XX) 494 Statistics (62-XX) 441 Functional analysis (46-XX) 416 Calculus of variations and optimal control; optimization (49-XX) 375 Operations research, mathematical programming (90-XX) 347 Probability theory and stochastic processes (60-XX) 326 Operator theory (47-XX) 318 Linear and multilinear algebra; matrix theory (15-XX) 302 Integral equations (45-XX) 290 Biology and other natural sciences (92-XX) 270 Optics, electromagnetic theory (78-XX) 250 Special functions (33-XX) 215 Systems theory; control (93-XX) 168 Real functions (26-XX) 157 Dynamical systems and ergodic theory (37-XX) 143 Classical thermodynamics, heat transfer (80-XX) 137 Differential geometry (53-XX) 135 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 128 Quantum theory (81-XX) 125 Functions of a complex variable (30-XX) 121 Statistical mechanics, structure of matter (82-XX) 117 Combinatorics (05-XX) 97 Number theory (11-XX) 94 Geophysics (86-XX) 73 Global analysis, analysis on manifolds (58-XX) 71 Algebraic geometry (14-XX) 71 Convex and discrete geometry (52-XX) 67 Abstract harmonic analysis (43-XX) 65 Integral transforms, operational calculus (44-XX) 59 Potential theory (31-XX) 59 Mechanics of particles and systems (70-XX) 54 Difference and functional equations (39-XX) 46 Commutative algebra (13-XX) 42 Relativity and gravitational theory (83-XX) 32 Measure and integration (28-XX) 28 Geometry (51-XX) 23 Topological groups, Lie groups (22-XX) 23 Sequences, series, summability (40-XX) 19 Several complex variables and analytic spaces (32-XX) 18 History and biography (01-XX) 17 Field theory and polynomials (12-XX) 16 General and overarching topics; collections (00-XX) 14 Group theory and generalizations (20-XX) 12 Manifolds and cell complexes (57-XX) 11 General topology (54-XX) 9 Mathematical logic and foundations (03-XX) 9 Astronomy and astrophysics (85-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic topology (55-XX) 6 Mathematics education (97-XX) 5 Nonassociative rings and algebras (17-XX) 4 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX)