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Advances in Computational 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: 1,446 Publications (since 1993)
References Indexed: 1,142 Publications with 32,936 References.
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Latest Issues

48, No. 3 (2022)
48, No. 2 (2022)
48, No. 1 (2022)
47, No. 6 (2021)
47, No. 5 (2021)
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...and 66 more Volumes
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Authors

19 Xu, Yuesheng
16 Micchelli, Charles A.
15 Schaback, Robert
14 Farouki, Rida T.
13 Peña, Juan Manuel
11 Guo, Ben-Yu
11 Sauer, Tomas
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 Wang, Lilian
7 Yan, Ningning
7 Zhou, Aihui
7 Zhou, Dingxuan
6 Casazza, Peter George
6 Chen, Yanping
6 Domínguez, Víctor
6 Hinze, Michael
6 Hu, Qiya
6 Jiang, Qingtang
6 Kim, Rae Young
6 Le Gia, Quoc Thong
6 Manni, Carla
6 Mazure, Marie-Laurence
6 Romani, Lucia
6 Sloan, Ian Hugh
6 Stynes, Martin
6 Sun, Qiyu
6 Urban, Karsten
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 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 Reif, Ulrich
5 Stephan, Ernst Peter
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 Feichtinger, Hans Georg
4 Fickus, Matthew C.
4 Gemignani, Luca
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 He, Yinnian
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
...and 2,061 more Authors
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Fields

1,074 Numerical analysis (65-XX)
379 Partial differential equations (35-XX)
302 Approximations and expansions (41-XX)
199 Harmonic analysis on Euclidean spaces (42-XX)
107 Fluid mechanics (76-XX)
85 Computer science (68-XX)
72 Information and communication theory, circuits (94-XX)
69 Integral equations (45-XX)
64 Ordinary differential equations (34-XX)
55 Linear and multilinear algebra; matrix theory (15-XX)
50 Calculus of variations and optimal control; optimization (49-XX)
49 Optics, electromagnetic theory (78-XX)
44 Mechanics of deformable solids (74-XX)
41 Operations research, mathematical programming (90-XX)
38 Special functions (33-XX)
32 Functional analysis (46-XX)
31 Statistics (62-XX)
31 Systems theory; control (93-XX)
30 Operator theory (47-XX)
26 Real functions (26-XX)
26 Dynamical systems and ergodic theory (37-XX)
26 Biology and other natural sciences (92-XX)
25 Functions of a complex variable (30-XX)
24 Differential geometry (53-XX)
24 Probability theory and stochastic processes (60-XX)
16 Potential theory (31-XX)
14 General and overarching topics; collections (00-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Geophysics (86-XX)
12 Number theory (11-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Integral transforms, operational calculus (44-XX)
11 Convex and discrete geometry (52-XX)
10 Algebraic geometry (14-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Combinatorics (05-XX)
9 Commutative algebra (13-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)
3 Algebraic topology (55-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 Manifolds and cell complexes (57-XX)
1 Mathematical logic and foundations (03-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,185 Publications have been cited 15,349 times in 11,785 Documents Cited by Year
On the Lambert \(w\) function. Zbl 0863.65008
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E.
814
1996
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Zbl 0838.41014
Wendland, Holger
511
1995
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
464
1998
Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007
Schaback, Robert
267
1995
An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation. Zbl 0943.65017
Rippa, Shmuel
266
1999
Regularization networks and support vector machines. Zbl 0939.68098
Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso
199
2000
High dimensional polynomial interpolation on sparse grids. Zbl 0944.41001
Barthelmann, Volker; Novak, Erich; Ritter, Klaus
162
2000
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
150
1996
Compactly supported positive definite radial functions. Zbl 0837.41016
Wu, Zongmin
132
1995
Finite normalized tight frames. Zbl 1028.42022
Benedetto, John J.; Fickus, Matthew
122
2003
Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088
Franke, Carsten; Schaback, Robert
115
1998
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
115
2003
A posteriori error estimates for distributed convex optimal control problems. Zbl 1008.49024
Liu, Wenbin; Yan, Ningning
109
2001
A splitting algorithm for dual monotone inclusions involving cocoercive operators. Zbl 1284.47045
Vũ, Băng Công
109
2013
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
106
1996
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
101
2016
Polynomial interpolation in several variables. Zbl 0943.41001
Gasca, Mariano; Sauer, Thomas
96
2000
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
91
2001
Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013
Carnicer, J. M.; Peña, J. M.
84
1993
Solving differential equations with radial basis functions: Multilevel methods and smoothing. Zbl 0940.65122
Fasshauer, Gregory E.
81
1999
Subdivision schemes in \(L_ p\) spaces. Zbl 0833.65148
Jia, Rong-Qing
79
1995
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
77
1998
Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024
Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo
76
2002
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
72
2001
The best \(m\)-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
70
1998
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
68
2001
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
66
1993
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
64
2000
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
62
2004
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
61
2003
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
58
2006
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
57
2002
Pythagorean-hodograph space curves. Zbl 0829.65011
Farouki, Rida T.; Sakkalis, Takis
57
1994
Integration and approximation in arbitrary dimensions. Zbl 0939.41004
Hickernell, F. J.; Wozniakowski, H.
57
2000
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
56
2014
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
55
2011
\(p\)-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
54
2003
A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123
Petzoldt, Martin
53
2002
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099
Griebel, M.; Oswald, P.
53
1995
Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180
Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng
53
2012
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
53
2009
Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Zbl 0940.65011
Beatson, R. K.; Cherrie, J. B.; Mouat, C. T.
53
1999
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
52
2001
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
50
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.
49
2014
Barycentric coordinates for convex polytopes. Zbl 0873.52013
Warren, Joe
47
1996
Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.
47
1995
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
46
2005
Blossoms and optimal bases. Zbl 1042.65016
Mazure, Marie-Laurence
44
2004
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.
43
2014
The dual basis functions for the Bernstein polynomials. Zbl 0913.41004
Jüttler, Bert
43
1998
Quadratic spline quasi-interpolants on Powell-Sabin partitions. Zbl 1116.65008
Manni, Carla; Sablonnière, Paul
42
2007
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
41
2002
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
41
2010
Barycentric coordinates for convex sets. Zbl 1124.52010
Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu
41
2007
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
40
1997
Multiwavelet frames from refinable function vectors. Zbl 1059.42030
Han, Bin; Mo, Qun
40
2003
Stable phase retrieval with low-redundancy frames. Zbl 1316.42035
Bodmann, Bernhard G.; Hammen, Nathaniel
40
2015
Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079
Sun, Qiyu
40
2010
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
40
2008
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
39
2006
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
39
2016
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
38
2019
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
38
2003
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
37
2001
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
37
1997
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
37
1998
Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
37
1996
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
37
2009
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
37
2007
Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087
Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu
36
2003
Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028
Wu, Zong Min; Liu, Jian Ping
35
2005
Some results about numerical quadrature on the unit circle. Zbl 0856.41025
González-Vera, Pablo; Santos-León, J. C.; Njåstad, Olav
35
1996
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
34
1998
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
34
2003
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
34
1995
Spherical wavelet transform and its discretization. Zbl 0858.44005
Freeden, Willi; Windheuser, Ulrich
34
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
33
2003
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
33
1993
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
33
2009
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
33
1999
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Zbl 1118.65069
Casas, Eduardo
33
2007
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
32
2005
Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008
Marchi, Stefano; Schaback, Robert; Wendland, Holger
32
2005
Error estimates for generalized barycentric interpolation. Zbl 1259.65013
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
32
2012
How good can polynomial interpolation on the sphere be? Zbl 0980.41003
Womersley, Robert S.; Sloan, Ian H.
32
2001
\(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218
Lv, Junliang; Li, Yonghai
32
2010
A B-spline approach for empirical mode decompositions. Zbl 1092.94007
Chen, Qiuhui; Huang, Norden; Riemenschneider, Sherman; Xu, Yuesheng
31
2006
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.
31
2009
Computing breaking points in implicit delay differential equations. Zbl 1160.65041
Guglielmi, Nicola; Hairer, Ernst
31
2008
Numerical solution of generalized Lyapunov equations. Zbl 0909.65026
Penzl, Thilo
30
1998
Localized frames are finite unions of Riesz sequences. Zbl 1019.42019
Gröchenig, Karlheinz
30
2003
Wavelet bases of Hermite cubic splines on the interval. Zbl 1101.65123
Jia, Rong-Qing; Liu, Song-Tao
30
2006
Frames in spaces with finite rate of innovation. Zbl 1218.42015
Sun, Qiyu
30
2008
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Zbl 1381.65057
Kopteva, Natalia; Stynes, Martin
30
2017
Toric surface patches. Zbl 0997.65027
Krasauskas, Rimvydas
29
2002
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint). Zbl 0866.65054
Crank, J.; Nicolson, P.
29
1996
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Zbl 0868.65068
Fairweather, G.; López-Marcos, J. C.
29
1996
Helix splines as an example of affine Tchebycheffian splines. Zbl 0832.65008
Pottmann, Helmut; Wagner, Michael G.
29
1994
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
29
1995
The role of mesh quality and mesh quality indicators in the virtual element method. Zbl 07462021
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
2
2022
\(p\)- and \(hp\)-virtual elements for the Stokes problem. Zbl 1475.65187
Chernov, A.; Marcati, C.; Mascotto, L.
4
2021
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. Zbl 07400546
Qiao, Leijie; Xu, Da
3
2021
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs. Zbl 1472.65134
Laakmann, Fabian; Petersen, Philipp
3
2021
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Zbl 1469.65146
Bürger, Raimund; Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh
3
2021
Robin-Robin domain decomposition methods for the dual-porosity-conduit system. Zbl 1467.76035
Hou, Jiangyong; Yan, Wenjing; Hu, Dan; He, Zhengkang
3
2021
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation. Zbl 1472.65103
Wang, Xuping; Zhang, Qifeng; Sun, Zhi-zhong
2
2021
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations. Zbl 1472.65108
Wang, Wansheng; Mao, Mengli; Wang, Zheng
2
2021
A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system. Zbl 1464.76127
Li, Yibao; Yu, Qian; Fang, Weiwei; Xia, Binhu; Kim, Junseok
2
2021
Joint spectral radius and ternary Hermite subdivision. Zbl 1467.65007
Charina, M.; Conti, C.; Mejstrik, T.; Merrien, J.-L.
2
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 1473.65323
Ye, Xiu; Zhang, Shangyou
2
2021
Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. Zbl 07400548
Guglielmi, Nicola; Kressner, Daniel; Scalone, Carmela
1
2021
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1482.65199
Zheng, Nan; Li, Xiaoli
1
2021
Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations. Zbl 07402263
Fu, Hongfei; Zhu, Chen; Liang, Xueting; Zhang, Bingyin
1
2021
Rapid evaluation of the spectral signal detection threshold and Stieltjes transform. Zbl 07402265
Leeb, William
1
2021
Convergence rates for boundedly regular systems. Zbl 1483.34081
Csetnek, Ernö Robert; Eberhard, Andrew; Tam, Matthew K.
1
2021
Learning via variably scaled kernels. Zbl 07380984
Campi, C.; Marchetti, F.; Perracchione, E.
1
2021
Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements. Zbl 1477.65220
Hu, Jun; Ma, Limin; Ma, Rui
1
2021
Continuous window functions for NFFT. Zbl 1473.65358
Potts, Daniel; Tasche, Manfred
1
2021
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Zbl 1480.65230
Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu
1
2021
A hybrid collocation-perturbation approach for PDEs with random domains. Zbl 1479.65033
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F.
1
2021
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. Zbl 07378118
Liu, Huan; Zheng, Xiangcheng; Chen, Chuanjun; Wang, Hong
1
2021
Structure-preserving interpolation of bilinear control systems. Zbl 1470.93032
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
1
2021
Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators. Zbl 1473.65022
Wu, Bowei; Martinsson, Per-Gunnar
1
2021
An adaptive spectral graph wavelet method for PDEs on networks. Zbl 1472.65129
Mehra, Mani; Shukla, Ankita; Leugering, Günter
1
2021
Adaptive and optimal pointwise deconvolution density estimations by wavelets. Zbl 1464.42033
Wu, Cong; Zeng, Xiaochen; Mi, Na
1
2021
Symplectic geometry and connectivity of spaces of frames. Zbl 1464.42028
Needham, Tom; Shonkwiler, Clayton
1
2021
Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation. Zbl 1465.65036
Balabanov, Oleg; Nouy, Anthony
1
2021
Convex combination of alternating projection and Douglas-Rachford operators for phase retrieval. Zbl 1465.65055
Thao, Nguyen Hieu; Soloviev, Oleg; Verhaegen, Michel
1
2021
A family of \(C^1\) quadrilateral finite elements. Zbl 1480.65339
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
1
2021
The hot spots conjecture can be false: some numerical examples. Zbl 07445240
Kleefeld, Andreas
1
2021
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
13
2020
Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447
Chen, Chuchu; Cohen, David; D’Ambrosio, Raffaele; Lang, Annika
10
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
8
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
7
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
6
2020
Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation. Zbl 1454.65118
Huang, Chaobao; Stynes, Martin
5
2020
High-order cut finite elements for the elastic wave equation. Zbl 1437.65144
Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla
5
2020
Multigrid preconditioners for anisotropic space-fractional diffusion equations. Zbl 1443.65122
Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken
4
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
4
2020
Universal optimal configurations for the \(p\)-frame potentials. Zbl 1437.42046
Chen, X.; Gonzalez, V.; Goodman, E.; Kang, S.; Okoudjou, K. A.
4
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
4
2020
Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. Zbl 1472.65137
Yang, Yidu; Zhang, Yu; Bi, Hai
4
2020
Analysis of adaptive synchrosqueezing transform with a time-varying parameter. Zbl 1447.42035
Lu, Jian; Jiang, Qingtang; Li, Lin
3
2020
Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. Zbl 07188452
Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard
3
2020
Polynomial convergence order of stochastic Bernstein approximation. Zbl 1436.62395
Wu, Zongmin; Zhou, Xuan
3
2020
Frames and weak frames for unbounded operators. Zbl 1439.42041
Bellomonte, Giorgia; Corso, Rosario
3
2020
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
3
2020
An integral equation-based numerical method for the forced heat equation on complex domains. Zbl 1452.65272
Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin
2
2020
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes. Zbl 1448.65198
Zhou, Yanhui; Wu, Jiming
2
2020
Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. Zbl 1442.65265
Leng, Haitao; Chen, Yanping
2
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
2
2020
A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction. Zbl 1433.76104
Dong, Jian
2
2020
Preserving the DAE structure in the Loewner model reduction and identification framework. Zbl 1437.65086
Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C.
2
2020
Approximation of stability radii for large-scale dissipative Hamiltonian systems. Zbl 1436.65206
Aliyev, Nicat; Mehrmann, Volker; Mengi, Emre
2
2020
Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Zbl 1441.49031
Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas
2
2020
Shape optimization of Stokesian peristaltic pumps using boundary integral methods. Zbl 1436.65198
Bonnet, Marc; Liu, Ruowen; Veerapaneni, Shravan
2
2020
The nonconforming virtual element method for fourth-order singular perturbation problem. Zbl 1436.65191
Zhang, Bei; Zhao, Jikun; Chen, Shaochun
2
2020
A characteristic finite element two-grid algorithm for a compressible miscible displacement problem. Zbl 1436.65138
Hu, Hanzhang; Chen, Yanping; Huang, Yunqing
2
2020
Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044
Benner, Peter; Werner, Steffen W. R.
2
2020
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. Zbl 1467.65112
Meng, Jian; Mei, Liquan
1
2020
Generalized Born-Jordan distributions and applications. Zbl 1442.42029
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
1
2020
An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. Zbl 1441.65068
Wei, Yichen; Yi, Lijun
1
2020
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Zbl 1454.65158
Ali, Mazen; Urban, Karsten
1
2020
Local superconvergence of post-processed high-order finite volume element solutions. Zbl 1454.65145
He, Wenming; Zhang, Zhimin; Zou, Qingsong
1
2020
Solving partial differential equations on (evolving) surfaces with radial basis functions. Zbl 1455.65184
Wendland, Holger; Künemund, Jens
1
2020
Structured backward error analysis for generalized saddle point problems. Zbl 1436.65035
Zheng, Bing; Lv, Peng
1
2020
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. Zbl 1436.65114
Xie, Shusen; Yi, Su-Cheol
1
2020
Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method. Zbl 1436.65169
An, Rong
1
2020
Stochastic Bernstein polynomials: uniform convergence in probability with rates. Zbl 1436.62393
Adell, José A.; Cárdenas-Morales, Daniel
1
2020
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. Zbl 1437.35535
Greengard, Leslie; Jiang, Shidong; Wang, Jun
1
2020
Worst-case optimal approximation with increasingly flat Gaussian kernels. Zbl 07189703
Karvonen, Toni; Särkkä, Simo
1
2020
Optimal frame designs for multitasking devices with weight restrictions. Zbl 1451.42039
Benac, María J.; Massey, Pedro; Ruiz, Mariano; Stojanoff, Demetrio
1
2020
A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. Zbl 1436.65148
Jiang, Chaolong; Song, Yongzhong; Wang, Yushun
1
2020
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
1
2020
Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes. Zbl 1436.65163
Dong, Qiannan; Su, Shuai; Wu, Jiming
1
2020
An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Zbl 1436.65180
Giani, Stefano
1
2020
A boundary-partition-based Voronoi diagram of \(d\)-dimensional balls: definition, properties, and applications. Zbl 1451.52009
Duan, Xianglong; Quan, Chaoyu; Stamm, Benjamin
1
2020
Virtual element methods for nonlocal parabolic problems on general type of meshes. Zbl 1471.65131
Adak, D.; Natarajan, S.
1
2020
Unconditionally optimal convergence analysis of second-order BDF Galerkin finite element scheme for a hybrid MHD system. Zbl 1471.65150
Li, Yuan; Zhai, Chunfang
1
2020
Spectral collocation method for nonlinear Caputo fractional differential system. Zbl 1471.65158
Gu, Zhendong
1
2020
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem. Zbl 1465.65148
Yang, Ying; Tang, Ming; Liu, Chun; Lu, Benzhuo; Zhong, Liuqiang
1
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
38
2019
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
22
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
15
2019
Randomized algorithms for the approximations of Tucker and the tensor train decompositions. Zbl 1433.68600
Che, Maolin; Wei, Yimin
15
2019
Collocation methods for general Riemann-Liouville two-point boundary value problems. Zbl 1415.65168
Liang, Hui; Stynes, Martin
14
2019
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
14
2019
Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws. Zbl 1435.65213
Yano, Masayuki
11
2019
ADMM for monotone operators: convergence analysis and rates. Zbl 07055804
Boţ, Radu Ioan; Csetnek, Ernö Robert
10
2019
A deterministic sparse FFT for functions with structured Fourier sparsity. Zbl 1458.42002
Bittens, Sina; Zhang, Ruochuan; Iwen, Mark A.
7
2019
Randomized model order reduction. Zbl 1418.65193
Alla, Alessandro; Kutz, J. Nathan
7
2019
A new globally convergent algorithm for non-Lipschitz \(\ell_{p}-\ell_q\) minimization. Zbl 1415.49022
Liu, Zhifang; Wu, Chunlin; Zhao, Yanan
6
2019
The empirical Christoffel function with applications in data analysis. Zbl 1425.62079
Lasserre, Jean B.; Pauwels, Edouard
6
2019
Verified computation of the matrix exponential. Zbl 1447.65009
Miyajima, Shinya
6
2019
An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. Zbl 1435.65210
Taddei, Tommaso
6
2019
\({\mathscr{H}} \)-matrix approximability of inverses of discretizations of the fractional Laplacian. Zbl 1435.65205
Karkulik, Michael; Melenk, Jens Markus
6
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
5
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
5
2019
Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions. Zbl 1430.65006
Wang, Jun; Greengard, Leslie
5
2019
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Cited by 13,124 Authors

62 Chen, Yanping
62 Peña, Juan Manuel
59 Farouki, Rida T.
56 Dehghan Takht Fooladi, Mehdi
56 Qian, Tao
54 Karageorghis, Andreas
54 Xu, Yuesheng
51 Chen, Ching-Shyang
48 Zhou, Dingxuan
42 Huang, Yunqing
42 Mazure, Marie-Laurence
42 Schaback, Robert
39 Shi, Dongyang
37 He, Yinnian
37 Sauer, Tomas
36 Chen, Wen
36 Han, Deguang
36 Sun, Qiyu
35 Carnicer, Jésus Miguel
35 Temlyakov, Vladimir Nikolaevich
34 Guo, Ben-Yu
34 Han, Bin
34 Manni, Carla
33 Li, Yunzhang
32 Lesnic, Daniel
32 Shang, Yueqiang
31 Conti, Costanza
31 Wu, Zongmin
30 Speleers, Hendrik
29 Casazza, Peter George
29 Li, Jian
28 Hon, Yiu-Chung
28 Jüttler, Bert
28 Ling, Leevan
28 Mhaskar, Hrushikesh N.
28 Romani, Lucia
27 Lin, Tao
27 Shen, Zuowei
27 Sloan, Ian Hugh
27 Wang, Zhongqing
27 Wendland, Holger
27 Zhang, Zhimin
26 Marin, Liviu
25 Benner, Peter
25 Giannelli, Carlotta
25 He, Xiaoming
25 Krajnc, Marjeta
25 Siraj-ul-Islam
25 Ye, Xiu
25 Zhang, Shangyou
24 Chui, Charles Kam-tai
24 Gu, Yan
24 Mu, Lin
24 Schwab, Christoph
24 Yang, Yidu
23 Brugnano, Luigi
23 Jiang, Qingtang
22 Kutyniok, Gitta
22 Li, Zi-Cai
22 Pasadas, Miguel
22 Xie, Hehu
21 Chen, Dirong
21 Han, Xuli
21 Hou, Yanren
21 Li, Jichun
21 Sestini, Alessandra
21 Steidl, Gabriele
21 Zou, Qingsong
20 Charina, Maria
20 Dahlke, Stephan
20 Fu, Zhuojia
20 Lin, Shaobo
20 Sbibih, Driss
20 Stevenson, Rob P.
20 Wang, Lilian
20 Yan, Ningning
20 Zhang, Haizhang
19 Alves, Carlos J. S.
19 Amat, Sergio P.
19 Cao, Feilong
19 Chen, Zhongying
19 Christensen, Ole
19 González-Vera, Pablo
19 Harbrecht, Helmut
19 Jeon, Youngmok
19 Li, Huiyuan
19 Lu, Zuliang
19 Sun, Hongwei
19 Sun, Wenchang
19 Yang, Shouzhi
18 Bi, Hai
18 Boţ, Radu Ioan
18 Cavoretto, Roberto
18 Dyn, Nira
18 Fasshauer, Gregory E.
18 Fornberg, Bengt
18 Kansa, Edward J.
18 Li, Song
18 Li, Yonghai
18 Li, Youfa
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687 Journal of Computational and Applied Mathematics
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22 The Annals of Statistics
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20 Journal of Fluid Mechanics
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19 Linear and Multilinear Algebra
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19 Acta Mathematicae Applicatae Sinica. English Series
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18 Neural Networks
18 Japan Journal of Industrial and Applied Mathematics
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17 SIAM Journal on Control and Optimization
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