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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: 1,397 Publications (since 1993)
References Indexed: 1,093 Publications with 30,987 References.
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...and 62 more Volumes
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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)

Publications by Year

Citations contained in zbMATH Open

1,119 Publications have been cited 13,993 times in 10,687 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.
742
1996
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Zbl 0838.41014
Wendland, Holger
475
1995
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
436
1998
Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007
Schaback, Robert
249
1995
An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation. Zbl 0943.65017
Rippa, Shmuel
247
1999
Regularization networks and support vector machines. Zbl 0939.68098
Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso
187
2000
High dimensional polynomial interpolation on sparse grids. Zbl 0944.41001
Barthelmann, Volker; Novak, Erich; Ritter, Klaus
146
2000
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
136
1996
Compactly supported positive definite radial functions. Zbl 0837.41016
Wu, Zongmin
125
1995
Finite normalized tight frames. Zbl 1028.42022
Benedetto, John J.; Fickus, Matthew
117
2003
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
111
2003
Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088
Franke, Carsten; Schaback, Robert
110
1998
A posteriori error estimates for distributed convex optimal control problems. Zbl 1008.49024
Liu, Wenbin; Yan, Ningning
100
2001
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
99
1996
A splitting algorithm for dual monotone inclusions involving cocoercive operators. Zbl 1284.47045
Vũ, Băng Công
98
2013
Polynomial interpolation in several variables. Zbl 0943.41001
Gasca, Mariano; Sauer, Thomas
92
2000
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
84
2001
Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013
Carnicer, J. M.; Peña, J. M.
82
1993
Solving differential equations with radial basis functions: Multilevel methods and smoothing. Zbl 0940.65122
Fasshauer, Gregory E.
80
1999
Subdivision schemes in \(L_ p\) spaces. Zbl 0833.65148
Jia, Rong-Qing
79
1995
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
79
2016
Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024
Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo
75
2002
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
71
1998
The best \(m\)-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
68
1998
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
67
2001
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
65
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.
61
2004
Integration and approximation in arbitrary dimensions. Zbl 0939.41004
Hickernell, F. J.; Wozniakowski, H.
57
2000
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
56
1994
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
55
2006
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
55
2003
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
55
2001
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
54
2014
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099
Griebel, M.; Oswald, P.
51
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.
50
1999
\(p\)-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
50
2003
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
49
2009
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
48
2011
A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123
Petzoldt, Martin
48
2002
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
47
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.
47
2014
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
47
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.
46
1995
Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180
Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng
46
2012
Barycentric coordinates for convex polytopes. Zbl 0873.52013
Warren, Joe
44
1996
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
43
2005
Blossoms and optimal bases. Zbl 1042.65016
Mazure, Marie-Laurence
43
2004
The dual basis functions for the Bernstein polynomials. Zbl 0913.41004
Jüttler, Bert
42
1998
Quadratic spline quasi-interpolants on Powell-Sabin partitions. Zbl 1116.65008
Manni, Carla; Sablonnière, Paul
40
2007
Barycentric coordinates for convex sets. Zbl 1124.52010
Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu
40
2007
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
39
2006
Multiwavelet frames from refinable function vectors. Zbl 1059.42030
Han, Bin; Mo, Qun
39
2003
Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079
Sun, Qiyu
39
2010
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
38
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.
38
2014
Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
37
1996
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
37
2007
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
37
2002
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
36
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
36
2003
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
36
2003
Stable phase retrieval with low-redundancy frames. Zbl 1316.42035
Bodmann, Bernhard G.; Hammen, Nathaniel
36
2015
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
36
2008
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
35
1998
Some results about numerical quadrature on the unit circle. Zbl 0856.41025
González-Vera, Pablo; Santos-León, J. C.; Njåstad, Olav
35
1996
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
35
2016
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
35
2010
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
35
2001
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
34
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.
33
1999
Spherical wavelet transform and its discretization. Zbl 0858.44005
Freeden, Willi; Windheuser, Ulrich
33
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
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
33
2009
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
32
1995
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
32
2005
Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028
Wu, Zong Min; Liu, Jian Ping
32
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
31
2019
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Zbl 1381.65057
Kopteva, Natalia; Stynes, Martin
30
2017
A B-spline approach for empirical mode decompositions. Zbl 1092.94007
Chen, Qiuhui; Huang, Norden; Riemenschneider, Sherman; Xu, Yuesheng
30
2006
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
30
2003
Localized frames are finite unions of Riesz sequences. Zbl 1019.42019
Gröchenig, Karlheinz
30
2003
How good can polynomial interpolation on the sphere be? Zbl 0980.41003
Womersley, Robert S.; Sloan, Ian H.
30
2001
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
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Zbl 1118.65069
Casas, Eduardo
29
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.
29
2009
Frames in spaces with finite rate of innovation. Zbl 1218.42015
Sun, Qiyu
29
2008
Symmetric orthonormal scaling functions and wavelets with dilation factor 4. Zbl 0903.42018
Han, Bin
28
1998
Error estimates for generalized barycentric interpolation. Zbl 1259.65013
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
28
2012
Computing breaking points in implicit delay differential equations. Zbl 1160.65041
Guglielmi, Nicola; Hairer, Ernst
28
2008
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Zbl 0868.65068
Fairweather, G.; López-Marcos, J. C.
27
1996
Numerical solution of generalized Lyapunov equations. Zbl 0909.65026
Penzl, Thilo
27
1998
Introduction to the web-method and its applications. Zbl 1070.65118
Höllig, Klaus; Apprich, Christian; Streit, Anja
27
2005
Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008
Marchi, Stefano; Schaback, Robert; Wendland, Holger
27
2005
Evaluation of generalized Mittag-Leffler functions on the real line. Zbl 1272.33020
Garrappa, Roberto; Popolizio, Marina
27
2013
Wavelet bases of Hermite cubic splines on the interval. Zbl 1101.65123
Jia, Rong-Qing; Liu, Song-Tao
27
2006
\(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218
Lv, Junliang; Li, Yonghai
27
2010
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
27
2009
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs. Zbl 07349297
Laakmann, Fabian; Petersen, Philipp
2
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
1
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 07351903
Ye, Xiu; Zhang, Shangyou
1
2021
Learning via variably scaled kernels. Zbl 07380984
Campi, C.; Marchetti, F.; Perracchione, E.
1
2021
Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447
Chen, Chuchu; Cohen, David; D’Ambrosio, Raffaele; Lang, Annika
6
2020
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
6
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
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
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
3
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
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
Analysis of adaptive synchrosqueezing transform with a time-varying parameter. Zbl 1447.42035
Lu, Jian; Jiang, Qingtang; Li, Lin
3
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Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. Zbl 07188452
Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard
2
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Approximation of stability radii for large-scale dissipative Hamiltonian systems. Zbl 1436.65206
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2
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Polynomial convergence order of stochastic Bernstein approximation. Zbl 1436.62395
Wu, Zongmin; Zhou, Xuan
2
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Shape optimization of Stokesian peristaltic pumps using boundary integral methods. Zbl 1436.65198
Bonnet, Marc; Liu, Ruowen; Veerapaneni, Shravan
2
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Frames and weak frames for unbounded operators. Zbl 1439.42041
Bellomonte, Giorgia; Corso, Rosario
2
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Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport. Zbl 1437.35523
Buet, Christophe; Despres, Bruno; Morel, Guillaume
2
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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
2
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Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. Zbl 1442.65265
Leng, Haitao; Chen, Yanping
2
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A unified analysis of a class of quadratic finite volume element schemes on triangular meshes. Zbl 1448.65198
Zhou, Yanhui; Wu, Jiming
2
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A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction. Zbl 1433.76104
Dong, Jian
1
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Preserving the DAE structure in the Loewner model reduction and identification framework. Zbl 1437.65086
Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C.
1
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Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method. Zbl 1436.65169
An, Rong
1
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On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. Zbl 1437.35535
Greengard, Leslie; Jiang, Shidong; Wang, Jun
1
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The nonconforming virtual element method for fourth-order singular perturbation problem. Zbl 1436.65191
Zhang, Bei; Zhao, Jikun; Chen, Shaochun
1
2020
Worst-case optimal approximation with increasingly flat Gaussian kernels. Zbl 07189703
Karvonen, Toni; Särkkä, Simo
1
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Optimal frame designs for multitasking devices with weight restrictions. Zbl 1451.42039
Benac, María J.; Massey, Pedro; Ruiz, Mariano; Stojanoff, Demetrio
1
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A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
1
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An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Zbl 1436.65180
Giani, Stefano
1
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Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044
Benner, Peter; Werner, Steffen W. R.
1
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A boundary-partition-based Voronoi diagram of \(d\)-dimensional balls: definition, properties, and applications. Zbl 1451.52009
Duan, Xianglong; Quan, Chaoyu; Stamm, Benjamin
1
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High-order cut finite elements for the elastic wave equation. Zbl 1437.65144
Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla
1
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Multigrid preconditioners for anisotropic space-fractional diffusion equations. Zbl 1443.65122
Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken
1
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HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Zbl 1454.65158
Ali, Mazen; Urban, Karsten
1
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Local superconvergence of post-processed high-order finite volume element solutions. Zbl 1454.65145
He, Wenming; Zhang, Zhimin; Zou, Qingsong
1
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Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. Zbl 1454.65115
García-Archilla, Bosco; Novo, Julia
1
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Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. Zbl 07349365
Yang, Yidu; Zhang, Yu; Bi, Hai
1
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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
31
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Randomized algorithms for the approximations of Tucker and the tensor train decompositions. Zbl 1433.68600
Che, Maolin; Wei, Yimin
13
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The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
12
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Collocation methods for general Riemann-Liouville two-point boundary value problems. Zbl 1415.65168
Liang, Hui; Stynes, Martin
11
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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
10
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ADMM for monotone operators: convergence analysis and rates. Zbl 07055804
Boţ, Radu Ioan; Csetnek, Ernö Robert
7
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A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
7
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A deterministic sparse FFT for functions with structured Fourier sparsity. Zbl 1458.42002
Bittens, Sina; Zhang, Ruochuan; Iwen, Mark A.
6
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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
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Randomized model order reduction. Zbl 1418.65193
Alla, Alessandro; Kutz, J. Nathan
5
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Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws. Zbl 1435.65213
Yano, Masayuki
5
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Spectral collocation method for system of weakly singular Volterra integral equations. Zbl 1439.65226
Gu, Zhendong
5
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Algebraic-trigonometric Pythagorean-hodograph space curves. Zbl 1415.65045
Romani, Lucia; Montagner, Francesca
4
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Verified computation of the matrix exponential. Zbl 1447.65009
Miyajima, Shinya
4
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Developing and analyzing fourth-order difference methods for the metamaterial Maxwell’s equations. Zbl 1428.65011
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4
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Fast iterative solvers for an optimal transport problem. Zbl 1415.65070
Herzog, Roland; Pearson, John W.; Stoll, Martin
4
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Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
4
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Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions. Zbl 1430.65006
Wang, Jun; Greengard, Leslie
4
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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
4
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A new globally convergent algorithm for non-Lipschitz \(\ell_{p}-\ell_q\) minimization. Zbl 1415.49022
Liu, Zhifang; Wu, Chunlin; Zhao, Yanan
4
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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.
4
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\({\mathscr{H}} \)-matrix approximability of inverses of discretizations of the fractional Laplacian. Zbl 1435.65205
Karkulik, Michael; Melenk, Jens Markus
4
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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
4
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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
3
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The empirical Christoffel function with applications in data analysis. Zbl 1425.62079
Lasserre, Jean B.; Pauwels, Edouard
3
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Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems. Zbl 1415.35151
Jüngel, Ansgar; Leingang, Oliver
3
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Optimal approximation with exponential sums by a maximum likelihood modification of Prony’s method. Zbl 1415.65095
Zhang, Ran; Plonka, Gerlind
3
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Multiscale finite element calculations in Python using sfepy. Zbl 1433.65005
Cimrman, Robert; Lukeš, Vladimír; Rohan, Eduard
3
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A hierarchical a posteriori error estimator for the reduced basis method. Zbl 1435.65203
Hain, Stefan; Ohlberger, Mario; Radic, Mladjan; Urban, Karsten
3
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An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. Zbl 1435.65210
Taddei, Tommaso
3
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Analysis of parametric models. Linear methods and approximations. Zbl 1444.47080
Matthies, Hermann G.; Ohayon, Roger
3
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An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. Zbl 1418.65037
Bremer, James
2
2019
On a correction of a property of \(GC_{n}\) sets. Zbl 1414.41002
Hakopian, Hakop; Vardanyan, Vahagn
2
2019
Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2
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Nonlocal operators with local boundary conditions in higher dimensions. Zbl 1412.45017
Aksoylu, Burak; Celiker, Fatih; Kilicer, Orsan
2
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On the discontinuity of images recovered by noncovex nonsmooth regularized isotropic models with box constraints. Zbl 1415.49018
Zeng, Chao; Wu, Chunlin
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Extensions of planar GC sets and Syzygy matrices. Zbl 1423.41001
Carnicer, Jesús M.; Godés, Carmen
2
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Fokker-Planck equation driven by asymmetric Lévy motion. Zbl 1415.65201
Wang, Xiao; Shang, Wenpeng; Li, Xiaofan; Duan, Jinqiao; Huang, Yanghong
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Numerical modeling of wildland surface fire propagation by evolving surface curves. Zbl 1415.65206
Ambroz, Martin; Balažovjech, Martin; Medl’a, Matej; Mikula, Karol
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A certified model reduction approach for robust parameter optimization with PDE constraints. Zbl 07074893
Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan
2
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On error indicators for optimizing parameters in stabilized methods. Zbl 1426.65178
Knobloch, Petr; Lukáš, Petr; Solin, Pavel
2
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A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems. Zbl 1434.93011
Benner, Peter; Cao, Xingang; Schilders, Wil
2
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A transport-based multifidelity preconditioner for Markov chain Monte Carlo. Zbl 07179095
Peherstorfer, Benjamin; Marzouk, Youssef
2
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Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. Zbl 1435.65155
Dal Santo, Niccolò; Manzoni, Andrea
2
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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
2
2019
Computing images of polynomial maps. Zbl 1436.14099
Harris, Corey; Michałek, Mateusz; Sertöz, Emre Can
2
2019
Computing the closest real normal matrix and normal completion. Zbl 1434.65044
Guglielmi, Nicola; Scalone, Carmela
2
2019
Variational integrators for orbital problems using frequency estimation. Zbl 1414.49038
Kosmas, Odysseas; Leyendecker, Sigrid
1
2019
An algorithm for the evaluation of the incomplete gamma function. Zbl 1428.33002
Greengard, Philip; Rokhlin, Vladimir
1
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
1
2019
Higher order analysis of the geometry of singularities using the Taylorlet transform. Zbl 1423.42062
Fink, Thomas
1
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
1
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.
1
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
1
2019
Two numerical methods for the Zakharov-Rubenchik equations. Zbl 1415.65239
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming
1
2019
High dimensional finite elements for time-space multiscale parabolic equations. Zbl 1419.65071
Tan, Wee Chin; Hoang, Viet Ha
1
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Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112
Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard
1
2019
Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces. Zbl 1422.42049
Petersen, Philipp; Raslan, Mones
1
2019
Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature. Zbl 1415.65048
Hüning, Svenja; Wallner, Johannes
1
2019
Sparse power factorization: balancing peakiness and sample complexity. Zbl 1409.94813
Geppert, Jakob; Krahmer, Felix; Stöger, Dominik
1
2019
Boundary integral analysis for non-homogeneous, incompressible Stokes flows. Zbl 1426.65193
Gray, L. J.; Jakowski, Jas; Moore, M. N. J.; Ye, Wenjing
1
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
1
2019
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62 Peña, Juan Manuel
58 Farouki, Rida T.
53 Dehghan Takht Fooladi, Mehdi
53 Xu, Yuesheng
51 Chen, Yanping
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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
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23 Yang, Yidu
22 Zhang, Zhimin
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21 Xie, Hehu
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21 Zou, Qingsong
20 Charina, Maria
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20 Sbibih, Driss
20 Yan, Ningning
19 Alves, Carlos J. S.
19 Cao, Feilong
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19 Dahlke, Stephan
19 González-Vera, Pablo
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19 Kutyniok, Gitta
19 Li, Jichun
19 Lin, Shaobo
19 Sun, Hongwei
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18 Boţ, Radu Ioan
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18 Fasshauer, Gregory E.
18 Fornberg, Bengt
18 Hou, Yanren
18 Kansa, Edward J.
18 Li, Song
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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
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17 Griebel, Michael
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16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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