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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: https://link.springer.com/journal/10444/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,619 Publications (since 1993)
References Indexed: 1,317 Publications with 40,096 References.
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Latest Issues

50, No. 2 (2024)
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29, No. 3 (2008)
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29, No. 1 (2008)
28, No. 4 (2008)
...and 77 more Volumes
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Authors

19 Xu, Yuesheng
16 Micchelli, Charles A.
16 Schaback, Robert
15 Peña, Juan Manuel
14 Farouki, Rida T.
12 Sauer, Tomas
11 Benner, Peter
11 Carnicer, Jésus Miguel
11 Guo, Ben-Yu
10 Floater, Michael S.
10 Schumaker, Larry L.
9 Christensen, Ole
9 Kim, Hong Oh
9 Li, Xin
9 Temlyakov, Vladimir Nikolaevich
8 Chui, Charles Kam-tai
8 Goodman, Timothy N. T.
7 Chen, Zhangxin
7 Gugercin, Serkan
7 Lin, Qun
7 Mhaskar, Hrushikesh N.
7 Sablonnière, Paul
7 Wang, Lilian
7 Yan, Ningning
7 Zhang, Zhimin
7 Zhou, Aihui
7 Zhou, Dingxuan
6 Casazza, Peter George
6 Chen, Yanping
6 Domínguez, Víctor
6 Grohs, Philipp
6 Hinze, Michael
6 Hu, Qiya
6 Jiang, Qingtang
6 Jüttler, Bert
6 Kim, Rae Young
6 Le Gia, Quoc Thong
6 Manni, Carla
6 Martinsson, Per-Gunnar
6 Mazure, Marie-Laurence
6 Noakes, Lyle
6 Romani, Lucia
6 Sloan, Ian Hugh
6 Stynes, Martin Joseph
6 Sun, Qiyu
6 Urban, Karsten
6 Ward, Joseph Dinneen
6 Xu, Yuan
6 Ye, Xiu
5 Alla, Alessandro
5 Burrage, Kevin
5 Calvo, Manuel
5 Chen, Zhongying
5 Conti, Costanza
5 Costantini, Paolo Giuseppe
5 Cotronei, Mariantonia
5 Cuyt, Annie A. M.
5 Dahlke, Stephan
5 Fasshauer, Gregory E.
5 Gasca, Mariano
5 Giannelli, Carlotta
5 Goh, Say Song
5 Haasdonk, Bernard
5 Han, Bin
5 He, Yinnian
5 Huang, Yunqing
5 Leviatan, Dany
5 Li, Jian
5 Lyche, Tom
5 Mainar, Esmeralda
5 Melenk, Jens Markus
5 Montijano, Juan Ignacio
5 Narcowich, Francis J.
5 Nataraj, Neela
5 Plonka, Gerlind
5 Pottmann, Helmut
5 Reichel, Lothar
5 Reif, Ulrich
5 Rozza, Gianluigi
5 Sestini, Alessandra
5 Stephan, Ernst Peter
5 Tornberg, Anna-Karin
5 Wang, Yang
5 Wendland, Holger
4 Atkinson, Kendall Eugene
4 Bozzini, Mira
4 Chen, Chuanjun
4 Chien, David
4 Deng, Weihua
4 Feichtinger, Hans Georg
4 Fickus, Matthew C.
4 Gemignani, Luca
4 Greengard, Leslie F.
4 Guglielmi, Nicola
4 Guo, Zheng-Chu
4 Hakopian, Hakop A.
4 Hansen, Olaf
4 Hiptmair, Ralf
4 Hon, Yiu-Chung
4 Jia, Rong-Qing
...and 2,395 more Authors
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Fields

1,216 Numerical analysis (65-XX)
449 Partial differential equations (35-XX)
323 Approximations and expansions (41-XX)
206 Harmonic analysis on Euclidean spaces (42-XX)
139 Fluid mechanics (76-XX)
95 Computer science (68-XX)
80 Information and communication theory, circuits (94-XX)
73 Integral equations (45-XX)
66 Ordinary differential equations (34-XX)
65 Linear and multilinear algebra; matrix theory (15-XX)
59 Optics, electromagnetic theory (78-XX)
57 Calculus of variations and optimal control; optimization (49-XX)
55 Operations research, mathematical programming (90-XX)
51 Mechanics of deformable solids (74-XX)
40 Special functions (33-XX)
40 Systems theory; control (93-XX)
37 Statistics (62-XX)
35 Operator theory (47-XX)
34 Functional analysis (46-XX)
33 Real functions (26-XX)
32 Probability theory and stochastic processes (60-XX)
31 Biology and other natural sciences (92-XX)
30 Functions of a complex variable (30-XX)
30 Differential geometry (53-XX)
28 Dynamical systems and ergodic theory (37-XX)
18 Potential theory (31-XX)
17 Global analysis, analysis on manifolds (58-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Geophysics (86-XX)
14 General and overarching topics; collections (00-XX)
13 Geometry (51-XX)
12 Number theory (11-XX)
12 Algebraic geometry (14-XX)
12 Convex and discrete geometry (52-XX)
11 Integral transforms, operational calculus (44-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Combinatorics (05-XX)
9 Commutative algebra (13-XX)
9 Mechanics of particles and systems (70-XX)
8 Difference and functional equations (39-XX)
8 Quantum theory (81-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 History and biography (01-XX)
4 Field theory and polynomials (12-XX)
3 Group theory and generalizations (20-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-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 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,362 Publications have been cited 19,737 times in 15,065 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.
1996
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Zbl 0838.41014
Wendland, Holger
646
1995
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
502
1998
An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation. Zbl 0943.65017
Rippa, Shmuel
327
1999
Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007
Schaback, Robert
307
1995
Regularization networks and support vector machines. Zbl 0939.68098
Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso
218
2000
High dimensional polynomial interpolation on sparse grids. Zbl 0944.41001
Barthelmann, Volker; Novak, Erich; Ritter, Klaus
192
2000
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
190
1996
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
175
2016
Finite normalized tight frames. Zbl 1028.42022
Benedetto, John J.; Fickus, Matthew
158
2003
A splitting algorithm for dual monotone inclusions involving cocoercive operators. Zbl 1284.47045
Vũ, Băng Công
151
2013
Compactly supported positive definite radial functions. Zbl 0837.41016
Wu, Zongmin
143
1995
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
139
2003
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
130
1996
Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088
Franke, Carsten; Schaback, Robert
129
1998
A posteriori error estimates for distributed convex optimal control problems. Zbl 1008.49024
Liu, Wenbin; Yan, Ningning
127
2001
Polynomial interpolation in several variables. Zbl 0943.41001
Gasca, Mariano; Sauer, Thomas
112
2000
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
105
2001
Solving differential equations with radial basis functions: Multilevel methods and smoothing. Zbl 0940.65122
Fasshauer, Gregory E.
102
1999
Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013
Carnicer, J. M.; Peña, J. M.
96
1993
Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024
Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo
90
2002
Subdivision schemes in \(L_ p\) spaces. Zbl 0833.65148
Jia, Rong-Qing
85
1995
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
85
2001
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
84
1998
The best \(m\)-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
82
1998
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
81
2003
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
79
2001
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
79
2011
Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180
Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng
77
2012
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
72
1993
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
72
2004
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
72
2000
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
71
2006
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
70
2014
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.
69
2014
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
68
2002
Pythagorean-hodograph space curves. Zbl 0829.65011
Farouki, Rida T.; Sakkalis, Takis
68
1994
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
65
2009
\(p\)-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
65
2003
A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123
Petzoldt, Martin
64
2002
Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Zbl 0940.65011
Beatson, R. K.; Cherrie, J. B.; Mouat, C. T.
63
1999
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.
61
2014
Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.
60
1995
Integration and approximation in arbitrary dimensions. Zbl 0939.41004
Hickernell, F. J.; Wozniakowski, H.
60
2000
Barycentric coordinates for convex polytopes. Zbl 0873.52013
Warren, Joe
59
1996
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
58
2002
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
57
2005
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099
Griebel, M.; Oswald, P.
56
1995
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
56
1993
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
56
2001
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
55
2019
Barycentric coordinates for convex sets. Zbl 1124.52010
Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu
54
2007
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
54
2016
The dual basis functions for the Bernstein polynomials. Zbl 0913.41004
Jüttler, Bert
53
1998
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
52
2010
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
51
2005
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
50
2003
Quadratic spline quasi-interpolants on Powell-Sabin partitions. Zbl 1116.65008
Manni, Carla; Sablonnière, Paul
47
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.
46
2009
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
46
2019
Blossoms and optimal bases. Zbl 1042.65016
Mazure, Marie-Laurence
46
2004
Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079
Sun, Qiyu
45
2010
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
45
2006
Stable phase retrieval with low-redundancy frames. Zbl 1316.42035
Bodmann, Bernhard G.; Hammen, Nathaniel
45
2015
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
45
1997
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
44
2008
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
44
2007
Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008
Marchi, Stefano; Schaback, Robert; Wendland, Holger
44
2005
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
43
2009
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
43
2009
Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086
Tebou, Louis T.; Zuazua, Enrique
42
2007
\(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218
Lv, Junliang; Li, Yonghai
42
2010
Multiwavelet frames from refinable function vectors. Zbl 1059.42030
Han, Bin; Mo, Qun
42
2003
Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087
Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu
42
2003
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.
42
1996
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
41
2003
Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028
Wu, Zong Min; Liu, Jian Ping
41
2005
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
40
1998
Computing breaking points in implicit delay differential equations. Zbl 1160.65041
Guglielmi, Nicola; Hairer, Ernst
40
2008
Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
40
1996
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
39
2020
Stability of kernel-based interpolation. Zbl 1188.41001
De Marchi, Stefano; Schaback, Robert
39
2010
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
39
2001
An introduction to second degree forms. Zbl 0837.42009
Maroni, P.
39
1995
Error estimates for generalized barycentric interpolation. Zbl 1259.65013
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
39
2012
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Zbl 1404.65188
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia
39
2018
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
38
1997
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
38
2005
Toric surface patches. Zbl 0997.65027
Krasauskas, Rimvydas
37
2002
Some results about numerical quadrature on the unit circle. Zbl 0856.41025
González-Vera, Pablo; Santos-León, J. C.; Njåstad, Olav
37
1996
How good can polynomial interpolation on the sphere be? Zbl 0980.41003
Womersley, Robert S.; Sloan, Ian H.
37
2001
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Zbl 1118.65069
Casas, Eduardo
36
2007
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
36
1995
Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions. Zbl 1448.65122
Wang, Tingchun; Zhao, Xiaofei; Jiang, Jiaping
36
2018
Evaluation of generalized Mittag-Leffler functions on the real line. Zbl 1272.33020
Garrappa, Roberto; Popolizio, Marina
36
2013
Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties. Zbl 1018.42020
Paluszyński, Maciej; Šikić, Hrvoje; Weiss, Guido; Xiao, Shaoliang
36
2003
Laguerre minimal surfaces, isotropic geometry and linear elasticity. Zbl 1425.65034
Pottmann, Helmut; Grohs, Philipp; Mitra, Niloy J.
35
2009
Numerical solution of generalized Lyapunov equations. Zbl 0909.65026
Penzl, Thilo
35
1998
Spherical wavelet transform and its discretization. Zbl 0858.44005
Freeden, Willi; Windheuser, Ulrich
35
1996
Second order unconditionally convergent and energy stable linearized scheme for MHD equations. Zbl 1388.76159
Zhang, Guo-Dong; Yang, Jinjin; Bi, Chunjia
35
2018
Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations. Zbl 07726220
Moseley, Ben; Markham, Andrew; Nissen-Meyer, Tarje
10
2023
Space-time error estimates for deep neural network approximations for differential equations. Zbl 07649348
Grohs, Philipp; Hornung, Fabian; Jentzen, Arnulf; Zimmermann, Philipp
4
2023
A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation. Zbl 1514.35352
Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi
3
2023
Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces. Zbl 1518.65030
Buccini, Alessandro; Reichel, Lothar
3
2023
Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes. Zbl 1506.65190
Zhang, Yuqing; Wang, Xiang
2
2023
Exponential tractability of \(L_2\)-approximation with function values. Zbl 1515.65345
Krieg, David; Siedlecki, Paweł; Ullrich, Mario; Woźniakowski, Henryk
2
2023
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. Zbl 1518.35562
Zou, Guang-an; Wang, Xuyang; Li, Jian
2
2023
Linear multi-step methods and their numerical stability for solving gradient flow equations. Zbl 1520.65064
Huang, Qiong-Ao; Jiang, Wei; Yang, Jerry Zhijian; Zhang, Gengen
2
2023
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow. Zbl 1527.65136
Kohl, Ryan; Corona, Eduardo; Cheruvu, Vani; Veerapaneni, Shravan
2
2023
Numerical computation of a preimage domain for an infinite strip with rectilinear slits. Zbl 1508.30018
Kalmoun, El Mostafa; Nasser, Mohamed M. S.; Vuorinen, Matti
1
2023
The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers. Zbl 1505.62519
Pu, Tianyi; Fasondini, Marco
1
2023
State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203
Alla, Alessandro; Kalise, Dante; Simoncini, Valeria
1
2023
A new approach to proper orthogonal decomposition with difference quotients. Zbl 07667229
Eskew, Sarah Locke; Singler, John R.
1
2023
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms. Zbl 1516.65144
Zampa, Enrico; Alonso Rodríguez, Ana; Rapetti, Francesca
1
2023
Random sampling of signals concentrated on compact set in localized reproducing kernel subspace of \(L^p (\mathbb{R}^n)\). Zbl 1528.94017
Patel, Dhiraj; Sivananthan, S.
1
2023
On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems. Zbl 07773317
Miao, Cun-Qiang; Cheng, Lan
1
2023
Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method. Zbl 1527.35482
Wen, Jin; Li, Zhi-Yuan; Wang, Yong-Ping
1
2023
Max filtering with reflection groups. Zbl 1530.94008
Mixon, Dustin G.; Packer, Daniel
1
2023
Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation. Zbl 1527.35383
Landoulsi, Oussama; Roudenko, Svetlana; Yang, Kai
1
2023
Directional wavelet packets originating from polynomial splines. Zbl 1529.41005
Averbuch, Amir; Neittaanmäki, Pekka; Zheludev, Valery
1
2023
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. Zbl 1512.65221
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio
1
2023
Small errors imply large evaluation instabilities. Zbl 1528.65010
Schaback, Robert
1
2023
A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. Zbl 1514.35120
Spence, E. A.
1
2023
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. Zbl 07713020
Qiu, Wenlin
1
2023
Uniqueness of phase retrieval from three measurements. Zbl 1521.30038
Jaming, Philippe; Rathmair, Martin
1
2023
An adaptive discontinuous finite volume element method for the Allen-Cahn equation. Zbl 07726213
Li, Jian; Zeng, Jiyao; Li, Rui
1
2023
Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem. Zbl 1520.35120
Lepe, Felipe
1
2023
Numerical analysis of nonlinear degenerate parabolic problems with application to eddy current models. Zbl 1520.65067
Acevedo, Ramiro; Gómez, Christian; Navia, Paulo
1
2023
The role of mesh quality and mesh quality indicators in the virtual element method. Zbl 1491.65151
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
13
2022
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs. Zbl 1502.65170
De Ryck, Tim; Mishra, Siddhartha
11
2022
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. Zbl 07506442
Stevenson, Rob; van Venetië, Raymond; Westerdiep, Jan
7
2022
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. Zbl 1502.65162
Li, Xin; Zhang, Luming
4
2022
A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes. Zbl 1492.65322
Li, Yang; Feng, Minfu; Luo, Yan
4
2022
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? Zbl 1492.65090
Marchand, P.; Galkowski, J.; Spence, E. A.; Spence, A.
4
2022
Tensor rank bounds for point singularities in \(\mathbb{R}^3\). Zbl 1487.35019
Marcati, C.; Rakhuba, M.; Schwab, Ch.
4
2022
Stabilization of spline bases by extension. Zbl 1504.41007
Chu, Ba-Duong; Martin, Florian; Reif, Ulrich
4
2022
Persistence curves: a canonical framework for summarizing persistence diagrams. Zbl 1497.55008
Chung, Yu-Min; Lawson, Austin
4
2022
Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). Zbl 1492.65067
Mainar, E.; Peña, J. M.; Rubio, B.
3
2022
An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane. Zbl 1492.65358
Gopal, Abinand; Martinsson, Per-Gunnar
3
2022
A generalisation of de la Vallée-Poussin procedure to multivariate approximations. Zbl 1482.41022
Sukhorukova, Nadezda; Ugon, Julien
3
2022
Finding geodesics joining given points. Zbl 1503.53083
Noakes, Lyle; Zhang, Erchuan
2
2022
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. Zbl 1498.76052
Ding, Qianqian; Mao, Shipeng; Sun, Jiaao
2
2022
Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow. Zbl 1500.65009
Nitsche, Monika
2
2022
Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. Zbl 1501.65012
Nasser, Mohamed; Rainio, Oona; Rasila, Antti; Vuorinen, Matti; Wallace, Terry; Yu, Hang; Zhang, Xiaohui
2
2022
Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime. Zbl 1502.65082
Zhang, Teng; Wang, Tingchun
2
2022
Numerical algorithms for water waves with background flow over obstacles and topography. Zbl 1493.76071
Ambrose, David M.; Camassa, Roberto; Marzuola, Jeremy L.; McLaughlin, Richard M.; Robinson, Quentin; Wilkening, Jon
2
2022
Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier-Stokes equations. Zbl 07608423
Jiang, Nan; Yang, Huanhuan
2
2022
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Zbl 07618976
Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario
2
2022
Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. Zbl 1501.65102
Arrutselvi, M.; Natarajan, E.; Natarajan, S.
2
2022
Optimal control for a coupled spin-polarized current and magnetization system. Zbl 1493.35112
An, Xin; Majee, Ananta K.; Prohl, Andreas; Tran, Thanh
2
2022
One-step optimization method for equilibrium problems. Zbl 1492.65182
Van Hieu, Dang; Muu, Le Dung; Quy, Pham Kim
2
2022
H2Opus: a distributed-memory multi-GPU software package for non-local operators. Zbl 1492.65003
Zampini, Stefano; Boukaram, Wajih; Turkiyyah, George; Knio, Omar; Keyes, David
2
2022
Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations. Zbl 1504.65185
Guichard, Cindy; Quenjel, El Houssaine
2
2022
Approximation of functions from korobov spaces by deep convolutional neural networks. Zbl 07634934
Mao, Tong; Zhou, Ding-Xuan
2
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Computing the reciprocal of a \(\phi\)-function by rational approximation. Zbl 1481.65069
Boito, Paola; Eidelman, Yuli; Gemignani, Luca
2
2022
Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization. Zbl 1481.65209
Borges, Carlos; Rachh, Manas
2
2022
An adaptive kernel-split quadrature method for parameter-dependent layer potentials. Zbl 1483.65038
Fryklund, Fredrik; af Klinteberg, Ludvig; Tornberg, Anna-Karin
2
2022
A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. Zbl 07506441
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao
2
2022
The essence of invertible frame multipliers in scalability. Zbl 1491.42044
Javanshiri, Hossein; Abolghasemi, Mohammad; Arefijamaal, Ali Akbar
2
2022
A fast solver for elastic scattering from axisymmetric objects by boundary integral equations. Zbl 1490.35111
Lai, J.; Dong, H.
2
2022
Numerical analysis of a chemotaxis model for tumor invasion. Zbl 1492.35376
Pérez-López, Jhean E.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J.
2
2022
A structure-preserving algorithm for surface water flows with transport processes. Zbl 1489.65128
Karjoun, Hasan; Beljadid, Abdelaziz; LeFloch, Philippe G.
2
2022
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations. Zbl 1492.65321
Liu, Ying; Guan, Zhen; Nie, Yufeng
1
2022
Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations. Zbl 1492.65310
Hao, Tingting; Ma, Manman; Xu, Xuejun
1
2022
Nonsmooth data optimal error estimates by energy arguments for subdiffusion equations with memory. Zbl 07572766
Mahata, Shantiram; Sinha, Rajen Kumar
1
2022
\({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Zbl 1502.65199
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
1
2022
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects. Zbl 1498.35216
Stein, David B.; Barnett, Alex H.
1
2022
Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems. Zbl 1497.35149
Alves, Carlos J. S.; Martins, Nuno F. M.; Silvestre, Ana L.
1
2022
Interpolation of 3D data streams with \(C^2\) PH quintic splines. Zbl 07608419
Giannelli, Carlotta; Sacco, Lorenzo; Sestini, Alessandra
1
2022
Hermite interpolation by planar cubic-like ATPH. Zbl 07608422
Bay, Thierry; Cattiaux-Huillard, Isabelle; Saini, Laura
1
2022
Optimized Ventcel-Schwarz methods for the Cahn-Hilliard equation discretized by the stabilized linear Crank-Nicolson scheme. Zbl 1501.65017
Sun, Yafei; Xu, Yingxiang; Wang, Shuangbin; Gao, Shan
1
2022
Convergence of consistent and inconsistent schemes for fractional diffusion problems with boundaries. Zbl 07608426
Sousa, Ercília
1
2022
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations. Zbl 1505.35108
Peralta, Gilbert
1
2022
Nonlocal optimized Schwarz methods for time-harmonic electromagnetics. Zbl 1501.65149
Claeys, Xavier; Collino, Francis; Parolin, Emile
1
2022
Data-driven uncertainty quantification in macroscopic traffic flow models. Zbl 1501.35460
Würth, Alexandra; Binois, Mickaël; Goatin, Paola; Göttlich, Simone
1
2022
Fast gradient methods for uniformly convex and weakly smooth problems. Zbl 1489.90125
Park, Jongho
1
2022
Rectangular eigenvalue problems. Zbl 1510.65065
Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N.
1
2022
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation. Zbl 1504.65169
Cao, Dewei; Chen, Hu
1
2022
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes. Zbl 07462022
Gemignani, Luca; Romani, Lucia; Viscardi, Alberto
1
2022
Complex-scaled infinite elements for resonance problems in heterogeneous open systems. Zbl 1493.65225
Nannen, Lothar; Wess, Markus
1
2022
Wavelet adaptive proper orthogonal decomposition for large-scale flow data. Zbl 07506435
Krah, Philipp; Engels, Thomas; Schneider, Kai; Reiss, Julius
1
2022
Convergence analysis of oversampled collocation boundary element methods in 2D. Zbl 1487.65188
Maierhofer, Georg; Huybrechs, Daan
1
2022
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. Zbl 1490.90213
Ma, Xijun; Shen, Chungen; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang
1
2022
On basis constructions in finite element exterior calculus. Zbl 1486.65255
Licht, Martin W.
1
2022
Implicit finite volume method with a posteriori limiting for transport networks. Zbl 07523515
Eimer, Matthias; Borsche, Raul; Siedow, Norbert
1
2022
Development and analysis of two new finite element schemes for a time-domain carpet cloak model. Zbl 1487.78031
Li, Jichun; Shu, Chi-Wang; Yang, Wei
1
2022
Randomized continuous frames in time-frequency analysis. Zbl 1493.42049
Levie, Ron; Avron, Haim
1
2022
\(p\)- and \(hp\)-virtual elements for the Stokes problem. Zbl 1475.65187
Chernov, A.; Marcati, C.; Mascotto, L.
17
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
16
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
16
2021
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. Zbl 1496.65184
Qiao, Leijie; Xu, Da
15
2021
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs. Zbl 1472.65134
Laakmann, Fabian; Petersen, Philipp
12
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
11
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
10
2021
A family of \(C^1\) quadrilateral finite elements. Zbl 1480.65339
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
9
2021
Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators. Zbl 1473.65022
Wu, Bowei; Martinsson, Per-Gunnar
9
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
8
2021
Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation. Zbl 1465.65036
Balabanov, Oleg; Nouy, Anthony
8
2021
Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007
Buckwar, Evelyn; D’Ambrosio, Raffaele
8
2021
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1482.65199
Zheng, Nan; Li, Xiaoli
7
2021
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69 Qian, Tao
64 Farouki, Rida T.
60 Xu, Yuesheng
59 Huang, Yunqing
57 Chen, Ching-Shyang
56 Karageorghis, Andreas
55 Zhou, Dingxuan
50 Shi, Dongyang
48 Chen, Wen
48 He, Yinnian
43 Mazure, Marie-Laurence
43 Schaback, Robert
42 Shang, Yueqiang
41 Sauer, Tomas
39 Han, Deguang
39 Li, Yunzhang
38 Sun, Qiyu
38 Temlyakov, Vladimir Nikolaevich
36 Guo, Ben-Yu
36 Manni, Carla
35 Carnicer, Jésus Miguel
35 Conti, Costanza
35 Han, Bin
35 Li, Jian
35 Zhang, Zhimin
34 Lesnic, Daniel
34 Schwab, Christoph
33 Benner, Peter
33 He, Xiaoming
33 Speleers, Hendrik
32 Jüttler, Bert
31 Casazza, Peter George
31 Krajnc, Marjeta
31 Ling, Leevan
31 Romani, Lucia
31 Ye, Xiu
31 Zhang, Shangyou
30 Giannelli, Carlotta
30 Lin, Tao
30 Mu, Lin
30 Wang, Zhongqing
30 Wendland, Holger
30 Yang, Yidu
29 Feng, Xinlong
29 Hon, Yiu-Chung
29 Mhaskar, Hrushikesh N.
29 Sloan, Ian Hugh
29 Young, Der-Liang
28 Amat Plata, Sergio
28 Li, Jichun
28 Wu, Zongmin
27 Gu, Yan
27 Marin, Liviu
27 Pasadas, Miguel
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27 Shen, Zuowei
26 Fasshauer, Gregory E.
26 Hou, Yanren
26 Siraj-ul-Islam
25 Chui, Charles Kam-tai
25 Kutyniok, Gitta
25 Lin, Shaobo
25 Wang, Junping
25 Wang, Lilian
24 Bi, Hai
24 Brugnano, Luigi
24 Cavoretto, Roberto
24 Chen, Zhangxin
24 D’Ambrosio, Raffaele
24 Feng, Minfu
24 Harbrecht, Helmut
24 Stevenson, Rob P.
24 Xie, Hehu
23 Chen, Dirong
23 Jiang, Qingtang
23 Li, Huiyuan
23 Li, Zi-Cai
23 Sestini, Alessandra
23 Steidl, Gabriele
23 Vianello, Marco
22 Du, Guangzhi
22 Li, Yonghai
22 Wang, Tianjun
22 Xu, Fei
22 Xu, Jinchao
22 Zhang, Tong
22 Zou, Qingsong
21 Abbaszadeh, Mostafa
21 Adjerid, Slimane
21 Alves, Carlos J. S.
21 Beirão da Veiga, Lourenço
21 Chen, Zhongying
21 De Marchi, Stefano
21 Fu, Zhuojia
21 Han, Xuli
21 Kwak, Do Young
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