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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: 1,712 Publications (since 1993)
References Indexed: 1,410 Publications with 44,125 References.
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Latest Issues

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30, No. 4 (2009)
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30, No. 2 (2009)
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...and 82 more Volumes
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Authors

19 Xu, Yuesheng
16 Micchelli, Charles A.
16 Schaback, Robert
15 Peña, Juan Manuel
14 Benner, Peter
14 Farouki, Rida T.
12 Sauer, Tomas
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
9 Zhou, Dingxuan
8 Chui, Charles Kam-tai
8 Goodman, Timothy N. T.
8 Gugercin, Serkan
8 Wang, Lilian
8 Zhang, Zhimin
7 Chen, Zhangxin
7 Haasdonk, Bernard
7 Li, Jian
7 Lin, Qun
7 Martinsson, Per-Gunnar
7 Mhaskar, Hrushikesh N.
7 Sablonnière, Paul
7 Stynes, Martin Joseph
7 Yan, Ningning
7 Zhou, Aihui
6 Alla, Alessandro
6 Casazza, Peter George
6 Chen, Yanping
6 Dahlke, Stephan
6 Deng, Weihua
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 Mazure, Marie-Laurence
6 Melenk, Jens Markus
6 Noakes, Lyle
6 Reif, Ulrich
6 Romani, Lucia
6 Schwab, Christoph
6 Shen, Jie
6 Sloan, Ian Hugh
6 Sun, Qiyu
6 Urban, Karsten
6 Ward, Joseph Dinneen
6 Xu, Yuan
6 Ye, Xiu
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 Fasshauer, Gregory E.
5 Gasca, Mariano
5 Giannelli, Carlotta
5 Goh, Say Song
5 Han, Bin
5 He, Yinnian
5 Hiptmair, Ralf
5 Huang, Yunqing
5 Lai, Mingjun
5 Leviatan, Dany
5 Lyche, Tom
5 Mainar, Esmeralda
5 Manzoni, Andrea
5 Montijano, Juan Ignacio
5 Narcowich, Francis J.
5 Nataraj, Neela
5 Plonka, Gerlind
5 Pottmann, Helmut
5 Reichel, Lothar
5 Rozza, Gianluigi
5 Sestini, Alessandra
5 Stephan, Ernst Peter
5 Tornberg, Anna-Karin
5 Wang, Yang
5 Wendland, Holger
5 Werner, Steffen W. R.
5 Zimmermann, Ralf
4 Atkinson, Kendall Eugene
4 Bermúdez, Alfredo
4 Bozzini, Mira
4 Cao, Yanzhao
4 Chen, Chuanjun
4 Chien, David
4 Feichtinger, Hans Georg
4 Fickus, Matthew C.
...and 2,570 more Authors
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Fields

1,298 Numerical analysis (65-XX)
487 Partial differential equations (35-XX)
334 Approximations and expansions (41-XX)
212 Harmonic analysis on Euclidean spaces (42-XX)
154 Fluid mechanics (76-XX)
107 Computer science (68-XX)
81 Information and communication theory, circuits (94-XX)
74 Integral equations (45-XX)
73 Linear and multilinear algebra; matrix theory (15-XX)
67 Optics, electromagnetic theory (78-XX)
66 Ordinary differential equations (34-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
60 Operations research, mathematical programming (90-XX)
53 Mechanics of deformable solids (74-XX)
47 Systems theory; control (93-XX)
42 Statistics (62-XX)
41 Special functions (33-XX)
40 Probability theory and stochastic processes (60-XX)
37 Operator theory (47-XX)
35 Real functions (26-XX)
35 Functional analysis (46-XX)
33 Differential geometry (53-XX)
32 Functions of a complex variable (30-XX)
31 Biology and other natural sciences (92-XX)
29 Dynamical systems and ergodic theory (37-XX)
22 Global analysis, analysis on manifolds (58-XX)
20 Potential theory (31-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 Geophysics (86-XX)
14 General and overarching topics; collections (00-XX)
13 Number theory (11-XX)
13 Algebraic geometry (14-XX)
13 Geometry (51-XX)
12 Convex and discrete geometry (52-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Integral transforms, operational calculus (44-XX)
11 Mechanics of particles and systems (70-XX)
9 Combinatorics (05-XX)
9 Commutative algebra (13-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)
4 Algebraic topology (55-XX)
3 Group theory and generalizations (20-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Manifolds and cell complexes (57-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)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,443 Publications have been cited 21,804 times in 16,695 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
717
1995
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
522
1998
An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation. Zbl 0943.65017
Rippa, Shmuel
351
1999
Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007
Schaback, Robert
330
1995
Regularization networks and support vector machines. Zbl 0939.68098
Evgeniou, Theodoros; Pontil, Massimiliano; Poggio, Tomaso
222
2000
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
203
1996
High dimensional polynomial interpolation on sparse grids. Zbl 0944.41001
Barthelmann, Volker; Novak, Erich; Ritter, Klaus
201
2000
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
200
2016
A splitting algorithm for dual monotone inclusions involving cocoercive operators. Zbl 1284.47045
Vũ, Băng Công
181
2013
Finite normalized tight frames. Zbl 1028.42022
Benedetto, John J.; Fickus, Matthew
172
2003
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
149
1996
Compactly supported positive definite radial functions. Zbl 0837.41016
Wu, Zongmin
148
1995
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
146
2003
Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088
Franke, Carsten; Schaback, Robert
135
1998
A posteriori error estimates for distributed convex optimal control problems. Zbl 1008.49024
Liu, Wenbin; Yan, Ningning
131
2001
Polynomial interpolation in several variables. Zbl 0943.41001
Gasca, Mariano; Sauer, Thomas
121
2000
Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013
Carnicer, J. M.; Peña, J. M.
108
1993
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
107
2001
Solving differential equations with radial basis functions: Multilevel methods and smoothing. Zbl 0940.65122
Fasshauer, Gregory E.
105
1999
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
97
2011
Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024
Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo
92
2002
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
91
1998
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
89
2001
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
89
2003
The best \(m\)-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
87
1998
Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180
Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng
87
2012
Subdivision schemes in \(L_ p\) spaces. Zbl 0833.65148
Jia, Rong-Qing
86
1995
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
83
2006
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
82
2001
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.
78
2014
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
77
2000
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
75
2014
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
75
2004
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
74
1993
\(p\)-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
72
2003
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
70
2009
Pythagorean-hodograph space curves. Zbl 0829.65011
Farouki, Rida T.; Sakkalis, Takis
69
1994
A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123
Petzoldt, Martin
69
2002
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
68
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.
66
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.
66
2014
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
64
2016
Barycentric coordinates for convex polytopes. Zbl 0873.52013
Warren, Joe
63
1996
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
62
2002
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
62
2019
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
Mhaskar, H. N.
60
1993
Integration and approximation in arbitrary dimensions. Zbl 0939.41004
Hickernell, F. J.; Wozniakowski, H.
60
2000
Barycentric coordinates for convex sets. Zbl 1124.52010
Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu
59
2007
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099
Griebel, M.; Oswald, P.
58
1995
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
58
2005
The dual basis functions for the Bernstein polynomials. Zbl 0913.41004
Jüttler, Bert
57
1998
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
57
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.
55
1995
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
54
2010
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
54
2005
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
53
2020
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
52
2019
Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008
Marchi, Stefano; Schaback, Robert; Wendland, Holger
51
2005
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.
50
2009
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
49
2007
Blossoms and optimal bases. Zbl 1042.65016
Mazure, Marie-Laurence
49
2004
Randomized algorithms for the approximations of Tucker and the tensor train decompositions. Zbl 1433.68600
Che, Maolin; Wei, Yimin
49
2019
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
49
2018
Stable phase retrieval with low-redundancy frames. Zbl 1316.42035
Bodmann, Bernhard G.; Hammen, Nathaniel
48
2015
Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086
Tebou, Louis T.; Zuazua, Enrique
48
2007
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.
47
1996
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
47
2006
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
46
1997
Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079
Sun, Qiyu
46
2010
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
46
2007
\(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218
Lv, Junliang; Li, Yonghai
46
2010
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
46
2009
A fractional spectral method with applications to some singular problems. Zbl 1382.65467
Hou, Dianming; Xu, Chuanju
46
2017
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
45
2003
Multiwavelet frames from refinable function vectors. Zbl 1059.42030
Han, Bin; Mo, Qun
45
2003
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
44
2009
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
43
2008
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
43
2019
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
43
2018
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
42
1998
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Zbl 1118.65069
Casas, Eduardo
42
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
42
2003
Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028
Wu, Zong Min; Liu, Jian Ping
42
2005
An introduction to second degree forms. Zbl 0837.42009
Maroni, P.
41
1995
Stability of kernel-based interpolation. Zbl 1188.41001
De Marchi, Stefano; Schaback, Robert
41
2010
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
41
2001
Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
40
1996
Numerical solution of generalized Lyapunov equations. Zbl 0909.65026
Penzl, Thilo
40
1998
Evaluation of generalized Mittag-Leffler functions on the real line. Zbl 1272.33020
Garrappa, Roberto; Popolizio, Marina
40
2013
Computing breaking points in implicit delay differential equations. Zbl 1160.65041
Guglielmi, Nicola; Hairer, Ernst
40
2008
Second order unconditionally convergent and energy stable linearized scheme for MHD equations. Zbl 1388.76159
Zhang, Guo-Dong; Yang, Jinjin; Bi, Chunjia
40
2018
Error estimates for generalized barycentric interpolation. Zbl 1259.65013
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
39
2012
Toric surface patches. Zbl 0997.65027
Krasauskas, Rimvydas
39
2002
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
39
1997
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
39
2005
\(\varepsilon\)-subgradient algorithms for locally Lipschitz functions on Riemannian manifolds. Zbl 1338.49029
Grohs, P.; Hosseini, S.
39
2016
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
38
1995
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
38
1999
A Grassmann manifold handbook: basic geometry and computational aspects. Zbl 1532.53001
Bendokat, Thomas; Zimmermann, Ralf; Absil, P.-A.
4
2024
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system. Zbl 1544.65177
Wang, Meiting; Zou, Guang-an; Li, Jian
2
2024
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition. Zbl 1542.65131
Brivio, Simone; Fresca, Stefania; Franco, Nicola Rares; Manzoni, Andrea
2
2024
New low-order mixed finite element methods for linear elasticity. Zbl 1541.65156
Huang, Xuehai; Zhang, Chao; Zhou, Yaqian; Zhu, Yangxing
2
2024
An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system. Zbl 1545.35113
Li, Jian; Gao, Jiawei; Qin, Yi
1
2024
On relaxed inertial projection and contraction algorithms for solving monotone inclusion problems. Zbl 07896658
Tan, Bing; Qin, Xiaolong
1
2024
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations. Zbl 1544.65178
Yang, Huaijun; Li, Meng
1
2024
Error analysis of a collocation method on graded meshes for a fractional Laplacian problem. Zbl 1545.65513
Chen, Minghua; Deng, Weihua; Min, Chao; Shi, Jiankang; Stynes, Martin
1
2024
Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation. Zbl 1541.41018
Potts, Daniel; Weidensager, Laura
1
2024
Robust low tubal rank tensor recovery using discrete empirical interpolation method with optimized slice/feature selection. Zbl 1537.65050
Ahmadi-Asl, Salman; Phan, Anh-Huy; Caiafa, Cesar F.; Cichocki, Andrzej
1
2024
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization. Zbl 1537.49003
Langer, Ulrich; Steinbach, Olaf; Yang, Huidong
1
2024
Stability analysis for electromagnetic waveguides. II: Non-homogeneous waveguides. Zbl 07845580
Demkowicz, Leszek; Melenk, Jens M.; Badger, Jacob; Henneking, Stefan
1
2024
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems. Zbl 1543.49030
Ehring, Tobias; Haasdonk, Bernard
1
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On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. Zbl 1540.35080
Zhang, Hong; Zhang, Gengen; Liu, Ziyuan; Qian, Xu; Song, Songhe
1
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Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations. Zbl 1531.65256
Ye, Xiu; Zhang, Shangyou
1
2024
A fractional osmosis model for image fusion. Zbl 1531.94005
Hachama, Mohammed; Boutaous, Fatiha
1
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Dual frames compensating for erasures – a non-canonical case. Zbl 1540.42054
Arambašić, Ljiljana; Stoeva, Diana
1
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Analysis of a \(\boldsymbol{P}_1 \oplus \boldsymbol{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions. Zbl 1543.65195
Li, Hongpeng; Li, Xu; Rui, Hongxing
1
2024
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. Zbl 1536.93106
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
1
2024
Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations. Zbl 1549.65444
Moseley, Ben; Markham, Andrew; Nissen-Meyer, Tarje
28
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Small errors imply large evaluation instabilities. Zbl 1528.65010
Schaback, Robert
8
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Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. Zbl 07713020
Qiu, Wenlin
8
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An adaptive discontinuous finite volume element method for the Allen-Cahn equation. Zbl 07726213
Li, Jian; Zeng, Jiyao; Li, Rui
7
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Space-time error estimates for deep neural network approximations for differential equations. Zbl 07649348
Grohs, Philipp; Hornung, Fabian; Jentzen, Arnulf; Zimmermann, Philipp
6
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Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces. Zbl 1518.65030
Buccini, Alessandro; Reichel, Lothar
6
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An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. Zbl 1518.35562
Zou, Guang-an; Wang, Xuyang; Li, Jian
6
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Simpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositions. Zbl 07741460
Dong, Yijun; Martinsson, Per-Gunnar
6
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Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes. Zbl 1506.65190
Zhang, Yuqing; Wang, Xiang
4
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Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients. Zbl 1515.60253
Wang, Xiaojie
4
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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
4
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Uniqueness of phase retrieval from three measurements. Zbl 1521.30038
Jaming, Philippe; Rathmair, Martin
4
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State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203
Alla, Alessandro; Kalise, Dante; Simoncini, Valeria
3
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A new approach to proper orthogonal decomposition with difference quotients. Zbl 07667229
Eskew, Sarah Locke; Singler, John R.
3
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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
3
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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.
3
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High-order corrected trapezoidal rules for a class of singular integrals. Zbl 1520.65016
Izzo, Federico; Runborg, Olof; Tsai, Richard
3
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Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow. Zbl 1527.65136
Kohl, Ryan; Corona, Eduardo; Cheruvu, Vani; Veerapaneni, Shravan
3
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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
3
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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
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A mixed virtual element method for nearly incompressible linear elasticity equations. Zbl 1511.65122
Duan, Huoyuan; Li, Ziliang
2
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The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers. Zbl 1505.62519
Pu, Tianyi; Fasondini, Marco
2
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Exponential tractability of \(L_2\)-approximation with function values. Zbl 1515.65345
Krieg, David; Siedlecki, Paweł; Ullrich, Mario; Woźniakowski, Henryk
2
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Ternary image decomposition with automatic parameter selection via auto- and cross-correlation. Zbl 1515.94015
Girometti, Laura; Lanza, Alessandro; Morigi, Serena
2
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Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem. Zbl 07709692
Yang, Huaijun; Shi, Dongyang
2
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Splitting scheme for backward doubly stochastic differential equations. Zbl 1528.60065
Bao, Feng; Cao, Yanzhao; Zhang, He
2
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Max filtering with reflection groups. Zbl 1530.94008
Mixon, Dustin G.; Packer, Daniel
2
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Exponentially fitted methods with a local energy conservation law. Zbl 1522.65161
Conte, Dajana; Frasca-Caccia, Gianluca
2
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A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems. Zbl 1515.65076
Jiang, Yutong; Wu, Gang; Jiang, Long
2
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A posteriori virtual element method for the acoustic vibration problem. Zbl 1511.65125
Lepe, F.; Mora, D.; Rivera, G.; Velásquez, I.
1
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Generalised Wendland functions for the sphere. Zbl 1530.42003
Hubbert, Simon; Jäger, Janin
1
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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
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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
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Numerical exponential decay of thermoelastic waves connected in parallel. Zbl 07709688
Ramos, A. J. A.; Campelo, A. D. S.; Almeida Júnior, D. S.; Freitas, M. M.; Barbosa, R. C.
1
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Numerical analysis of the direct method for 3D Maxwell’s equation in Kerr-type nonlinear media. Zbl 1518.65084
Chen, Meng; Gao, Rong; He, Yan; Kong, Linghua
1
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A second-order scheme based on blended BDF for the incompressible MHD system. Zbl 1529.65074
Liu, Shuaijun; Huang, Pengzhan; He, Yinnian
1
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Toward a certified greedy Loewner framework with minimal sampling. Zbl 1530.30035
Pradovera, Davide
1
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On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems. Zbl 1545.65161
Miao, Cun-Qiang; Cheng, Lan
1
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A novel robust fractional-time anisotropic diffusion for multi-frame image super-resolution. Zbl 1527.35464
Ben-loghfyry, Anouar; Hakim, Abdelilah
1
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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
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Piecewise orthogonal collocation for computing periodic solutions of renewal equations. Zbl 1530.65069
Andò, Alessia; Breda, Dimitri
1
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Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration. Zbl 1530.65049
Chen, Kewang; Vuik, Cornelis
1
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Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator. Zbl 1531.65173
Ma, Shu; Wang, Jilu; Zhang, Mingyan; Zhang, Zhimin
1
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Geometric Hermite interpolation in \(\mathbb{R}^n\) by refinements. Zbl 1515.65049
Hofit, Ben-Zion Vardi; Nira, Dyn; Nir, Sharon
1
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New degrees of freedom for differential forms on cubical meshes. Zbl 1518.65133
Lohi, Jonni
1
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Phase retrieval and system identification in dynamical sampling via Prony’s method. Zbl 1519.94018
Beinert, Robert; Hasannasab, Marzieh
1
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Full recovery from point values: an optimal algorithm for Chebyshev approximability prior. Zbl 1525.41001
Foucart, Simon
1
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Adaptive finite element approximation of optimal control problems with the integral fractional Laplacian. Zbl 07726217
Zhou, Zhaojie; Wang, Qiming
1
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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
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A high-order algorithm for time-domain scattering in three dimensions. Zbl 1526.65042
Ganesh, M.; Le Louër, F.
1
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Error bounds for a least squares meshless finite difference method on closed manifolds. Zbl 1529.65108
Davydov, Oleg
1
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Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations. Zbl 1519.49033
Lin, Jia-Wei; Li, Tiexiang; Lin, Wen-Wei; Huang, Tsung-Ming
1
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A DCA-Newton method for quartic minimization over the sphere. Zbl 1519.49021
Hu, Shenglong; Wang, Yong; Zhou, Jinling
1
2023
A posteriori error estimates for wave maps into spheres. Zbl 1549.65261
Giesselmann, Jan; Mäder-Baumdicker, Elena; Stonner, David Jakob
1
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Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation. Zbl 1527.35383
Landoulsi, Oussama; Roudenko, Svetlana; Yang, Kai
1
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Directional wavelet packets originating from polynomial splines. Zbl 1529.41005
Averbuch, Amir; Neittaanmäki, Pekka; Zheludev, Valery
1
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Half-quadratic alternating direction method of multipliers for robust orthogonal tensor approximation. Zbl 1518.90086
Yang, Yuning; Feng, Yunlong
1
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Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs. Zbl 1502.65170
De Ryck, Tim; Mishra, Siddhartha
19
2022
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.
18
2022
Persistence curves: a canonical framework for summarizing persistence diagrams. Zbl 1497.55008
Chung, Yu-Min; Lawson, Austin
8
2022
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. Zbl 07506442
Stevenson, Rob; van Venetië, Raymond; Westerdiep, Jan
8
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
7
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.
6
2022
Optimal control for a coupled spin-polarized current and magnetization system. Zbl 1493.35112
An, Xin; Majee, Ananta K.; Prohl, Andreas; Tran, Thanh
6
2022
Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). Zbl 1492.65067
Mainar, E.; Peña, J. M.; Rubio, B.
6
2022
On basis constructions in finite element exterior calculus. Zbl 1486.65255
Licht, Martin W.
6
2022
A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. Zbl 1537.65124
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao
6
2022
Approximation of functions from korobov spaces by deep convolutional neural networks. Zbl 07634934
Mao, Tong; Zhou, Ding-Xuan
5
2022
Tensor rank bounds for point singularities in \(\mathbb{R}^3\). Zbl 1487.35019
Marcati, C.; Rakhuba, M.; Schwab, Ch.
5
2022
Stabilization of spline bases by extension. Zbl 1504.41007
Chu, Ba-Duong; Martin, Florian; Reif, Ulrich
5
2022
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. Zbl 1502.65162
Li, Xin; Zhang, Luming
5
2022
Rectangular eigenvalue problems. Zbl 1510.65065
Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N.
4
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
4
2022
Design and analysis of the extended hybrid high-order method for the Poisson problem. Zbl 1493.65236
Yemm, Liam
4
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
4
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
4
2022
Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier-Stokes equations. Zbl 07608423
Jiang, Nan; Yang, Huanhuan
4
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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
4
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A generalisation of de la Vallée-Poussin procedure to multivariate approximations. Zbl 1482.41022
Sukhorukova, Nadezda; Ugon, Julien
4
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A structure-preserving algorithm for surface water flows with transport processes. Zbl 1489.65128
Karjoun, Hasan; Beljadid, Abdelaziz; LeFloch, Philippe G.
3
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66 Farouki, Rida T.
65 Zhou, Dingxuan
63 Huang, Yunqing
63 Shi, Dongyang
61 Xu, Yuesheng
58 Karageorghis, Andreas
53 Han, Bin
49 Chen, Wen
49 He, Yinnian
49 Li, Yunzhang
47 Shang, Yueqiang
46 Schaback, Robert
44 Mazure, Marie-Laurence
43 Sauer, Tomas
41 Zhang, Shangyou
40 Han, Deguang
40 Temlyakov, Vladimir Nikolaevich
38 Benner, Peter
38 Li, Jian
38 Schwab, Christoph
38 Sun, Qiyu
38 Zhang, Zhimin
37 Ling, Leevan
37 Manni, Carla
36 Guo, Ben-Yu
35 Carnicer, Jésus Miguel
35 Conti, Costanza
35 He, Xiaoming
35 Ye, Xiu
34 Lesnic, Daniel
34 Mu, Lin
34 Romani, Lucia
34 Speleers, Hendrik
34 Yang, Yidu
33 Feng, Xinlong
33 Wang, Zhongqing
32 Casazza, Peter George
32 Jüttler, Bert
32 Krajnc, Marjeta
31 Giannelli, Carlotta
31 Li, Jichun
31 Wendland, Holger
31 Young, Der-Liang
30 Cavoretto, Roberto
30 Hon, Yiu-Chung
30 Lin, Tao
30 Mhaskar, Hrushikesh N.
30 Sloan, Ian Hugh
29 Rozza, Gianluigi
28 Amat Plata, Sergio
28 Chen, Zhangxin
28 Feng, Minfu
28 Gu, Yan
28 Hou, Yanren
28 Lin, Shaobo
28 Wang, Lilian
28 Wu, Zongmin
28 Zhang, Tong
27 Fasshauer, Gregory E.
27 Harbrecht, Helmut
27 Kutyniok, Gitta
27 Marin, Liviu
27 Pasadas, Miguel
27 Shen, Zuowei
27 Siraj-ul-Islam
27 Wei, Yimin
26 Bi, Hai
26 Brugnano, Luigi
26 Mainar, Esmeralda
26 Vianello, Marco
26 Wang, Junping
25 Chui, Charles Kam-tai
25 D’Ambrosio, Raffaele
25 De Marchi, Stefano
25 De Rossi, Alessandra
25 Li, Yonghai
25 Li, Zi-Cai
25 Sheng, Baohuai
24 Abbaszadeh, Mostafa
24 Beirão da Veiga, Lourenço
24 Du, Guangzhi
24 Haasdonk, Bernard
24 Li, Huiyuan
24 Steidl, Gabriele
24 Stevenson, Rob P.
24 Xie, Hehu
24 Xu, Fei
24 Zheng, Bo
23 Chen, Dirong
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23 Manzini, Gianmarco
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