### Modelling in Science and Engineering

 Short Title: Adv. Comput. Math. Publisher: Springer US, New York, NY ISSN: 1019-7168; 1572-9044/e Online: http://link.springer.com/journal/volumesAndIssues/10444 Comments: Indexed cover-to-cover
 Documents Indexed: 1,446 Publications (since 1993) References Indexed: 1,142 Publications with 32,936 References.
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### Authors

 19 Xu, Yuesheng 16 Micchelli, Charles A. 15 Schaback, Robert 14 Farouki, Rida T. 13 Peña, Juan Manuel 11 Guo, Ben-Yu 11 Sauer, Tomas 10 Benner, Peter 10 Carnicer, Jésus Miguel 10 Floater, Michael S. 10 Schumaker, Larry L. 9 Christensen, Ole 9 Kim, Hong Oh 9 Temlyakov, Vladimir Nikolaevich 8 Chui, Charles Kam-tai 8 Goodman, Timothy N. T. 7 Chen, Zhangxin 7 Lin, Qun 7 Mhaskar, Hrushikesh N. 7 Sablonnière, Paul 7 Wang, Lilian 7 Yan, Ningning 7 Zhou, Aihui 7 Zhou, Dingxuan 6 Casazza, Peter George 6 Chen, Yanping 6 Domínguez, Víctor 6 Hinze, Michael 6 Hu, Qiya 6 Jiang, Qingtang 6 Kim, Rae Young 6 Le Gia, Quoc Thong 6 Manni, Carla 6 Mazure, Marie-Laurence 6 Romani, Lucia 6 Sloan, Ian Hugh 6 Stynes, Martin 6 Sun, Qiyu 6 Urban, Karsten 6 Ward, Joseph Dinneen 6 Xu, Yuan 6 Zhang, Zhimin 5 Burrage, Kevin 5 Calvo, Manuel 5 Chen, Zhongying 5 Conti, Costanza 5 Costantini, Paolo Giuseppe 5 Cuyt, Annie A. M. 5 Dahlke, Stephan 5 Fasshauer, Gregory E. 5 Gasca, Mariano 5 Goh, Say Song 5 Grohs, Philipp 5 Gugercin, Serkan 5 Han, Bin 5 Huang, Yunqing 5 Jüttler, Bert 5 Leviatan, Dany 5 Lyche, Tom 5 Montijano, Juan Ignacio 5 Narcowich, Francis J. 5 Nataraj, Neela 5 Noakes, Lyle 5 Plonka, Gerlind 5 Pottmann, Helmut 5 Pyo Moon, Hwan 5 Reif, Ulrich 5 Stephan, Ernst Peter 5 Wang, Yang 5 Wendland, Holger 5 Wu, Zongmin 5 Ye, Xiu 4 Alla, Alessandro 4 Atkinson, Kendall Eugene 4 Bozzini, Mira 4 Chen, Chuanjun 4 Chien, David 4 Cotronei, Mariantonia 4 Deng, Weihua 4 Feichtinger, Hans Georg 4 Fickus, Matthew C. 4 Gemignani, Luca 4 Giannelli, Carlotta 4 Greengard, Leslie F. 4 Guglielmi, Nicola 4 Guo, Zheng-Chu 4 Haasdonk, Bernard 4 Hakopian, Hakop A. 4 Hansen, Olaf 4 He, Yinnian 4 Hiptmair, Ralf 4 Hon, Yiu-Chung 4 Labate, Demetrio 4 Lai, Mingjun 4 Li, Jian 4 Liandrat, Jacques 4 Liu, Steve Wenbin 4 Maass, Peter 4 Maiorov, Vitaly Evgen’evich 4 Martinsson, Per-Gunnar ...and 2,061 more Authors
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### Fields

 1,074 Numerical analysis (65-XX) 379 Partial differential equations (35-XX) 302 Approximations and expansions (41-XX) 199 Harmonic analysis on Euclidean spaces (42-XX) 107 Fluid mechanics (76-XX) 85 Computer science (68-XX) 72 Information and communication theory, circuits (94-XX) 69 Integral equations (45-XX) 64 Ordinary differential equations (34-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 49 Optics, electromagnetic theory (78-XX) 44 Mechanics of deformable solids (74-XX) 41 Operations research, mathematical programming (90-XX) 38 Special functions (33-XX) 32 Functional analysis (46-XX) 31 Statistics (62-XX) 31 Systems theory; control (93-XX) 30 Operator theory (47-XX) 26 Real functions (26-XX) 26 Dynamical systems and ergodic theory (37-XX) 26 Biology and other natural sciences (92-XX) 25 Functions of a complex variable (30-XX) 24 Differential geometry (53-XX) 24 Probability theory and stochastic processes (60-XX) 16 Potential theory (31-XX) 14 General and overarching topics; collections (00-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Geophysics (86-XX) 12 Number theory (11-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Integral transforms, operational calculus (44-XX) 11 Convex and discrete geometry (52-XX) 10 Algebraic geometry (14-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Combinatorics (05-XX) 9 Commutative algebra (13-XX) 9 Geometry (51-XX) 9 Mechanics of particles and systems (70-XX) 8 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Relativity and gravitational theory (83-XX)

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1,185 Publications have been cited 15,349 times in 11,785 Documents Cited by Year
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1996
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Zbl 0838.41014
Wendland, Holger
1995
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
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1998
Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007
Schaback, Robert
1995
An algorithm for selecting a good value for the parameter $$c$$ in radial basis function interpolation. Zbl 0943.65017
Rippa, Shmuel
1999
Regularization networks and support vector machines. Zbl 0939.68098
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2000
High dimensional polynomial interpolation on sparse grids. Zbl 0944.41001
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2000
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
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1996
Compactly supported positive definite radial functions. Zbl 0837.41016
Wu, Zongmin
1995
Finite normalized tight frames. Zbl 1028.42022
Benedetto, John J.; Fickus, Matthew
2003
Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088
Franke, Carsten; Schaback, Robert
1998
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
2003
A posteriori error estimates for distributed convex optimal control problems. Zbl 1008.49024
Liu, Wenbin; Yan, Ningning
2001
A splitting algorithm for dual monotone inclusions involving cocoercive operators. Zbl 1284.47045
Vũ, Băng Công
2013
Some remarks on greedy algorithms. Zbl 0857.65016
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1996
A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178
Wang, Junping; Ye, Xiu
2016
Polynomial interpolation in several variables. Zbl 0943.41001
Gasca, Mariano; Sauer, Thomas
2000
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
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2001
Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013
Carnicer, J. M.; Peña, J. M.
1993
Solving differential equations with radial basis functions: Multilevel methods and smoothing. Zbl 0940.65122
Fasshauer, Gregory E.
1999
Subdivision schemes in $$L_ p$$ spaces. Zbl 0833.65148
Jia, Rong-Qing
1995
The construction of some efficient preconditioners in the boundary element method. Zbl 0922.65076
Steinbach, Olaf; Wendland, Wolfgang L.
1998
Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024
Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo
2002
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
2001
The best $$m$$-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
1998
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
2001
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
1993
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
2000
Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038
Sloan, Ian H.; Womersley, Robert S.
2004
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
2003
A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016
Floater, Michael S.; Hormann, Kai; Kós, Géza
2006
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
2002
Pythagorean-hodograph space curves. Zbl 0829.65011
Farouki, Rida T.; Sakkalis, Takis
1994
Integration and approximation in arbitrary dimensions. Zbl 0939.41004
Hickernell, F. J.; Wozniakowski, H.
2000
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
2014
Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047
Qian, Tao; Wang, Yan-Bo
2011
$$p$$-frames in separable Banach spaces. Zbl 1012.42024
Christensen, Ole; Stoeva, Diana T.
2003
A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123
Petzoldt, Martin
2002
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099
Griebel, M.; Oswald, P.
1995
Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180
Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng
2012
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
2009
Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Zbl 0940.65011
Beatson, R. K.; Cherrie, J. B.; Mouat, C. T.
1999
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
2001
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
2005
On the parameter choice in grad-div stabilization for the Stokes equations. Zbl 1426.76272
Jenkins, Eleanor W.; John, Volker; Linke, Alexander; Rebholz, Leo G.
2014
Barycentric coordinates for convex polytopes. Zbl 0873.52013
Warren, Joe
1996
Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.
1995
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
2005
Blossoms and optimal bases. Zbl 1042.65016
Mazure, Marie-Laurence
2004
High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane. Zbl 1300.65093
Hao, S.; Barnett, A. H.; Martinsson, P. G.; Young, P.
2014
The dual basis functions for the Bernstein polynomials. Zbl 0913.41004
Jüttler, Bert
1998
Quadratic spline quasi-interpolants on Powell-Sabin partitions. Zbl 1116.65008
Manni, Carla; Sablonnière, Paul
2007
A note on the optimal $$L^2$$-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
2002
Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212
Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T.
2010
Barycentric coordinates for convex sets. Zbl 1124.52010
Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu
2007
The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng
1997
Multiwavelet frames from refinable function vectors. Zbl 1059.42030
Han, Bin; Mo, Qun
2003
Stable phase retrieval with low-redundancy frames. Zbl 1316.42035
Bodmann, Bernhard G.; Hammen, Nathaniel
2015
Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079
Sun, Qiyu
2010
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. Zbl 1126.76030
John, Volker; Kaya, Songul
2008
Approximation with polynomial kernels and SVM classifiers. Zbl 1095.68103
Zhou, Ding-Xuan; Jetter, Kurt
2006
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
2016
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Zbl 1415.65223
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing
2019
Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004
Guo, Ben-yu; Shen, Jie; Xu, Cheng-long
2003
Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134
Holst, M.
2001
Regularity of multiwavelets. Zbl 0902.65095
Micchelli, C. A.; Sauer, Thomas
1997
Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim
1998
Construction of $$C^ 2$$ Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
1996
Convergence analysis of tight framelet approach for missing data recovery. Zbl 1172.94309
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
2009
Adaptive frame methods for elliptic operator equations. Zbl 1122.65103
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten
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
2003
Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028
Wu, Zong Min; Liu, Jian Ping
2005
González-Vera, Pablo; Santos-León, J. C.; Njåstad, Olav
1996
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
1998
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2003
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
1995
Spherical wavelet transform and its discretization. Zbl 0858.44005
Freeden, Willi; Windheuser, Ulrich
1996
Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties. Zbl 1018.42020
Paluszyński, Maciej; Šikić, Hrvoje; Weiss, Guido; Xiao, Shaoliang
2003
Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011
1993
Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375
Guo, Ben-yu; Wang, Zhong-qing
2009
Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D.
1999
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Zbl 1118.65069
Casas, Eduardo
2007
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
2005
Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008
Marchi, Stefano; Schaback, Robert; Wendland, Holger
2005
Error estimates for generalized barycentric interpolation. Zbl 1259.65013
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
2012
How good can polynomial interpolation on the sphere be? Zbl 0980.41003
Womersley, Robert S.; Sloan, Ian H.
2001
$$L^{2}$$ error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218
Lv, Junliang; Li, Yonghai
2010
A B-spline approach for empirical mode decompositions. Zbl 1092.94007
Chen, Qiuhui; Huang, Norden; Riemenschneider, Sherman; Xu, Yuesheng
2006
Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion. Zbl 1169.94302
Bollt, Erik M.; Chartrand, Rick; Esedoḡlu, Selim; Schultz, Pete; Vixie, Kevin R.
2009
Computing breaking points in implicit delay differential equations. Zbl 1160.65041
Guglielmi, Nicola; Hairer, Ernst
2008
Numerical solution of generalized Lyapunov equations. Zbl 0909.65026
Penzl, Thilo
1998
Localized frames are finite unions of Riesz sequences. Zbl 1019.42019
Gröchenig, Karlheinz
2003
Wavelet bases of Hermite cubic splines on the interval. Zbl 1101.65123
Jia, Rong-Qing; Liu, Song-Tao
2006
Frames in spaces with finite rate of innovation. Zbl 1218.42015
Sun, Qiyu
2008
Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem. Zbl 1381.65057
Kopteva, Natalia; Stynes, Martin
2017
Toric surface patches. Zbl 0997.65027
Krasauskas, Rimvydas
2002
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint). Zbl 0866.65054
Crank, J.; Nicolson, P.
1996
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Zbl 0868.65068
Fairweather, G.; López-Marcos, J. C.
1996
Helix splines as an example of affine Tchebycheffian splines. Zbl 0832.65008
Pottmann, Helmut; Wagner, Michael G.
1994
Characterization of compactly supported refinable splines. Zbl 0828.41006
Lawton, Wayne; Lee, S. L.; Shen, Zuowei
1995
The role of mesh quality and mesh quality indicators in the virtual element method. Zbl 07462021
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
2022
$$p$$- and $$hp$$-virtual elements for the Stokes problem. Zbl 1475.65187
Chernov, A.; Marcati, C.; Mascotto, L.
2021
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. Zbl 07400546
Qiao, Leijie; Xu, Da
2021
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs. Zbl 1472.65134
Laakmann, Fabian; Petersen, Philipp
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
2021
Robin-Robin domain decomposition methods for the dual-porosity-conduit system. Zbl 1467.76035
Hou, Jiangyong; Yan, Wenjing; Hu, Dan; He, Zhengkang
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
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
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
2021
Joint spectral radius and ternary Hermite subdivision. Zbl 1467.65007
Charina, M.; Conti, C.; Mejstrik, T.; Merrien, J.-L.
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 1473.65323
Ye, Xiu; Zhang, Shangyou
2021
Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. Zbl 07400548
Guglielmi, Nicola; Kressner, Daniel; Scalone, Carmela
2021
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1482.65199
Zheng, Nan; Li, Xiaoli
2021
Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations. Zbl 07402263
Fu, Hongfei; Zhu, Chen; Liang, Xueting; Zhang, Bingyin
2021
Rapid evaluation of the spectral signal detection threshold and Stieltjes transform. Zbl 07402265
Leeb, William
2021
Convergence rates for boundedly regular systems. Zbl 1483.34081
Csetnek, Ernö Robert; Eberhard, Andrew; Tam, Matthew K.
2021
Learning via variably scaled kernels. Zbl 07380984
Campi, C.; Marchetti, F.; Perracchione, E.
2021
Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements. Zbl 1477.65220
Hu, Jun; Ma, Limin; Ma, Rui
2021
Continuous window functions for NFFT. Zbl 1473.65358
Potts, Daniel; Tasche, Manfred
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
2021
A hybrid collocation-perturbation approach for PDEs with random domains. Zbl 1479.65033
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F.
2021
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. Zbl 07378118
Liu, Huan; Zheng, Xiangcheng; Chen, Chuanjun; Wang, Hong
2021
Structure-preserving interpolation of bilinear control systems. Zbl 1470.93032
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
2021
Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators. Zbl 1473.65022
Wu, Bowei; Martinsson, Per-Gunnar
2021
An adaptive spectral graph wavelet method for PDEs on networks. Zbl 1472.65129
Mehra, Mani; Shukla, Ankita; Leugering, Günter
2021
Adaptive and optimal pointwise deconvolution density estimations by wavelets. Zbl 1464.42033
Wu, Cong; Zeng, Xiaochen; Mi, Na
2021
Symplectic geometry and connectivity of spaces of frames. Zbl 1464.42028
Needham, Tom; Shonkwiler, Clayton
2021
Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation. Zbl 1465.65036
Balabanov, Oleg; Nouy, Anthony
2021
Convex combination of alternating projection and Douglas-Rachford operators for phase retrieval. Zbl 1465.65055
Thao, Nguyen Hieu; Soloviev, Oleg; Verhaegen, Michel
2021
A family of $$C^1$$ quadrilateral finite elements. Zbl 1480.65339
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
2021
The hot spots conjecture can be false: some numerical examples. Zbl 07445240
Kleefeld, Andreas
2021
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294
Li, Xiaoli; Shen, Jie
2020
Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447
Chen, Chuchu; Cohen, David; D&rsquo;Ambrosio, Raffaele; Lang, Annika
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
2020
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin
2020
Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport. Zbl 1437.35523
Buet, Christophe; Despres, Bruno; Morel, Guillaume
2020
Optimal $$H^1$$ spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation. Zbl 1454.65118
Huang, Chaobao; Stynes, Martin
2020
High-order cut finite elements for the elastic wave equation. Zbl 1437.65144
Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla
2020
Multigrid preconditioners for anisotropic space-fractional diffusion equations. Zbl 1443.65122
Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken
2020
Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method. Zbl 1457.60103
Dai, Xinjie; Xiao, Aiguo
2020
Universal optimal configurations for the $$p$$-frame potentials. Zbl 1437.42046
Chen, X.; Gonzalez, V.; Goodman, E.; Kang, S.; Okoudjou, K. A.
2020
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. Zbl 1442.65229
Jiang, Daijun; Liu, Yikan; Wang, Dongling
2020
Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. Zbl 1472.65137
Yang, Yidu; Zhang, Yu; Bi, Hai
2020
Analysis of adaptive synchrosqueezing transform with a time-varying parameter. Zbl 1447.42035
Lu, Jian; Jiang, Qingtang; Li, Lin
2020
Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. Zbl 07188452
Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard
2020
Polynomial convergence order of stochastic Bernstein approximation. Zbl 1436.62395
Wu, Zongmin; Zhou, Xuan
2020
Frames and weak frames for unbounded operators. Zbl 1439.42041
Bellomonte, Giorgia; Corso, Rosario
2020
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
An integral equation-based numerical method for the forced heat equation on complex domains. Zbl 1452.65272
Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin
2020
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes. Zbl 1448.65198
Zhou, Yanhui; Wu, Jiming
2020
Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. Zbl 1442.65265
Leng, Haitao; Chen, Yanping
2020
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. Zbl 1454.65115
García-Archilla, Bosco; Novo, Julia
2020
A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction. Zbl 1433.76104
Dong, Jian
2020
Preserving the DAE structure in the Loewner model reduction and identification framework. Zbl 1437.65086
Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C.
2020
Approximation of stability radii for large-scale dissipative Hamiltonian systems. Zbl 1436.65206
Aliyev, Nicat; Mehrmann, Volker; Mengi, Emre
2020
Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Zbl 1441.49031
Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas
2020
Shape optimization of Stokesian peristaltic pumps using boundary integral methods. Zbl 1436.65198
Bonnet, Marc; Liu, Ruowen; Veerapaneni, Shravan
2020
The nonconforming virtual element method for fourth-order singular perturbation problem. Zbl 1436.65191
Zhang, Bei; Zhao, Jikun; Chen, Shaochun
2020
A characteristic finite element two-grid algorithm for a compressible miscible displacement problem. Zbl 1436.65138
Hu, Hanzhang; Chen, Yanping; Huang, Yunqing
2020
Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044
Benner, Peter; Werner, Steffen W. R.
2020
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. Zbl 1467.65112
Meng, Jian; Mei, Liquan
2020
Generalized Born-Jordan distributions and applications. Zbl 1442.42029
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
2020
An $$hp$$-version of the $$C^0$$-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. Zbl 1441.65068
Wei, Yichen; Yi, Lijun
2020
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Zbl 1454.65158
Ali, Mazen; Urban, Karsten
2020
Local superconvergence of post-processed high-order finite volume element solutions. Zbl 1454.65145
He, Wenming; Zhang, Zhimin; Zou, Qingsong
2020
Solving partial differential equations on (evolving) surfaces with radial basis functions. Zbl 1455.65184
Wendland, Holger; Künemund, Jens
2020
Structured backward error analysis for generalized saddle point problems. Zbl 1436.65035
Zheng, Bing; Lv, Peng
2020
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. Zbl 1436.65114
Xie, Shusen; Yi, Su-Cheol
2020
Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method. Zbl 1436.65169
An, Rong
2020
Stochastic Bernstein polynomials: uniform convergence in probability with rates. Zbl 1436.62393
2020
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. Zbl 1437.35535
Greengard, Leslie; Jiang, Shidong; Wang, Jun
2020
Worst-case optimal approximation with increasingly flat Gaussian kernels. Zbl 07189703
Karvonen, Toni; Särkkä, Simo
2020
Optimal frame designs for multitasking devices with weight restrictions. Zbl 1451.42039
Benac, María J.; Massey, Pedro; Ruiz, Mariano; Stojanoff, Demetrio
2020
A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. Zbl 1436.65148
Jiang, Chaolong; Song, Yongzhong; Wang, Yushun
2020
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
2020
Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes. Zbl 1436.65163
Dong, Qiannan; Su, Shuai; Wu, Jiming
2020
An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Zbl 1436.65180
Giani, Stefano
2020
A boundary-partition-based Voronoi diagram of $$d$$-dimensional balls: definition, properties, and applications. Zbl 1451.52009
Duan, Xianglong; Quan, Chaoyu; Stamm, Benjamin
2020
Virtual element methods for nonlocal parabolic problems on general type of meshes. Zbl 1471.65131
2020
Unconditionally optimal convergence analysis of second-order BDF Galerkin finite element scheme for a hybrid MHD system. Zbl 1471.65150
Li, Yuan; Zhai, Chunfang
2020
Spectral collocation method for nonlinear Caputo fractional differential system. Zbl 1471.65158
Gu, Zhendong
2020
Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem. Zbl 1465.65148
Yang, Ying; Tang, Ming; Liu, Chun; Lu, Benzhuo; Zhong, Liuqiang
2020
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Zbl 1415.65223
Chen, Chuanjun; Li, Kang; Chen, Yanping; Huang, Yunqing
2019
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
2019
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. Zbl 1420.82021
Li, Qi; Mei, Liquan; Yang, Xiaofeng; Li, Yibao
2019
Randomized algorithms for the approximations of Tucker and the tensor train decompositions. Zbl 1433.68600
Che, Maolin; Wei, Yimin
2019
Collocation methods for general Riemann-Liouville two-point boundary value problems. Zbl 1415.65168
Liang, Hui; Stynes, Martin
2019
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
2019
Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws. Zbl 1435.65213
Yano, Masayuki
2019
ADMM for monotone operators: convergence analysis and rates. Zbl 07055804
Boţ, Radu Ioan; Csetnek, Ernö Robert
2019
A deterministic sparse FFT for functions with structured Fourier sparsity. Zbl 1458.42002
Bittens, Sina; Zhang, Ruochuan; Iwen, Mark A.
2019
Randomized model order reduction. Zbl 1418.65193
Alla, Alessandro; Kutz, J. Nathan
2019
A new globally convergent algorithm for non-Lipschitz $$\ell_{p}-\ell_q$$ minimization. Zbl 1415.49022
Liu, Zhifang; Wu, Chunlin; Zhao, Yanan
2019
The empirical Christoffel function with applications in data analysis. Zbl 1425.62079
Lasserre, Jean B.; Pauwels, Edouard
2019
Verified computation of the matrix exponential. Zbl 1447.65009
Miyajima, Shinya
2019
An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. Zbl 1435.65210
2019
$${\mathscr{H}}$$-matrix approximability of inverses of discretizations of the fractional Laplacian. Zbl 1435.65205
Karkulik, Michael; Melenk, Jens Markus
2019
An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. Zbl 1415.78011
Huang, Can; Wang, Li-Lian
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
2019
Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions. Zbl 1430.65006
Wang, Jun; Greengard, Leslie
2019
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### Cited by 13,124 Authors

 62 Chen, Yanping 62 Peña, Juan Manuel 59 Farouki, Rida T. 56 Dehghan Takht Fooladi, Mehdi 56 Qian, Tao 54 Karageorghis, Andreas 54 Xu, Yuesheng 51 Chen, Ching-Shyang 48 Zhou, Dingxuan 42 Huang, Yunqing 42 Mazure, Marie-Laurence 42 Schaback, Robert 39 Shi, Dongyang 37 He, Yinnian 37 Sauer, Tomas 36 Chen, Wen 36 Han, Deguang 36 Sun, Qiyu 35 Carnicer, Jésus Miguel 35 Temlyakov, Vladimir Nikolaevich 34 Guo, Ben-Yu 34 Han, Bin 34 Manni, Carla 33 Li, Yunzhang 32 Lesnic, Daniel 32 Shang, Yueqiang 31 Conti, Costanza 31 Wu, Zongmin 30 Speleers, Hendrik 29 Casazza, Peter George 29 Li, Jian 28 Hon, Yiu-Chung 28 Jüttler, Bert 28 Ling, Leevan 28 Mhaskar, Hrushikesh N. 28 Romani, Lucia 27 Lin, Tao 27 Shen, Zuowei 27 Sloan, Ian Hugh 27 Wang, Zhongqing 27 Wendland, Holger 27 Zhang, Zhimin 26 Marin, Liviu 25 Benner, Peter 25 Giannelli, Carlotta 25 He, Xiaoming 25 Krajnc, Marjeta 25 Siraj-ul-Islam 25 Ye, Xiu 25 Zhang, Shangyou 24 Chui, Charles Kam-tai 24 Gu, Yan 24 Mu, Lin 24 Schwab, Christoph 24 Yang, Yidu 23 Brugnano, Luigi 23 Jiang, Qingtang 22 Kutyniok, Gitta 22 Li, Zi-Cai 22 Pasadas, Miguel 22 Xie, Hehu 21 Chen, Dirong 21 Han, Xuli 21 Hou, Yanren 21 Li, Jichun 21 Sestini, Alessandra 21 Steidl, Gabriele 21 Zou, Qingsong 20 Charina, Maria 20 Dahlke, Stephan 20 Fu, Zhuojia 20 Lin, Shaobo 20 Sbibih, Driss 20 Stevenson, Rob P. 20 Wang, Lilian 20 Yan, Ningning 20 Zhang, Haizhang 19 Alves, Carlos J. S. 19 Amat, Sergio P. 19 Cao, Feilong 19 Chen, Zhongying 19 Christensen, Ole 19 González-Vera, Pablo 19 Harbrecht, Helmut 19 Jeon, Youngmok 19 Li, Huiyuan 19 Lu, Zuliang 19 Sun, Hongwei 19 Sun, Wenchang 19 Yang, Shouzhi 18 Bi, Hai 18 Boţ, Radu Ioan 18 Cavoretto, Roberto 18 Dyn, Nira 18 Fasshauer, Gregory E. 18 Fornberg, Bengt 18 Kansa, Edward J. 18 Li, Song 18 Li, Yonghai 18 Li, Youfa ...and 13,024 more Authors
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### Cited in 756 Journals

 687 Journal of Computational and Applied Mathematics 448 Advances in Computational Mathematics 426 Engineering Analysis with Boundary Elements 424 Applied Mathematics and Computation 406 Journal of Computational Physics 380 Applied Numerical Mathematics 353 Computers & Mathematics with Applications 331 Journal of Scientific Computing 282 Computer Methods in Applied Mechanics and Engineering 264 Applied and Computational Harmonic Analysis 262 Computer Aided Geometric Design 240 Numerical Algorithms 210 Journal of Approximation Theory 194 Mathematics of Computation 169 Journal of Mathematical Analysis and Applications 155 Numerische Mathematik 155 SIAM Journal on Scientific Computing 136 Linear Algebra and its Applications 125 International Journal of Computer Mathematics 106 The Journal of Fourier Analysis and Applications 104 Numerical Methods for Partial Differential Equations 99 SIAM Journal on Numerical Analysis 96 Applied Mathematical Modelling 94 International Journal of Wavelets, Multiresolution and Information Processing 91 Journal of Complexity 87 Mathematics and Computers in Simulation 83 Constructive Approximation 82 BIT 79 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 76 Applied Mathematics Letters 75 Advances in Applied Mathematics and Mechanics 70 Computers and Fluids 70 Numerical Functional Analysis and Optimization 68 International Journal for Numerical Methods in Engineering 68 Mathematical Problems in Engineering 58 Applicable Analysis 57 Proceedings of the American Mathematical Society 56 Computational and Applied Mathematics 56 Journal of Inequalities and Applications 55 Science China. Mathematics 52 Mathematical Methods in the Applied Sciences 48 Inverse Problems 46 Calcolo 46 Computational Mechanics 46 Abstract and Applied Analysis 44 Journal of Mathematical Physics 43 Analysis and Applications (Singapore) 42 Inverse Problems in Science and Engineering 41 Journal of Functional Analysis 40 Communications in Computational Physics 40 SIAM Journal on Imaging Sciences 38 Automatica 38 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 38 Foundations of Computational Mathematics 35 International Journal of Computational Methods 34 Acta Applicandae Mathematicae 34 Journal of Integral Equations and Applications 34 Computational Optimization and Applications 34 Acta Mathematica Sinica. English Series 33 Results in Mathematics 33 Journal of Function Spaces 30 Communications in Nonlinear Science and Numerical Simulation 29 SIAM/ASA Journal on Uncertainty Quantification 28 Mediterranean Journal of Mathematics 28 Advances in Difference Equations 27 Computing 27 Neural Computation 27 SIAM Journal on Optimization 26 Journal of Optimization Theory and Applications 26 Journal of Symbolic Computation 26 Numerical Linear Algebra with Applications 25 Chaos, Solitons and Fractals 25 Transactions of the American Mathematical Society 25 Journal of Mathematical Imaging and Vision 25 Discrete and Continuous Dynamical Systems. Series B 25 Inverse Problems and Imaging 24 Computational Methods in Applied Mathematics 23 SIAM Journal on Matrix Analysis and Applications 23 Applied Mathematics. Series B (English Edition) 23 Journal of Applied Mathematics 22 The Annals of Statistics 22 Integral Transforms and Special Functions 22 International Journal of Applied and Computational Mathematics 21 Journal of Applied Mathematics and Computing 20 Journal of Fluid Mechanics 20 International Journal of Numerical Analysis and Modeling 19 Linear and Multilinear Algebra 19 Journal of Statistical Planning and Inference 19 Acta Mathematicae Applicatae Sinica. English Series 19 European Journal of Mechanics. B. Fluids 19 Journal of Numerical Mathematics 18 Neural Networks 18 Japan Journal of Industrial and Applied Mathematics 18 East Asian Journal on Applied Mathematics 17 SIAM Journal on Control and Optimization 17 SIAM Journal on Applied Mathematics 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Journal of Inverse and Ill-Posed Problems 17 AIMS Mathematics 16 Journal of Systems Science and Complexity ...and 656 more Journals
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### Cited in 61 Fields

 7,339 Numerical analysis (65-XX) 2,528 Partial differential equations (35-XX) 1,574 Approximations and expansions (41-XX) 1,450 Harmonic analysis on Euclidean spaces (42-XX) 1,206 Fluid mechanics (76-XX) 740 Computer science (68-XX) 661 Mechanics of deformable solids (74-XX) 603 Information and communication theory, circuits (94-XX) 561 Statistics (62-XX) 547 Ordinary differential equations (34-XX) 478 Functional analysis (46-XX) 466 Calculus of variations and optimal control; optimization (49-XX) 423 Operations research, mathematical programming (90-XX) 387 Probability theory and stochastic processes (60-XX) 361 Operator theory (47-XX) 342 Linear and multilinear algebra; matrix theory (15-XX) 334 Integral equations (45-XX) 327 Biology and other natural sciences (92-XX) 299 Optics, electromagnetic theory (78-XX) 280 Special functions (33-XX) 263 Systems theory; control (93-XX) 207 Real functions (26-XX) 168 Dynamical systems and ergodic theory (37-XX) 152 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 150 Classical thermodynamics, heat transfer (80-XX) 149 Differential geometry (53-XX) 143 Quantum theory (81-XX) 140 Statistical mechanics, structure of matter (82-XX) 136 Functions of a complex variable (30-XX) 129 Combinatorics (05-XX) 103 Number theory (11-XX) 103 Geophysics (86-XX) 77 Convex and discrete geometry (52-XX) 76 Global analysis, analysis on manifolds (58-XX) 75 Algebraic geometry (14-XX) 74 Abstract harmonic analysis (43-XX) 70 Integral transforms, operational calculus (44-XX) 69 Potential theory (31-XX) 65 Mechanics of particles and systems (70-XX) 56 Difference and functional equations (39-XX) 51 Commutative algebra (13-XX) 44 Relativity and gravitational theory (83-XX) 37 Measure and integration (28-XX) 30 Geometry (51-XX) 25 Topological groups, Lie groups (22-XX) 23 Sequences, series, summability (40-XX) 22 Several complex variables and analytic spaces (32-XX) 20 History and biography (01-XX) 17 Field theory and polynomials (12-XX) 16 General and overarching topics; collections (00-XX) 14 Group theory and generalizations (20-XX) 13 Manifolds and cell complexes (57-XX) 12 General topology (54-XX) 11 Astronomy and astrophysics (85-XX) 9 Mathematical logic and foundations (03-XX) 8 Algebraic topology (55-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Mathematics education (97-XX) 5 Nonassociative rings and algebras (17-XX) 4 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX)