Advances in Computational MathematicsModelling 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: 1,611 Publications (since 1993) References Indexed: 1,310 Publications with 39,818 References. all top 5 Latest Issues 50, No. 1 (2024) 49, No. 6 (2023) 49, No. 5 (2023) 49, No. 4 (2023) 49, No. 3 (2023) 49, No. 2 (2023) 49, No. 1 (2023) 48, No. 6 (2022) 48, No. 5 (2022) 48, No. 4 (2022) 48, No. 3 (2022) 48, No. 2 (2022) 48, No. 1 (2022) 47, No. 6 (2021) 47, No. 5 (2021) 47, No. 4 (2021) 47, No. 3 (2021) 47, No. 2 (2021) 47, No. 1 (2021) 46, No. 6 (2020) 46, No. 5 (2020) 46, No. 4 (2020) 46, No. 3 (2020) 46, No. 2 (2020) 46, No. 1 (2020) 45, No. 5-6 (2019) 45, No. 4 (2019) 45, No. 3 (2019) 45, No. 2 (2019) 45, No. 1 (2019) 44, No. 6 (2018) 44, No. 5 (2018) 44, No. 4 (2018) 44, No. 3 (2018) 44, No. 2 (2018) 44, No. 1 (2018) 43, No. 6 (2017) 43, No. 5 (2017) 43, No. 4 (2017) 43, No. 3 (2017) 43, No. 2 (2017) 43, No. 1 (2017) 42, No. 6 (2016) 42, No. 5 (2016) 42, No. 4 (2016) 42, No. 3 (2016) 42, No. 2 (2016) 42, No. 1 (2016) 41, No. 6 (2015) 41, No. 5 (2015) 41, No. 4 (2015) 41, No. 3 (2015) 41, No. 2 (2015) 41, No. 1 (2015) 40, No. 5-6 (2014) 40, No. 4 (2014) 40, No. 3 (2014) 40, No. 2 (2014) 40, No. 1 (2014) 39, No. 3-4 (2013) 39, No. 2 (2013) 39, No. 1 (2013) 38, No. 4 (2013) 38, No. 3 (2013) 38, No. 2 (2013) 38, No. 1 (2013) 37, No. 4 (2012) 37, No. 3 (2012) 37, No. 2 (2012) 37, No. 1 (2012) 36, No. 4 (2012) 36, No. 3 (2012) 36, No. 2 (2012) 36, No. 1 (2012) 35, No. 2-4 (2011) 35, No. 1 (2011) 34, No. 4 (2011) 34, No. 3 (2011) 34, No. 2 (2011) 34, No. 1 (2011) 33, No. 4 (2010) 33, No. 3 (2010) 33, No. 2 (2010) 33, No. 1 (2010) 32, No. 4 (2010) 32, No. 3 (2010) 32, No. 2 (2010) 32, No. 1 (2010) 31, No. 4 (2009) 31, No. 1-3 (2009) 30, No. 4 (2009) 30, No. 3 (2009) 30, No. 2 (2009) 30, No. 1 (2009) 29, No. 4 (2008) 29, No. 3 (2008) 29, No. 2 (2008) 29, No. 1 (2008) 28, No. 4 (2008) 28, No. 3 (2008) ...and 76 more Volumes all top 5 Authors 19 Xu, Yuesheng 16 Micchelli, Charles A. 16 Schaback, Robert 15 Peña, Juan Manuel 14 Farouki, Rida T. 12 Sauer, Tomas 11 Carnicer, Jésus Miguel 11 Guo, Ben-Yu 10 Benner, Peter 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 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 Gugercin, Serkan 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 2,386 more Authors all top 5 Fields 1,210 Numerical analysis (65-XX) 448 Partial differential equations (35-XX) 324 Approximations and expansions (41-XX) 206 Harmonic analysis on Euclidean spaces (42-XX) 138 Fluid mechanics (76-XX) 94 Computer science (68-XX) 80 Information and communication theory, circuits (94-XX) 73 Integral equations (45-XX) 65 Ordinary differential equations (34-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 58 Optics, electromagnetic theory (78-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 54 Operations research, mathematical programming (90-XX) 51 Mechanics of deformable solids (74-XX) 40 Special functions (33-XX) 38 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) 29 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) 12 Number theory (11-XX) 12 Geometry (51-XX) 12 Convex and discrete geometry (52-XX) 11 Integral transforms, operational calculus (44-XX) 10 Algebraic geometry (14-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 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,354 Publications have been cited 19,288 times in 14,743 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. 1,034 1996 Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Zbl 0838.41014 Wendland, Holger 633 1995 The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074 Fairweather, Graeme; Karageorghis, Andreas 496 1998 An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation. Zbl 0943.65017 Rippa, Shmuel 323 1999 Error estimates and condition numbers for radial basis function interpolation. Zbl 0861.65007 Schaback, Robert 301 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 191 2000 A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081 Bramble, James H.; King, J. Thomas 186 1996 A weak Galerkin finite element method for the Stokes equations. Zbl 1382.76178 Wang, Junping; Ye, Xiu 164 2016 Finite normalized tight frames. Zbl 1028.42022 Benedetto, John J.; Fickus, Matthew 157 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 140 1995 Equal-norm tight frames with erasures. Zbl 1035.42029 Casazza, Peter G.; Kovačević, Jelena 138 2003 Some remarks on greedy algorithms. Zbl 0857.65016 DeVore, R. A.; Temlyakov, V. N. 129 1996 Convergence order estimates of meshless collocation methods using radial basis functions. Zbl 0909.65088 Franke, Carsten; Schaback, Robert 128 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 110 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. 101 1999 Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013 Carnicer, J. M.; Peña, J. M. 95 1993 Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Zbl 0998.65024 Choi, Hyeong In; Lee, Doo Seok; Moon, Hwan Pyo 87 2002 Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128 Xu, Jinchao; Zhou, Aihui 84 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. 80 1998 Subdivision schemes in \(L_ p\) spaces. Zbl 0833.65148 Jia, Rong-Qing 79 1995 A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111 Heuveline, Vincent; Rannacher, Rolf 79 2001 Frames associated with measurable spaces. Zbl 1033.42036 Gabardo, Jean-Pierre; Han, Deguang 78 2003 Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180 Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng 76 2012 Adaptive Fourier series—a variation of greedy algorithm. Zbl 1214.30047 Qian, Tao; Wang, Yan-Bo 74 2011 Extremal systems of points and numerical integration on the sphere. Zbl 1055.65038 Sloan, Ian H.; Womersley, Robert S. 72 2004 Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093 Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold 71 1993 Weak greedy algorithms. Zbl 0964.65009 Temlyakov, V. N. 71 2000 Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010 Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 69 2014 Pythagorean-hodograph space curves. Zbl 0829.65011 Farouki, Rida T.; Sakkalis, Takis 67 1994 A general construction of barycentric coordinates over convex polygons. Zbl 1095.65016 Floater, Michael S.; Hormann, Kai; Kós, Géza 67 2006 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. 67 2014 Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003 Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis 66 2002 A posteriori error estimators for elliptic equations with discontinuous coefficients. Zbl 0997.65123 Petzoldt, Martin 64 2002 \(p\)-frames in separable Banach spaces. Zbl 1012.42024 Christensen, Ole; Stoeva, Diana T. 64 2003 A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120 Li, Jian; Chen, Zhangxin 62 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. 61 1999 Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064 Baker, C. T. H.; Paul, C. A. H.; Willé, D. R. 59 1995 Integration and approximation in arbitrary dimensions. Zbl 0939.41004 Hickernell, F. J.; Wozniakowski, H. 59 2000 Barycentric coordinates for convex polytopes. Zbl 0873.52013 Warren, Joe 58 1996 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. 58 2014 Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Zbl 0826.65099 Griebel, M.; Oswald, P. 56 1995 A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136 Ling, Leevan; Kansa, Edward J. 56 2005 Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004 Guo, Benyu; Wang, Lilian 55 2001 A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122 Chen, Zhongying; Li, Ronghua; Zhou, Aihui 55 2002 Approximation properties of a multilayered feedforward artificial neural network. Zbl 0824.41011 Mhaskar, H. N. 54 1993 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 54 2019 High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136 Li, Can; Deng, Weihua 53 2016 The dual basis functions for the Bernstein polynomials. Zbl 0913.41004 Jüttler, Bert 52 1998 Barycentric coordinates for convex sets. Zbl 1124.52010 Warren, Joe; Schaefer, Scott; Hirani, Anil N.; Desbrun, Mathieu 50 2007 Optimal convergence analysis of an immersed interface finite element method. Zbl 1198.65212 Chou, So-Hsiang; Kwak, Do Y.; Wee, K. T. 50 2010 A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119 Alves, C. J. S.; Chen, C. S. 49 2005 Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation. Zbl 1032.33004 Guo, Ben-yu; Shen, Jie; Xu, Cheng-long 47 2003 Quadratic spline quasi-interpolants on Powell-Sabin partitions. Zbl 1116.65008 Manni, Carla; Sablonnière, Paul 46 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 Blossoms and optimal bases. Zbl 1042.65016 Mazure, Marie-Laurence 45 2004 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 nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117 Liu, Xin; Chen, Zhangxin 45 2019 Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079 Sun, Qiyu 44 2010 Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008 Marchi, Stefano; Schaback, Robert; Wendland, Holger 44 2005 The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 44 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 43 2007 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 Legendre-Gauss collocation methods for ordinary differential equations. Zbl 1162.65375 Guo, Ben-yu; Wang, Zhong-qing 42 2009 Multiwavelet frames from refinable function vectors. Zbl 1059.42030 Han, Bin; Mo, Qun 42 2003 \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes. Zbl 1198.65218 Lv, Junliang; Li, Yonghai 42 2010 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. 41 1996 Deficits and excesses of frames. Zbl 1029.42030 Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 41 2003 Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086 Tebou, Louis T.; Zuazua, Enrique 40 2007 Affine frames, quasi-affine frames, and their duals. Zbl 0892.42019 Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim 40 1998 Generalized Strang-Fix condition for scattered data quasi-interpolation. Zbl 1068.65028 Wu, Zong Min; Liu, Jian Ping 40 2005 Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087 Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu 40 2003 Stability of kernel-based interpolation. Zbl 1188.41001 De Marchi, Stefano; Schaback, Robert 39 2010 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 Adaptive numerical treatment of elliptic systems on manifolds. Zbl 0997.65134 Holst, M. 39 2001 Computing breaking points in implicit delay differential equations. Zbl 1160.65041 Guglielmi, Nicola; Hairer, Ernst 38 2008 Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015 Fornberg, Bengt; Flyer, Natasha 38 2005 Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008 Albrecht, Gudrun; Farouki, Rida T. 38 1996 Regularity of multiwavelets. Zbl 0902.65095 Micchelli, C. A.; Sauer, Thomas 38 1997 Error estimates for generalized barycentric interpolation. Zbl 1259.65013 Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit 38 2012 Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Zbl 1442.65294 Li, Xiaoli; Shen, Jie 38 2020 An introduction to second degree forms. Zbl 0837.42009 Maroni, P. 37 1995 How good can polynomial interpolation on the sphere be? Zbl 0980.41003 Womersley, Robert S.; Sloan, Ian H. 37 2001 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 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 Approximation properties of zonal function networks using scattered data on the sphere. Zbl 0939.41012 Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D. 35 1999 Spherical wavelet transform and its discretization. Zbl 0858.44005 Freeden, Willi; Windheuser, Ulrich 35 1996 Laguerre minimal surfaces, isotropic geometry and linear elasticity. Zbl 1425.65034 Pottmann, Helmut; Grohs, Philipp; Mitra, Niloy J. 35 2009 On the approximation power of bivariate splines. Zbl 0924.41010 Lai, Ming-Jun; Schumaker, Larry L. 35 1998 Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties. Zbl 1018.42020 Paluszyński, Maciej; Šikić, Hrvoje; Weiss, Guido; Xiao, Shaoliang 35 2003 A B-spline approach for empirical mode decompositions. Zbl 1092.94007 Chen, Qiuhui; Huang, Norden; Riemenschneider, Sherman; Xu, Yuesheng 34 2006 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 8 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 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 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 Directional wavelet packets originating from polynomial splines. Zbl 07681464 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 Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation. Zbl 1527.35383 Landoulsi, Oussama; Roudenko, Svetlana; Yang, Kai 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 An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. Zbl 1518.35562 Zou, Guang-an; Wang, Xuyang; Li, Jian 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 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 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. 11 2022 Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs. Zbl 1502.65170 De Ryck, Tim; Mishra, Siddhartha 10 2022 A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. Zbl 07506442 Stevenson, Rob; van Venetië, Raymond; Westerdiep, Jan 6 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 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 High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. Zbl 1502.65162 Li, Xin; Zhang, Luming 4 2022 Persistence curves: a canonical framework for summarizing persistence diagrams. Zbl 1497.55008 Chung, Yu-Min; Lawson, Austin 4 2022 A generalisation of de la Vallée-Poussin procedure to multivariate approximations. Zbl 1482.41022 Sukhorukova, Nadezda; Ugon, Julien 3 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 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 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 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. 2 2022 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. 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Zbl 1503.53083 Noakes, Lyle; Zhang, Erchuan 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 Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier-Stokes equations. Zbl 07608423 Jiang, Nan; Yang, Huanhuan 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 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. 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Zbl 1467.65007 Charina, M.; Conti, C.; Mejstrik, T.; Merrien, J.-L. 6 2021 ...and 1254 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,487 Authors 76 Chen, Yanping 71 Peña, Juan Manuel 69 Qian, Tao 67 Dehghan Takht Fooladi, Mehdi 64 Farouki, Rida T. 61 Xu, Yuesheng 58 Huang, Yunqing 56 Karageorghis, Andreas 55 Chen, Ching-Shyang 53 Zhou, Dingxuan 48 Shi, Dongyang 47 Chen, Wen 47 He, Yinnian 43 Schaback, Robert 42 Mazure, Marie-Laurence 42 Shang, Yueqiang 41 Sauer, Tomas 39 Han, Deguang 39 Li, Yunzhang 38 Temlyakov, Vladimir Nikolaevich 37 Sun, Qiyu 36 Manni, Carla 35 Carnicer, Jésus Miguel 35 Han, Bin 35 Li, Jian 35 Zhang, Zhimin 34 Conti, Costanza 34 Guo, Ben-Yu 34 Lesnic, Daniel 34 Schwab, Christoph 33 Speleers, Hendrik 32 He, Xiaoming 32 Jüttler, Bert 31 Casazza, Peter George 31 Ling, Leevan 31 Romani, Lucia 30 Benner, Peter 30 Wang, Zhongqing 30 Wendland, Holger 30 Zhang, Shangyou 29 Giannelli, Carlotta 29 Hon, Yiu-Chung 29 Krajnc, Marjeta 29 Lin, Tao 29 Mhaskar, Hrushikesh N. 29 Sloan, Ian Hugh 29 Ye, Xiu 29 Young, Der-Liang 28 Li, Jichun 28 Mu, Lin 28 Yang, Yidu 27 Gu, Yan 27 Marin, Liviu 27 Shen, Zuowei 27 Wu, Zongmin 26 Feng, Xinlong 26 Rozza, Gianluigi 26 Siraj-ul-Islam 25 Amat Plata, Sergio 25 Chui, Charles Kam-tai 25 Fasshauer, Gregory E. 25 Hou, Yanren 25 Kutyniok, Gitta 24 Brugnano, Luigi 24 Cavoretto, Roberto 24 D’Ambrosio, Raffaele 24 Feng, Minfu 24 Harbrecht, Helmut 24 Lin, Shaobo 24 Stevenson, Rob P. 24 Wang, Lilian 24 Xie, Hehu 23 Bi, Hai 23 Jiang, Qingtang 23 Li, Huiyuan 23 Li, Zi-Cai 23 Pasadas, Miguel 23 Sestini, Alessandra 23 Steidl, Gabriele 22 Chen, Dirong 22 Du, Guangzhi 22 Li, Yonghai 22 Vianello, Marco 22 Wang, Junping 22 Zhang, Tong 22 Zou, Qingsong 21 Adjerid, Slimane 21 Alves, Carlos J. 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