## Computational Methods in Applied Mathematics

 Short Title: Comput. Methods Appl. Math. Publisher: De Gruyter, Berlin ISSN: 1609-4840; 1609-9389/e Online: http://www.degruyter.com/view/j/cmam Comments: Indexed cover-to-cover
 Documents Indexed: 715 Publications (since 2001) References Indexed: 295 Publications with 9,014 References.
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### Latest Issues

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### Authors

 23 Makarov, Volodymyr Leonidovych 21 Gavrilyuk, Ivan P. 21 Matus, Pëtr Paŭlavich 16 Vabishchevich, Pëtr Nikolaevich 13 Khoromskiĭ, Boris Nikolaevich 12 Repin, Sergeĭ Igorevich 12 Shishkin, Grigoriĭ Ivanovich 9 Carstensen, Carsten 9 Stynes, Martin 8 Čiegis, Raimondas 8 Emmrich, Etienne 8 Führer, Thomas 8 Jovanović, Boško S. 8 Langer, Ulrich 8 Praetorius, Dirk 7 Hemker, Pieter W. 7 Lazarov, Raytcho D. 7 Nicaise, Serge 7 Thomée, Vidar 6 Bertrand, Fleurianne 6 Brenner, Susanne Cecelia 6 Ern, Alexandre 6 Gudi, Thirupathi 6 Heuer, Norbert 6 Hoppe, Ronald H. W. 6 Nataraj, Neela 6 Roos, Hans-Görg 5 Demkowicz, Leszek F. 5 Gaspar, Francisco José 5 Khoromskaia, Venera 5 Lapin, Aleksandr Vasil’evich 5 O’Riordan, Eugene 5 Oseledets, Ivan V. 5 Shishkina, Lidia P. 5 Vassilevski, Panayot Spirov 5 Xenophontos, Christos A. 5 Zlotnik, Alexander A. 4 Assous, Franck 4 Braack, Malte 4 Chuiko, Mikhail 4 Di Pietro, Daniele Antonio 4 Dond, Asha K. 4 Droniou, Jérôme 4 Eigel, Martin 4 Ford, Neville J. 4 Gulin, Alexei V. 4 Hermann, Martin 4 Iliev, Oleg P. 4 Kanschat, Guido 4 Karkulik, Michael 4 Lazurchak, I. I. 4 Lemeshevskiǐ, S. V. 4 Linß, Torsten 4 Lisbona Cortés, Francisco Javier 4 Sarkis, Marcus V. 4 Sauter, Stefan A. 4 Seaïd, Mohammed 4 Shahmorad, Sedaghat 4 Stevenson, Rob P. 4 Wick, Thomas 4 Xu, Xuejun 3 Boffi, Daniele 3 Delić, Aleksandra 3 Dorfler, Willy 3 Dryja, Maksymilian 3 Eymard, Robert 3 Gallistl, Dietmar 3 George, Santhosh 3 Glowinski, Roland 3 Gracia, José Luis 3 Grigorieff, Rolf Dieter 3 Harju, Markus 3 Herty, Michael Matthias 3 Hu, Jun 3 Huang, Zhongyi 3 Jiang, Nan 3 Jovanovich, B. S. 3 Korneev, Vadim Glebovich 3 Kraus, Johannes K. 3 Kutniv, Myroslav V. 3 Lapinska-Chrzczonowicz, Magdalena 3 Mahale, Pallavi 3 Mayko, Nataliya Valentynivna 3 Morozova, Valentina A. 3 Nair, M. Thamban 3 Olshanskii, Maxim A. 3 Pani, Amiya Kumar 3 Park, Eun-Jae 3 Pasciak, Joseph E. 3 Pereverzev, Sergei V. 3 Rababah, Abedallah 3 Raymond, Jean-Pierre 3 Rebholz, Leo G. 3 Schneider, Reinhold 3 Steinberg, Stanly L. 3 Stephan, Ernst Peter 3 Sun, Zhizhong 3 Vasylyk, Vitaliĭ Borysovych 3 Voigt, Axel 3 Vulkov, Lubin G. ...and 909 more Authors
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### Fields

 659 Numerical analysis (65-XX) 277 Partial differential equations (35-XX) 94 Fluid mechanics (76-XX) 71 Ordinary differential equations (34-XX) 45 Mechanics of deformable solids (74-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 36 Operator theory (47-XX) 34 Integral equations (45-XX) 23 Approximations and expansions (41-XX) 18 Probability theory and stochastic processes (60-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Optics, electromagnetic theory (78-XX) 13 General and overarching topics; collections (00-XX) 12 Operations research, mathematical programming (90-XX) 12 Biology and other natural sciences (92-XX) 9 Functional analysis (46-XX) 9 Systems theory; control (93-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 History and biography (01-XX) 6 Real functions (26-XX) 6 Computer science (68-XX) 6 Geophysics (86-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

496 Publications have been cited 3,236 times in 2,646 Documents Cited by Year
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
2014
Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control. Zbl 1086.65107
Bahriawati, C.; Carstensen, C.
2005
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps. Zbl 1284.65050
Dolean, Victorita; Nataf, Frédéric; Scheichl, Robert; Spillane, Nicole
2012
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
2017
Efficient implementation of adaptive P1-FEM in Matlab. Zbl 1284.65197
Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp
2011
On discontinuous Galerkin methods for elliptic problems with discontinuous coefficients. Zbl 1039.65079
Dryja, Maksymilian
2003
A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1048.65100
Mozolevski, Igor; Süli, Endre
2003
Space-time finite element methods for parabolic problems. Zbl 1329.65229
Steinbach, Olaf
2015
The SDFEM for a convection-diffusion problem with two small parameters. Zbl 1034.65064
Roos, Hans-Görg; Uzelac, Zorica
2003
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
2014
Structured rank-$$(r_1, \dots , r_d)$$ decomposition of function-related tensors in $$\mathbb R^d$$. Zbl 1120.65052
Khoromskij, B. N.
2006
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
2013
Numerical solutions of fuzzy differential equations by Taylor method. Zbl 1019.34061
Abbasband, S.; Viranloo, Allah
2002
Singularly perturbed problems modeling reaction-convection-diffusion processes. Zbl 1040.65067
O’Riordan, Eugene; Pickett, Maria L.; Shishkin, Grigorii I.
2003
Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053
Bangerth, W.; Geiger, Michael; Rannacher, R.
2010
A Fourier pseudospectral method for solving coupled viscous Burgers equation. Zbl 1183.35245
Rashid, Abdur; Ismail, Ahmad Izani Bin Md.
2009
$$D$$-gap functions for a class of equilibrium problems in Banach spaces. Zbl 1051.47046
Konnov, I. V.; Pinyagina, O. V.
2003
Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs. Zbl 1283.65039
Khoromskij, B. N.; Oseledets, I.
2010
Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators. Zbl 1283.65102
Semenova, E. V.
2010
Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. Zbl 1283.65025
Kressner, Daniel; Tobler, Christine
2011
DMRG approach to fast linear algebra in the TT-format. Zbl 1283.15041
Oseledets, Ivan
2011
Computational comparison of surface metrics for PDE constrained shape optimization. Zbl 1342.49065
Schulz, Volker; Siebenborn, Martin
2016
Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods. Zbl 1285.65070
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk
2013
Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem. Zbl 1382.65275
Gracia, José Luis; O’Riordan, Eugene; Stynes, Martin
2018
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
2010
Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038
Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A.
2015
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
2016
Robust numerical upscaling of elliptic multiscale problems at high contrast. Zbl 1348.65169
Peterseim, Daniel; Scheichl, Robert
2016
A Schwarz preconditioner for a hybridized mixed method. Zbl 1039.65081
2003
Numerical solution of systems of singularly perturbed differential equations. Zbl 1193.65189
Linss, T.; Stynes, M.
2009
Müntz spectral methods for the time-fractional diffusion equation. Zbl 1382.65343
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju
2018
Superconvergence postprocessing for eigenvalues. Zbl 1012.65113
Racheva, M. R.; Andreev, A. B.
2002
Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Zbl 1360.65234
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian
2016
An introduction to hierarchical ($$\mathcal H$$-) rank and TT-rank of tensors with examples. Zbl 1283.15075
Grasedyck, Lars; Hackbusch, Wolfgang
2011
A fitted mesh method for a class of singularly perturbed parabolic problems with a boundary turning point. Zbl 1036.65068
Dunne, Raymond K.; O’Riordan, Eugene; Shishkin, Grigorii I.
2003
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses. Zbl 1360.74134
Chen, Gang; Xie, Xiaoping
2016
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
2009
Efficient preconditioners for large scale binary Cahn-Hilliard models. Zbl 1284.65047
Boyanova, Petia; Do-Quang, Minh; Neytcheva, Maya
2012
Robust approximation of singularly perturbed delay differential equations by the $$hp$$ finite element method. Zbl 1284.65090
Nicaise, Serge; Xenophontos, Christos
2013
Analysis of model variance for ensemble based turbulence modeling. Zbl 1311.76033
Jiang, Nan; Kaya, Songul; Layton, William
2015
Space mapping and defect correction. Zbl 1071.65086
Echeverría, D.; Hemker, P. W.
2005
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
2017
On a nonlocal boundary value problem for two dimensional elliptic equation. Zbl 1046.65084
Berikelashvili, Givi
2003
Transformation of Chebyshev-Bernstein polynomial basis. Zbl 1046.41005
Rababah, Abedallah
2003
Numerical treatments for Volterra delay integro-differential equations. Zbl 1184.65122
Rihan, F. A.; Doha, E. H.; Hassan, M. I.; Kamel, N. M.
2009
An efficient algorithm for computation of MHD flow ensembles. Zbl 1419.76443
2017
Construction of scalar and vector finite element families on polygonal and polyhedral meshes. Zbl 1348.65163
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
2016
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
2013
Jacobi-Bernstein basis transformation. Zbl 1071.41006
Rababah, Abedallah
2004
Semi-Lagrangian integration schemes for viscous incompressible flows. Zbl 1098.76529
Seaid, M.
2002
Some open questions in the numerical analysis of singularly perturbed differential equations. Zbl 1329.65278
Roos, Hans-Görg; Stynes, Martin
2015
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156
Lashuk, Ilya V.; Vassilevski, Panayot S.
2014
Finite element analysis of an exponentially graded mesh for singularly perturbed problems. Zbl 1315.65097
Constantinou, Philippos; Xenophontos, Christos
2015
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
2001
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
2017
Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079
Bochev, P. B.; Choi, J.
2001
On the quasi-monotone modified method of characteristics for transport-diffusion problems with reactive sources. Zbl 1075.76642
Seaid, M.
2002
An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173
Ford, Neville J.; Pal, Kamal; Yan, Yubin
2015
On the numerical solution of some non-linear stochastic differential equations using the semi-discrete method. Zbl 1329.65015
Halidias, Nikolaos; Stamatiou, Ioannis S.
2016
A natural adaptive nonconforming FEM of quasi-optimal complexity. Zbl 1283.65098
Rabus, H.
2010
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
2014
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. Zbl 1398.76036
Ahmed, Naveed; Linke, Alexander; Merdon, Christian
2018
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
2018
Stabilized mixed finite element methods for linear elasticity on simplicial grids in $$\mathbb{R}^{n}$$. Zbl 1422.65378
Chen, Long; Hu, Jun; Huang, Xuehai
2017
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
Additive average Schwarz methods for discretization of elliptic problems with highly discontinuous coefficients. Zbl 1283.65019
Dryja, M.; Sarkis, M.
2010
Polynomial of best uniform approximation to $$1/x$$ and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
2012
Stability of Petrov-Galerkin discretizations: application to the space-time weak formulation for parabolic evolution problems. Zbl 1290.65086
Mollet, Christian
2014
The maximum principle and some of its applications. Zbl 0995.65090
Matus, Piotr
2002
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
2019
Performance of H-LU preconditioning for sparse matrices. Zbl 1156.65042
Grasedyck, L.; Hackbusch, W.; Kriemann, R.
2008
An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1040.65066
2003
Development of the tau method for the numerical solution of two-dimensional linear Volterra integro-differential equations. Zbl 1188.65178
Tari, A.; Rahimi, M. Y.; Shahmorad, S.; Talati, F.
2009
Exact difference schemes for time-dependent problems. Zbl 1082.65076
Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M.
2005
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
2018
Hybrid spectral difference methods for an elliptic equation. Zbl 1359.65257
Jeon, Youngmok; Park, Eun-Jae; Shin, Dong-wook
2017
A discrete vector calculus in tensor grids. Zbl 1283.65099
Robidoux, Nicolas; Steinberg, Stanly
2011
Polynomial approximation on spheres – generalizing de la Vallée-Poussin. Zbl 1284.42078
Sloan, Ian H.
2011
Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162
Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng
2012
Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun
2012
A reliable residual based a posteriori error estimator for a quadratic finite element method for the elliptic obstacle problem. Zbl 1315.65057
Gudi, Thirupathi; Porwal, Kamana
2015
On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108
Matus, Piotr
2014
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. Zbl 1401.65096
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
2018
Domain decomposition methods with overlapping subdomains for the time-dependent problems of mathematical physics. Zbl 1156.65084
Vabishchevich, P. N.
2008
A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257
Herty, M.; Moutari, S.
2009
Solving nonlinear Volterra-Fredholm integro-differential equations using the modified Adomian decomposition method. Zbl 1183.41019
2009
Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised Oseen problem. Zbl 1245.76051
Matthies, G.; Lube, G.; Rohe, L.
2009
Numerical solution of parabolic problems based on a weak space-time formulation. Zbl 1355.65133
2017
Sharp expressions for the stabilization parameters in symmetric interior-penalty discontinuous Galerkin finite element approximations of fourth-order elliptic problems. Zbl 1136.65098
Mozolevski, I.; Bösing, P. R.
2007
A time-stepping DPG scheme for the heat equation. Zbl 1359.65200
Führer, Thomas; Heuer, Norbert; Sen Gupta, Jhuma
2017
Computation of the Hartree-Fock exchange by the tensor-structured methods. Zbl 1283.65037
Khoromskaia, V.
2010
On an efficient finite element method for Navier-Stokes-$$\overline{\omega}$$ with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
2011
A singularly perturbed convection diffusion turning point problem with an interior layer. Zbl 1284.65157
O’Riordan, Eugene; Quinn, Jason
2012
Boundary layers in a two-point boundary value problem with a Caputo fractional derivative. Zbl 1318.34010
Stynes, Martin; Gracia, José Luis
2015
High accuracy method for magnetohydrodynamics system in Elsässer variables. Zbl 1309.76225
Wilson, Nicholas; Labovsky, Alexander; Trenchea, Catalin
2015
A remark on newest vertex bisection in any space dimension. Zbl 1297.65189
Gallistl, Dietmar; Schedensack, Mira; Stevenson, Rob P.
2014
A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems. Zbl 1434.65252
Endtmayer, Bernhard; Wick, Thomas
2017
The dual-weighted residual estimator realized on polygonal meshes. Zbl 1422.65417
Weißer, Steffen; Wick, Thomas
2018
Difference schemes with nonlocal boundary conditions. Zbl 0984.65081
Goolin, Alexei V.; Ionkin, Nikolai I.; Morozova, Valentina A.
2001
Robust hybrid high-order method on polytopal meshes with small faces. Zbl 1482.65204
Droniou, Jérôme; Yemm, Liam
2022
Using complete monotonicity to deduce local error estimates for discretisations of a multi-term time-fractional diffusion equation. Zbl 1484.65175
Chen, Hu; Stynes, Martin
2022
A totally relaxed, self-adaptive subgradient extragradient method for variational inequality and fixed point problems in a Banach space. Zbl 1482.65097
Jolaoso, Lateef Olakunle; Taiwo, Adeolu; Alakoya, Timilehin Opeyemi; Mewomo, Oluwatosin Temitope; Dong, Qiao-Li
2022
On the finite element approximation of fourth-order singularly perturbed eigenvalue problems. Zbl 1485.65123
Roos, Hans-Görg; Savvidou, Despo; Xenophontos, Christos
2022
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Zbl 1480.35214
Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P.
2021
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Zbl 1476.65290
Becker, Roland; Innerberger, Michael; Praetorius, Dirk
2021
Hierarchical Argyris finite element method for adaptive and multigrid algorithms. Zbl 1473.65291
Carstensen, Carsten; Hu, Jun
2021
Innerberger, Michael; Praetorius, Dirk
2021
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides. Zbl 1476.65294
Carstensen, Carsten; Nataraj, Neela
2021
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
2021
Uniform preconditioners of linear complexity for problems of negative order. Zbl 1476.65037
Stevenson, Rob; van Venetië, Raymond
2021
Analysis of backward Euler primal DPG methods. Zbl 1476.65299
Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2021
Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions. Zbl 1476.65191
Shen, Jinye; Stynes, Martin; Sun, Zhi-Zhong
2021
An adaptive finite element scheme for the Hellinger-Reissner elasticity mixed eigenvalue problem. Zbl 1473.65278
Bertrand, Fleurianne; Boffi, Daniele; Ma, Rui
2021
$$H(\mathrm{curl}^2)$$-conforming spectral element method for quad-curl problems. Zbl 1473.65319
Wang, Lixiu; Li, Huiyuan; Zhang, Zhimin
2021
Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem. Zbl 1490.74095
Wick, Thomas
2021
Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. Zbl 1473.65344
Witte, Julius; Arndt, Daniel; Kanschat, Guido
2021
Local discontinuous Galerkin method for time-dependent singularly perturbed semilinear reaction-diffusion problems. Zbl 1473.65186
Cheng, Yao; Song, Chuanjing; Mei, Yanjie
2021
A semi-uniform multigrid algorithm for solving elliptic interface problems. Zbl 1473.65339
Jo, Gwanghyun; Kwak, Do Young
2021
Error analysis of Nitsche’s and discontinuous Galerkin methods of a reduced Landau-de Gennes problem. Zbl 1473.65312
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela
2021
Morley FEM for a distributed optimal control problem governed by the von Kármán equations. Zbl 1477.49041
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika
2021
On the energy stable approximation of Hamiltonian and gradient systems. Zbl 1484.37096
Egger, Herbert; Habrich, Oliver; Shashkov, Vsevolod
2021
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators. Zbl 1475.65195
Kreuzer, Christian; Verfürth, Rüdiger; Zanotti, Pietro
2021
A gradient discretisation method for anisotropic reaction-diffusion models with applications to the dynamics of brain tumors. Zbl 07446781
Alnashri, Yahya; Alzubaidi, Hasan
2021
Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem. Zbl 1451.65146
Huang, Chaobao; Liu, Xiaohui; Meng, Xiangyun; Stynes, Martin
2020
A fully-mixed finite element method for the $$n$$-dimensional Boussinesq problem with temperature-dependent parameters. Zbl 1436.65168
Almonacid, Javier A.; Gatica, Gabriel N.
2020
Adaptive mesh refinement in 2D – an efficient implementation in Matlab. Zbl 1451.65217
Funken, Stefan A.; Schmidt, Anja
2020
Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions. Zbl 1451.65153
Takhirov, Aziz; Waters, Jiajia
2020
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
2020
On the stable difference schemes for the Schrödinger equation with time delay. Zbl 1437.65159
Ashyralyev, Allaberen; Agirseven, Deniz
2020
A new probabilistic interpretation of the Bramble-Hilbert lemma. Zbl 1437.65179
2020
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
2020
Crouzeix-Raviart finite element approximation for the parabolic obstacle problem. Zbl 1436.65182
Gudi, Thirupathi; Majumder, Papri
2020
Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem. Zbl 1436.65166
Bertrand, Fleurianne; Boffi, Daniele; Stenberg, Rolf
2020
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I.
2020
A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. Zbl 1436.49006
Wang, Tao; Yang, Chaochao; Xie, Xiaoping
2020
Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. Zbl 1437.65124
Jiang, Suzhen; Liao, Kaifang; Wei, Ting
2020
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2020
Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V.
2020
A new mixed functional-probabilistic approach for finite element accuracy. Zbl 1451.65177
2020
Convergence and preconditioning of inexact inverse subspace iteration for generalized eigenvalue problems. Zbl 1437.65028
2020
Composite finite element approximation for parabolic problems in nonconvex polygonal domains. Zbl 1439.65119
Pramanick, Tamal; Sinha, Rajen Kumar
2020
Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity. Zbl 1437.65176
Botti, Michele; Riedlbeck, Rita
2020
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 07194988
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
2020
Eigenvalue problems for exponential-type kernels. Zbl 1437.65230
Cai, Difeng; Vassilevski, Panayot S.
2020
Quasi-overlapping semi-discrete Schwarz waveform relaxation algorithms: the hyperbolic problem. Zbl 1456.65098
2020
A reduced Crouzeix-Raviart immersed finite element method for elasticity problems with interfaces. Zbl 1451.65194
Jo, Gwanghyun; Kwak, Do Young
2020
On the parameter choice in the multilevel augmentation method. Zbl 1456.65037
Yang, Suhua; Luo, Xingjun; Zeng, Chunmei; Xu, Zhihai; Hu, Wenyu
2020
Finite difference approximation of a generalized time-fractional telegraph equation. Zbl 1456.65061
Delić, Aleksandra; Jovanović, Boško S.; Živanović, Sandra
2020
Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. Zbl 1451.65197
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey
2020
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 07284944
Langer, Ulrich; Schafelner, Andreas
2020
Incomplete iterative implicit schemes. Zbl 1454.65065
Vabishchevich, Petr N.
2020
Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. Zbl 1455.65110
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes
2020
A first-order explicit-implicit splitting method for a convection-diffusion problem. Zbl 1456.65076
Pani, Amiya K.; Thomée, Vidar; Vasudeva Murthy, A. S.
2020
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
2019
Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media. Zbl 1420.65100
Ernesti, Johannes; Wieners, Christian
2019
The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces. Zbl 1459.65223
Muga, Ignacio; Tyler, Matthew J. W.; van der Zee, Kristoffer G.
2019
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
2019
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
2019
Superconvergent DPG methods for second-order elliptic problems. Zbl 1420.65121
Führer, Thomas
2019
The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin’s method. Zbl 1429.35070
Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G.
2019
Stabilizability of infinite-dimensional systems by finite-dimensional controls. Zbl 1432.93263
Raymond, Jean-Pierre
2019
Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916
Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey
2019
Projection methods for dynamical low-rank approximation of high-dimensional problems. Zbl 1448.65064
Kieri, Emil; Vandereycken, Bart
2019
A non-conforming saddle point least squares approach for an elliptic interface problem. Zbl 1421.74094
Bacuta, Constantin; Jacavage, Jacob
2019
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
2019
Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients. Zbl 1464.65123
Mantzaflaris, Angelos; Scholz, Felix; Toulopoulos, Ioannis
2019
The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078
Makarov, Volodymyr; Mayko, Nataliya
2019
A posteriori error estimation for planar linear elasticity by stress reconstruction. Zbl 1420.65117
Bertrand, Fleurianne; Moldenhauer, Marcel; Starke, Gerhard
2019
A hybrid high-order method for highly oscillatory elliptic problems. Zbl 1434.65246
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon
2019
A tensor decomposition algorithm for large ODEs with conservation laws. Zbl 1420.65030
Dolgov, Sergey V.
2019
Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem. Zbl 1420.65118
Biswas, Rahul; Dond, Asha K.; Gudi, Thirupathi
2019
Improved analysis and simulation of a time-domain carpet cloak model. Zbl 1421.78024
Li, Jichun; Meng, Chen; Huang, Yunqing
2019
Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems. Zbl 1420.65108
Carstensen, Carsten; Dond, Asha K.; Rabus, Hella
2019
Adaptive strategies for transport equations. Zbl 1420.65109
Dahmen, Wolfgang; Stevenson, Rob P.
2019
Camellia: a rapid development framework for finite element solvers. Zbl 1426.65147
Roberts, Nathan V.
2019
Alternative enriched test spaces in the DPG method for singular perturbation problems. Zbl 1420.65126
Salazar, Jacob; Mora, Jaime; Demkowicz, Leszek
2019
Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. Zbl 1430.76361
Barrenechea, Gabriel R.; Bosy, Michał; Dolean, Victorita; Nataf, Frédéric; Tournier, Pierre-Henri
2019
Operator learning approach for the limited view problem in photoacoustic tomography. Zbl 1430.92043
Dreier, Florian; Pereverzyev, Sergiy jun.; Haltmeier, Markus
2019
A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2019
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084
Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G.
2019
Analysis of FEAST spectral approximations using the DPG discretization. Zbl 1420.65114
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey; Parker, Benjamin
2019
Fast integration of DPG matrices based on sum factorization for all the energy spaces. Zbl 1420.65125
Mora, Jaime; Demkowicz, Leszek
2019
The discrete Steklov-Poincaré operator using algebraic dual polynomials. Zbl 1420.65129
Zhang, Yi; Jain, Varun; Palha, Artur; Gerritsma, Marc
2019
An optimal embedded discontinuous Galerkin method for second-order elliptic problems. Zbl 1434.65288
Zhang, Xiao; Xie, Xiaoping; Zhang, Shiquan
2019
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
2019
An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations. Zbl 1420.65112
Anjam, Immanuel; Pauly, Dirk
2019
Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time. Zbl 1420.65107
2019
An explicit-implicit splitting method for a convection-diffusion problem. Zbl 1420.65089
Thomée, Vidar; Vasudeva Murthy, A. S.
2019
Mixed schemes for fourth-order DIV equations. Zbl 1421.76154
Fan, Ronghong; Liu, Yanru; Zhang, Shuo
2019
Stabilizability of infinite dimensional systems by finite dimensional control. Zbl 1422.93158
Raymond, Jean-Pierre
2019
Least-squares methods for elasticity and Stokes equations with weakly imposed symmetry. Zbl 1420.65115
Bertrand, Fleurianne; Cai, Zhiqiang; Park, Eun Young
2019
Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem. Zbl 1382.65275
Gracia, José Luis; O&rsquo;Riordan, Eugene; Stynes, Martin
2018
Müntz spectral methods for the time-fractional diffusion equation. Zbl 1382.65343
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju
2018
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. Zbl 1398.76036
Ahmed, Naveed; Linke, Alexander; Merdon, Christian
2018
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
2018
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
2018
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. Zbl 1401.65096
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
2018
The dual-weighted residual estimator realized on polygonal meshes. Zbl 1422.65417
Weißer, Steffen; Wick, Thomas
2018
...and 396 more Documents
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### Cited by 3,413 Authors

 37 Di Pietro, Daniele Antonio 36 Praetorius, Dirk 34 Carstensen, Carsten 34 Ern, Alexandre 27 Khoromskiĭ, Boris Nikolaevich 23 Antonietti, Paola Francesca 23 Langer, Ulrich 22 Makarov, Volodymyr Leonidovych 22 Matus, Pëtr Paŭlavich 21 Führer, Thomas 21 George, Santhosh 20 Vabishchevich, Pëtr Nikolaevich 19 Burman, Erik 18 Feischl, Michael 18 Repin, Sergeĭ Igorevich 18 Seaïd, Mohammed 17 Gracia, José Luis 16 O’Riordan, Eugene 15 Tröltzsch, Fredi 15 Vassilevski, Panayot Spirov 14 Cockburn, Bernardo 14 Droniou, Jérôme 14 Gantner, Gregor 14 Gavrilyuk, Ivan P. 14 Khoromskaia, Venera 14 Linke, Alexander 14 Stynes, Martin 14 Yan, Yubin 13 Allahviranloo, Tofigh 13 Ashyralyev, Allaberen 13 Chung, Tsz Shun Eric 13 Dolgov, Sergey V. 12 El-Amrani, Mofdi 12 Huang, Jianguo 12 Jiang, Nan 12 Karkulik, Michael 12 Pani, Amiya Kumar 12 Peterseim, Daniel 11 Botti, Lorenzo 11 Demkowicz, Leszek F. 11 Gudi, Thirupathi 11 Jeon, Youngmok 11 Lazarov, Raytcho D. 11 Oseledets, Ivan V. 11 Verani, Marco 11 Vohralík, Martin 11 Wick, Thomas 11 Yang, Yidu 11 Zikatanov, Ludmil T. 10 Altmann, Robert 10 Beirão da Veiga, Lourenço 10 Boffi, Daniele 10 Clavero, Carmelo 10 Emmrich, Etienne 10 Feng, Minfu 10 Gaspar, Francisco José 10 Huang, Xuehai 10 Kadalbajoo, Mohan K. 10 Klawonn, Axel 10 Melenk, Jens Markus 10 Merdon, Christian 10 Natesan, Srinivasan 10 Passacantando, Mauro 10 Tamilselvan, Ayyadurai 10 Vulkov, Lubin G. 9 Alikhanov, Anatoly A. 9 Antil, Harbir 9 Bause, Markus 9 Brenner, Susanne Cecelia 9 Chen, Gang 9 Gallistl, Dietmar 9 Han, Jiayu 9 Manzini, Gianmarco 9 Margenov, Svetozar D. 9 Mora, David 9 Nataraj, Neela 9 Park, Eun-Jae 9 Schwab, Christoph 9 Xenophontos, Christos A. 9 Xie, Hehu 9 Xu, Jinchao 9 Zhao, Jikun 8 Bi, Hai 8 Feng, Xiaobing 8 Ferreira, José Augusto 8 Gatica, Gabriel N. 8 Haberl, Alexander 8 Hackbusch, Wolfgang 8 Hu, Jun 8 Hu, Xiaozhe 8 Ji, Xia 8 Kaya, Songul 8 Nicaise, Serge 8 Rahman, Talal 8 Rebholz, Leo G. 8 Rheinbach, Oliver 8 Steinbach, Olaf 8 Sun, Jiguang 8 Zhang, Bei 7 Argyros, Ioannis Konstantinos ...and 3,313 more Authors
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### Cited in 307 Journals

 166 Computers & Mathematics with Applications 156 Journal of Computational and Applied Mathematics 140 Journal of Scientific Computing 113 SIAM Journal on Scientific Computing 95 Journal of Computational Physics 93 Applied Mathematics and Computation 89 Computer Methods in Applied Mechanics and Engineering 88 Computational Methods in Applied Mathematics 84 SIAM Journal on Numerical Analysis 76 Applied Numerical Mathematics 69 Numerische Mathematik 68 Mathematics of Computation 64 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 39 Numerical Algorithms 31 Numerical Methods for Partial Differential Equations 31 Differential Equations 29 Advances in Computational Mathematics 28 Calcolo 27 Computational and Applied Mathematics 23 Mathematics and Computers in Simulation 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 International Journal of Computer Mathematics 20 Journal of Mathematical Analysis and Applications 20 BIT 19 Communications in Computational Physics 17 Computational Mathematics and Mathematical Physics 16 Applied Mathematics Letters 16 ETNA. Electronic Transactions on Numerical Analysis 15 International Journal for Numerical Methods in Engineering 15 Numerical Linear Algebra with Applications 14 Numerical Functional Analysis and Optimization 14 Computational Mechanics 13 Mathematical Modelling and Analysis 12 Applicable Analysis 12 Linear Algebra and its Applications 12 Journal of Applied Mathematics and Computing 11 Computers and Fluids 11 Applied Mathematical Modelling 11 Abstract and Applied Analysis 11 Multiscale Modeling & Simulation 11 International Journal of Applied and Computational Mathematics 10 Journal of Mathematical Sciences (New York) 10 Journal of Numerical Mathematics 10 Advances in Applied Mathematics and Mechanics 9 SIAM Journal on Matrix Analysis and Applications 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Communications in Nonlinear Science and Numerical Simulation 9 Lobachevskii Journal of Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 9 Communications on Applied Mathematics and Computation 8 Inverse Problems 8 Mathematical Methods in the Applied Sciences 8 Information Sciences 8 Journal of Optimization Theory and Applications 8 SIAM Journal on Control and Optimization 8 Computational Optimization and Applications 8 Journal of Inverse and Ill-Posed Problems 8 Mathematical Problems in Engineering 8 Vietnam Journal of Mathematics 8 Inverse Problems in Science and Engineering 8 SMAI Journal of Computational Mathematics 7 Computer Physics Communications 7 Lithuanian Mathematical Journal 7 Engineering Analysis with Boundary Elements 7 Foundations of Computational Mathematics 7 Central European Journal of Mathematics 7 Oberwolfach Reports 6 Journal of Computational Mathematics 6 SIAM Journal on Applied Mathematics 6 SIAM Journal on Mathematical Analysis 6 Russian Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Soft Computing 6 Fractional Calculus & Applied Analysis 6 Advances in Difference Equations 6 Mathematical Control and Related Fields 6 S$$\vec{\text{e}}$$MA Journal 6 East Asian Journal on Applied Mathematics 5 Ukrainian Mathematical Journal 5 Chaos, Solitons and Fractals 5 Constructive Approximation 5 Journal of Global Optimization 5 Journal of Difference Equations and Applications 5 Computational Geosciences 5 International Journal of Numerical Analysis and Modeling 5 Boundary Value Problems 5 International Journal of Differential Equations 5 Results in Applied Mathematics 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Journal of Differential Equations 4 Computer Aided Geometric Design 4 Journal of Integral Equations and Applications 4 Computational Mathematics and Modeling 4 Applications of Mathematics 4 Cybernetics and Systems Analysis 4 Applied and Computational Harmonic Analysis 4 Journal of Mathematical Chemistry 4 Computing and Visualization in Science 4 Differential Equations and Dynamical Systems 4 Archives of Computational Methods in Engineering ...and 207 more Journals
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### Cited in 49 Fields

 2,222 Numerical analysis (65-XX) 1,088 Partial differential equations (35-XX) 507 Fluid mechanics (76-XX) 211 Mechanics of deformable solids (74-XX) 196 Calculus of variations and optimal control; optimization (49-XX) 178 Ordinary differential equations (34-XX) 102 Operator theory (47-XX) 89 Integral equations (45-XX) 85 Biology and other natural sciences (92-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 73 Optics, electromagnetic theory (78-XX) 72 Probability theory and stochastic processes (60-XX) 71 Real functions (26-XX) 68 Approximations and expansions (41-XX) 60 Operations research, mathematical programming (90-XX) 53 Computer science (68-XX) 47 Systems theory; control (93-XX) 38 Statistical mechanics, structure of matter (82-XX) 27 Functional analysis (46-XX) 26 Global analysis, analysis on manifolds (58-XX) 26 Geophysics (86-XX) 25 Statistics (62-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Special functions (33-XX) 19 Classical thermodynamics, heat transfer (80-XX) 19 Information and communication theory, circuits (94-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Integral transforms, operational calculus (44-XX) 13 General and overarching topics; collections (00-XX) 12 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 10 Quantum theory (81-XX) 8 Combinatorics (05-XX) 6 Differential geometry (53-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-XX)