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Ågotnes, Joachim Jørgensen; Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja

Continuous inequalities: introduction, examples and related topics. (English) Zbl 07919544

Duduchava, Roland (ed.) et al., Tbilisi analysis and PDE seminar. Extended abstracts of the 2020–2023. Seminar talks. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 7, 1-10 (2024).

MSC: 26D15 26D10 26D20 39B62 46E27

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Ashby, Ben S.; Pryer, Tristan

Duality-based error control for the Signorini problem. (English) Zbl 07892758

SIAM J. Numer. Anal. 62, No. 4, 1687-1712 (2024).

MSC: 35J86 65N15 65N30 65N50

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Tam, Lam T. T.; Hien, Huynh M.

New refinements of Aczél-type inequalities and their applications. (English) Zbl 07878689

J. Math. Inequal. 18, No. 1, 25-37 (2024).

MSC: 26D15 26D10

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Cancès, Eric; Hassan, Muhammad; Vidal, Laurent

Modified-operator method for the calculation of band diagrams of crystalline materials. (English) Zbl 1533.65212

Math. Comput. 93, No. 347, 1203-1245 (2024).

MSC: 65N25 65N30 65F15 65D30 65N50 65N12 65N15 65Z05 35B45 78A60 74E15 74F15 82D80 35Q55

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Feng, Fang; Yang, Hui; Zhu, Shengfeng

Shape optimization with virtual element method. (English) Zbl 1533.65225

Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107876, 20 p. (2024).

MSC: 65N30 65N50 65K10 65N85 49Q10 49M41 49R05 49J20 49K40 35A15 35J25 76D07 76M21 74B10

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Nikiforov, D. Y.; Yang, Y.

Meshfree multiscale method for Richards’ equation in fractured media. (English) Zbl 07853799

Lobachevskii J. Math. 44, No. 10, 4135-4142 (2023).

MSC: 65M60 65M06 65N30 65N50 47J25 76S05 76M10 76M20 74F10 74L10 35A15 35Q35

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Montazeri, Saeed

New refinements of the Cauchy-Bunyakovsky inequality. (English) Zbl 1537.26014

J. Inequal. Appl. 2023, Paper No. 161, 5 p. (2023).

MSC: 26D15 26D10

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Fanaskov, V. S.; Oseledets, I. V.

Spectral neural operators. (English. Russian original) Zbl 1535.65302

Dokl. Math. 108, Suppl. 2, S226-S232 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 2, 72-79 (2023).

MSC: 65N99 65N50 65T50 65T60 65N30 68T07 44A05 41A50 41A60

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Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.

A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1526.65052

SIAM J. Numer. Anal. 61, No. 5, 2352-2380 (2023).

Reviewer: Bülent Karasözen (Ankara)

MSC: 65N30 65J10 65N15 65N12 65N50 65N85 41A25

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Duan, Beiping; Yang, Zongze

A quadrature scheme for steady-state diffusion equations involving fractional power of regularly accretive operator. (English) Zbl 1522.65171

SIAM J. Sci. Comput. 45, No. 5, A2226-A2249 (2023).

MSC: 65M60 65M06 65N30 65N50 65R20 65N12 65N15 35S15 35R09 35B65 26A33 35R11

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Khandelwal, Rohit; Porwal, Kamana; Wadhawan, Tanvi

Adaptive quadratic finite element method for the unilateral contact problem. (English) Zbl 07708321

J. Sci. Comput. 96, No. 1, Paper No. 20, 30 p. (2023).

MSC: 65N30 65N50 65N15 74M15 74B20 74S05 35A23 35Q74

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Heid, Pascal

A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations. (English) Zbl 1521.65042

Arch. Math. 121, No. 1, 55-65 (2023).

MSC: 65J15 65N50 47H07

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Perugia, Ilaria; Schwab, Christoph; Zank, Marco

Exponential convergence of \(hp\)-time-stepping in space-time discretizations of parabolic PDEs. (English) Zbl 1516.65097

ESAIM, Math. Model. Numer. Anal. 57, No. 1, 29-67 (2023).

Reviewer: Petr Sváček (Praha)

MSC: 65M60 65N30 65J15 65N12 65N50 35B65

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Ciarlet, Patrick; Do, Minh Hieu; Madiot, François

A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations. (English) Zbl 1515.65127

ESAIM, Math. Model. Numer. Anal. 57, No. 1, 1-27 (2023).

MSC: 65J10 65N15 65N30 65N50

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Luli, Garving K.; O’Neill, Kevin

On \(C^m\) solutions to systems of linear inequalities. (English) Zbl 1522.46053

Adv. Math. 422, Article ID 109025, 17 p. (2023).

MSC: 46T20 47J20 41A29 26B05 14P10

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Amrein, Mario; Heid, Pascal; Wihler, Thomas P.

A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. (English) Zbl 07679127

SIAM J. Numer. Anal. 61, No. 2, 755-783 (2023).

MSC: 65-XX 35A15 35B38 65J15 47J05 65M25 65M50

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Xu, Yuesheng; Zeng, Taishan

Sparse deep neural network for nonlinear partial differential equations. (English) Zbl 1538.65592

Numer. Math., Theory Methods Appl. 16, No. 1, 58-78 (2023).

MSC: 65N99 47A52 65D15 65F50 65N50 68T07

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Saini, Sumit; Das, Pratibhamoy; Kumar, Sunil

Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers. (English) Zbl 1506.65068

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 66, 27 p. (2023).

MSC: 65H10 65J10 65L11 65M50 35K40 35K51

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Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph

Exponential convergence of hp FEM for spectral fractional diffusion in polygons. (English) Zbl 1511.65117

Numer. Math. 153, No. 1, 1-47 (2023).

MSC: 65N30 65N50 65N12 65N15 35J86 35B35 26A33 35R11

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Capodaglio, Giacomo; D’Elia, Marta; Gunzburger, Max; Bochev, Pavel; Klar, Manuel; Vollmann, Christian

A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. (English) Zbl 1533.65246

Numer. Methods Partial Differ. Equations 38, No. 6, 1738-1766 (2022).

MSC: 65N55 65N30 65N50 65Y05 35A23

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Plokhotnikov, K. È.

On the statistical generator of solutions to the Schrödinger equation. (Russian. English summary) Zbl 1517.81050

Mat. Model. 34, No. 12, 75-90 (2022).

MSC: 81Q05 65M50 34L40 65C05 81U10

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Xu, Fei; Huang, Qiumei; Xie, Manting

An efficient adaptive multigrid method for the elasticity eigenvalue problem. (English) Zbl 1502.65259

BIT 62, No. 4, 2005-2033 (2022).

MSC: 65N55 65N50 65N25 65N30 65N12 65N15 65J15 74B99 74S05

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Banz, Lothar; Hernández, Orlando; Stephan, Ernst P.

A priori and a posteriori error estimates for \(hp\)-FEM for a Bingham type variational inequality of the second kind. (English) Zbl 1524.65750

Comput. Math. Appl. 126, 14-30 (2022).

MSC: 65N30 65K15 65N15 65N50 76A05 35Q35 35A23

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Penner, David A. Craig; Zingg, David W.

Accurate high-order tensor-product generalized summation-by-parts discretizations of hyperbolic conservation laws: general curved domains and functional superconvergence. (English) Zbl 1497.65232

J. Sci. Comput. 93, No. 2, Paper No. 36, 37 p. (2022).

MSC: 65N30 65D07 65H10 65Y05 65N12 65N50 35Q31 35Q35

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Dostál, Zdeněk; Horák, David; Kružík, Jakub; Brzobohatý, Tomáš; Vlach, Oldřich

Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. (English) Zbl 1502.65198

Numer. Algorithms 91, No. 2, 773-801 (2022).

MSC: 65N30 65N55 65N50 65K15 65Y05 35J86 49M41

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Adak, D.; Manzini, G.; Natarajan, S.

Virtual element approximation of two-dimensional parabolic variational inequalities. (English) Zbl 1524.65500

Comput. Math. Appl. 116, 48-70 (2022).

MSC: 65M60 49J40 65M06 65N30 65M12 65M15 35B65 49J35 65N50 65K10

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Walloth, Mirjam; Wollner, Winnifried

A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. (English) Zbl 1490.65212

SIAM J. Sci. Comput. 44, No. 3, B479-B505 (2022).

MSC: 65M60 35J86 65M15 65M50 74R10 74S05

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Breda, Dimitri; Liessi, Davide; Vermiglio, Rossana

Piecewise discretization of monodromy operators of delay equations on adapted meshes. (English) Zbl 1492.65183

J. Comput. Dyn. 9, No. 2, 103-121 (2022).

MSC: 65L03 34K13 34K20 65L15 65L50 65L60 65P30

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Gantner, Gregor; Praetorius, Dirk

Adaptive BEM for elliptic PDE systems. I: Abstract framework, for weakly-singular integral equations. (English) Zbl 1490.65248

Appl. Anal. 101, No. 6, 2085-2118 (2022).

MSC: 65N15 45P05 65N30 65N38 65N50 65R20

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Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo

On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. (English) Zbl 1508.65163

SIAM J. Numer. Anal. 60, No. 2, 659-687 (2022).

Reviewer: Kai Schneider (Marseille)

MSC: 65N35 65N12 65N50 65D05 65D15 65C30 60H25 65N15 35R60

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Romanovski, M.

A locally sequential refinement of the growth dynamics identification. (English) Zbl 07484733

Inverse Probl. Sci. Eng. 29, No. 13, 2719-2756 (2021).

MSC: 34A34 34A55 47A52 65L09 65J20 65L08 65R30 65N21

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Guan, Qingguang

Some estimates of virtual element methods for fourth order problems. (English) Zbl 1478.65126

Electron. Res. Arch. 29, No. 6, 4099-4118 (2021).

MSC: 65N30 65N50 35J40 65N15 31A30

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Chambolle, Antonin; Pock, Thomas

Learning consistent discretizations of the total variation. (English) Zbl 1477.49047

SIAM J. Imaging Sci. 14, No. 2, 778-813 (2021).

MSC: 49M25 35J87 35R35 94A08 65D18 65N06 65N30 65N50

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Theljani, Anis

Multi-scale non-standard fourth-order PDE in image denoising and its fixed point algorithm. (English) Zbl 1471.65126

Int. J. Numer. Anal. Model. 18, No. 1, 38-61 (2021).

MSC: 65M32 47J25 65M50 65M22 94A08 35G30 35Q68 65J15

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Heid, Pascal; Wihler, Thomas P.

Adaptive local minimax Galerkin methods for variational problems. (English) Zbl 1481.65225

SIAM J. Sci. Comput. 43, No. 2, A1108-A1133 (2021).

Reviewer: Vit Dolejsi (Praha)

MSC: 65N30 65N50 35A15 35B38 35B25 35J91 47J25 49J35 49M25 58E05 58E30 65J15

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Heid, Pascal; Süli, Endre

Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids. arXiv:2109.05991

Preprint, arXiv:2109.05991 [math.NA] (2021).

MSC: 65J15 35Q35 65N50

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El-Deeb, A. A.; Krnić, Mario

Some Steffensen-type inequalities over time scale measure spaces. (English) Zbl 1499.26074

Filomat 34, No. 12, 4095-4106 (2020).

MSC: 26D10 26D15 34A40

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Rather, N. A.; Dar, Ishfaq; Iqbal, A.

On a refinement of Turán’s inequality. (English) Zbl 1460.26024

Complex Anal. Synerg. 6, No. 3, Paper No. 21, 5 p. (2020).

MSC: 26D10 41A17 30C15

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Sablin, M. N.

Difference differential operators with values at the midpoints of the sides of cells of a triangular grid. (English. Russian original) Zbl 1452.65300

Mosc. Univ. Comput. Math. Cybern. 44, No. 2, 97-108 (2020); translation from Vestn. Mosk. Univ., Ser. XV 2020, No. 2, 48-60 (2020).

MSC: 65N06 65N50

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Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey

Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. (English) Zbl 1451.65197

Comput. Methods Appl. Math. 20, No. 4, 643-676 (2020).

MSC: 65N30 65N15 65N50 35R06 35J20 35J61 49M29 65J15

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Deng, Yanling; Wang, Fei; Wei, Huayi

A posteriori error estimates of virtual element method for a simplified friction problem. (English) Zbl 1442.65360

J. Sci. Comput. 83, No. 3, Paper No. 52, 20 p. (2020).

MSC: 65N30 65N50 65N15 65N85 35J86 74M10 74S05

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Confalonieri, Roberto; Kutz, Oliver

Blending under deconstruction. The roles of logic, ontology, and cognition in computational concept invention. (English) Zbl 1444.68178

Ann. Math. Artif. Intell. 88, No. 5-6, 479-516 (2020).

MSC: 68T27 68T30 68U10

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Wang, Wansheng; Chen, Yingzi; Fang, Hua

On the variable two-step IMEX BDF method for parabolic integro-differential equations with nonsmooth initial data arising in finance. (English) Zbl 1422.65189

SIAM J. Numer. Anal. 57, No. 3, 1289-1317 (2019).

MSC: 65M06 65M55 65L60 91B25 91G60 65J10 65M12 35R09 45K05 65M50

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Berrone, S.; Scialò, S.; Vicini, F.

Parallel meshing, discretization, and computation of flow in massive discrete fracture networks. (English) Zbl 1433.65277

SIAM J. Sci. Comput. 41, No. 4, C317-C338 (2019).

Reviewer: Eric Chung (Hong Kong)

MSC: 65N30 65N15 65N50 65J15 68W10 68W40 86-08 35Q86 65Y10 05C80 65K10 86A05

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Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph

Tensor FEM for spectral fractional diffusion. (English) Zbl 1429.65272

Found. Comput. Math. 19, No. 4, 901-962 (2019).

MSC: 65N30 35J25 35R11 65N12

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Kiefer, Sandra; Schweitzer, Pascal

Upper bounds on the quantifier depth for graph differentiation in first-order logic. (English) Zbl 1440.68110

Log. Methods Comput. Sci. 15, No. 2, Paper No. 19, 19 p. (2019).

MSC: 68Q19 03C13 03C80 05C85

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Berrone, Stefano; Grappein, Denise; Pieraccini, Sandra; Scialo, Stefano

A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes. arXiv:1912.09744

Preprint, arXiv:1912.09744 [math.NA] (2019).

MSC: 65N30 65N15 65N50 65J15

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Banz, Lothar; Lamichhane, Bishnu P.; Stephan, Ernst P.

Higher order FEM for the obstacle problem of the \(p\)-Laplacian – a variational inequality approach. (English) Zbl 1440.65176

Comput. Math. Appl. 76, No. 7, 1639-1660 (2018).

MSC: 65N30 65N50 65N12 65N15 65K15 35J87 35J92

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Nasiri, Leila; Shkalikov, Andrei A.; Shakoori, Mahmood

A note on reverses of the Young type inequalities via Kantorovich constant. (English) Zbl 1413.47024

Stud. Sci. Math. Hung. 55, No. 3, 363-373 (2018).

Reviewer: Takeaki Yamazaki (Kawagoe)

MSC: 47A30 15A42 15A60

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Antil, Harbir; Otárola, Enrique

An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. (English) Zbl 1477.49044

IMA J. Numer. Anal. 38, No. 1, 198-226 (2018).

MSC: 49M25 35R11 65N15 65N30 65N50

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Batbold, Tserendorj; Krnić, Mario; Pečarić, Josip

More accurate Hilbert-type inequalities in a difference form. (English) Zbl 1401.26029

Result. Math. 73, No. 3, Paper No. 121, 18 p. (2018).

MSC: 26D10 26D15

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Tian, Jingfeng; Ha, Ming-Hu

Properties and refinements of Aczél-type inequalities. (English) Zbl 1391.26061

J. Math. Inequal. 12, No. 1, 175-189 (2018).

MSC: 26D15 26D10

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Choi, Daeshik; Krnić, Mario; Pečarić, Josip

More accurate classes of Jensen-type inequalities for convex and operator convex functions. (English) Zbl 06858110

Math. Inequal. Appl. 21, No. 2, 301-321 (2018).

MSC: 47A63 26A51 47A64

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Sánchez-Ruiz, Antonio A.; Ontañón, Santiago

Structural plan similarity based on refinements in the space of partial plans. (English) Zbl 1427.68285

Comput. Intell. 33, No. 4, 926-947 (2017).

MSC: 68T20

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Tian, Jingfeng; Yang, Zhen-Hang

Generalizations of Hu-type inequalities and their applications. (English) Zbl 1412.26063

J. Nonlinear Sci. Appl. 10, No. 4, 1971-1985 (2017).

MSC: 26D15 26D10

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Duboc, Ana Luísa; Paes, Aline; Zaverucha, Gerson

On the formal characterization of the FORTE_MBC theory revision operators. (English) Zbl 1402.68166

J. Log. Comput. 27, No. 8, 2551-2580 (2017).

MSC: 68T27 68N17

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Zhang, Shougui

Projection and self-adaptive projection methods for the Signorini problem with the BEM. (English) Zbl 1398.65327

Comput. Math. Appl. 74, No. 6, 1262-1273 (2017).

MSC: 65N38 65N50 35J86

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Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano

Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. (English. Russian original) Zbl 1482.47049

Sb. Math. 208, No. 11, 1602-1627 (2017); translation from Mat. Sb. 208, No. 11, 29-55 (2017).

MSC: 47B35 15B05 65F08 65F15 65L50

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Ardelyan, N. V.; Kosmachevskii, K. V.; Sablin, M. N.

Properties of grid boundary value problems for functions defined on grid cells and faces. (English. Russian original) Zbl 1385.65054

Mosc. Univ. Comput. Math. Cybern. 41, No. 3, 105-112 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 3, 3-9 (2017).

MSC: 65N06 35J46 65N50 65N15

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Sanchez, Eduardo J.; Miranda, Guillermo F.; Cela, Jose M.; Castillo, Jose E.

Supercritical-order mimetic operators on higher-dimensional staggered grids. (English) Zbl 1382.65357

Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 669-679 (2017).

MSC: 65N06 35J25 65N50

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Bajars, Janis; Chappell, David J.; Hartmann, Timo; Tanner, Gregor

Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with \(p\)-refinement. (English) Zbl 1377.35239

J. Sci. Comput. 72, No. 3, 1290-1312 (2017).

MSC: 35Q82 37C30 65R20 82-08 65N50

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Sablin, M. N.; Ardelyan, N. V.; Kosmachevskii, K. V.

Consistent grid operators with the cell-nodal definition of grid functions. (English. Russian original) Zbl 1369.65156

Mosc. Univ. Comput. Math. Cybern. 41, No. 1, 1-10 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 1, 3-12 (2017).

MSC: 65N50

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Krnić, Mario; Vuković, Predrag

A class of Hilbert-type inequalities obtained via the improved Young inequality. (English) Zbl 1357.26037

Result. Math. 71, No. 1-2, 185-196 (2017).

MSC: 26D15 26D10

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d’Almeida, Filomena D.; Fernandes, Rosário

Projection methods based on grids for weakly singular integral equations. (English) Zbl 1357.65329

Appl. Numer. Math. 114, 47-54 (2017).

MSC: 65R20 45B05 45E10

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Li, Xin; Chen, Falai; Kang, Hongmei; Deng, Jiansong

A survey on the local refinable splines. (English) Zbl 1338.65034

Sci. China, Math. 59, No. 4, 617-644 (2016).

MSC: 65D07 47A15

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Zhao, Lijing; Deng, Weihua

High order finite difference methods on non-uniform meshes for space fractional operators. (English) Zbl 1347.65130

Adv. Comput. Math. 42, No. 2, 425-468 (2016).

Reviewer: Fernando Casas (Castellon)

MSC: 65L12 65L20 26A33 34E13 65L50 34A08

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Cantin, Pierre; Ern, Alexandre

Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations. (English) Zbl 1336.65184

Comput. Methods Appl. Math. 16, No. 2, 187-212 (2016).

MSC: 65N22 65N12 65N15 35J25 65N50

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Tian, Jingfeng; Wu, Shanhe

New refinements of generalized Aczél’s inequality and their applications. (English) Zbl 1334.26063

J. Math. Inequal. 10, No. 1, 247-259 (2016).

MSC: 26D15 26D10

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Tian, Jing-Feng; Zhou, Yi-Jun

Note on Aczél-type inequality and Bellman-type inequality. (English) Zbl 1329.26045

J. Nonlinear Sci. Appl. 9, No. 3, 1316-1322 (2016).

MSC: 26D15 26D10

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Banz, Lothar; Schröder, Andreas

Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems. (English) Zbl 1443.65308

Comput. Math. Appl. 70, No. 8, 1721-1742 (2015).

MSC: 65N30 65K15 65N15 65N50 35J86

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Ontañón, Santiago; Plaza, Enric

Refinement-based disintegration: an approach to re-representation in relational learning. (English) Zbl 1373.68330

AI Commun. 28, No. 1, 35-46 (2015).

MSC: 68T05

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Gu, Qun; Gao, Weiguo; García-Cervera, Carlos J.

High order finite difference discretization for composite grid hierarchy and its applications. (English) Zbl 1388.65132

Commun. Comput. Phys. 18, No. 5, 1211-1233 (2015).

MSC: 65N06 65N50 35J57 47A52

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Sablin, M. N.; Ardelyan, N. V.; Kosmachevskii, K. V.

Consistent grid analogs of invariant differential and boundary operators on an irregular triangular grid in the case of a grid nodal approximation. (English. Russian original) Zbl 1327.65203

Mosc. Univ. Comput. Math. Cybern. 39, No. 2, 49-57 (2015); translation from Vestn. Mosk. Univ., Ser. XV 2015, No. 2, 3-10 (2015).

MSC: 65N06 47F05 65N50

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Kapica, Rafał; Morawiec, Janusz

Inhomogeneous poly-scale refinement type equations and Markov operators with perturbations. (English) Zbl 1360.37143

J. Fixed Point Theory Appl. 17, No. 3, 507-520 (2015).

MSC: 37H99 37N99 39B12

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Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano; Vicini, Fabio

A parallel solver for large scale DFN flow simulations. (English) Zbl 1320.65167

SIAM J. Sci. Comput. 37, No. 3, C285-C306 (2015).

MSC: 65N30 65N15 65N50 65J15 68U20 68W10 68W40 76S05

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Tian, Jingfeng; Sun, Yufeng

New refinements of generalized Aczél inequality. (English) Zbl 1387.26047

J. Inequal. Appl. 2014, Paper No. 239, 14 p. (2014).

MSC: 26D15 26D10

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Dickopf, Thomas; Krause, Rolf

Evaluating local approximations of the \(L^2\)-orthogonal projection between non-nested finite element spaces. (English) Zbl 1324.65009

Numer. Math., Theory Methods Appl. 7, No. 3, 288-316 (2014).

MSC: 65D05 65N30 65N50 65N55

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Zhang, Huirong; Cao, Jianwen; Sun, Jiachang

Calculations and analyses of several high accuracy schemes for solving ODE eigenproblem on non-uniform grid. (Chinese. English summary) Zbl 1313.65200

J. Numer. Methods Comput. Appl. 35, No. 2, 131-152 (2014).

MSC: 65L15 65L50 34L16 65L70 65L12 65L60

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Gittelson, Claude Jeffrey

Adaptive wavelet methods for elliptic partial differential equations with random operators. (English) Zbl 1516.65129

Numer. Math. 126, No. 3, 471-513 (2014).

MSC: 65N30 65T60 65N50 47B80 60H35 65C20 65N12 65N22 65J10 65Y20 65C30 93C20 35R60

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Krnić, Mario; Pečarić, Josip

Improved Heinz inequalities via the Jensen functional. (English) Zbl 1295.47006

Cent. Eur. J. Math. 11, No. 9, 1698-1710 (2013).

Reviewer: Mohsen Kian (Bojnord)

MSC: 47A30 47A63 26A51

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OA License

Kapica, Rafał; Morawiec, Janusz

Refinement type equations: sources and results. (English) Zbl 1281.39016

Brzdȩk, Janusz (ed.) et al., Recent developments in functional equations and inequalities. Selected topics. Based on the 14th international conference on functional equations and inequalities (ICFEI) dedicated to the memory of Marek Kuczma, Bȩdlewo, Poland, September 11–17, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-18-8/pbk). Banach Center Publications 99, 87-110 (2013).

MSC: 39B12 45A05 28A80 37A30 40A05 41A15 42A38 42C40 60G50 60H25

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Kittaneh, Fuad; Krnić, Mario

Refined Heinz operator inequalities. (English) Zbl 1278.47026

Linear Multilinear Algebra 61, No. 8, 1148-1157 (2013).

Reviewer: Mohammad Sal Moslehian (Mashhad)

MSC: 47A63 26A51 47A60

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Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano

A PDE-constrained optimization formulation for discrete fracture network flows. (English) Zbl 1266.65188

SIAM J. Sci. Comput. 35, No. 2, B487-B510 (2013).

MSC: 65N30 65N15 65N50 65J15

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Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano

On simulations of discrete fracture network flows with an optimization-based extended finite element method. (English) Zbl 1266.65187

SIAM J. Sci. Comput. 35, No. 2, A908-A935 (2013).

MSC: 65N30 65N15 65N50 65J15

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Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Hirzallah, Omar

Refinements and reverses of means inequalities for Hilbert space operators. (English) Zbl 1276.47021

Banach J. Math. Anal. 7, No. 2, 15-29 (2013).

Reviewer: V. Lokesha (Bangalore)

MSC: 47A63 47A10 47B06 47B07 47B15 26D20

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Full Text: DOI Euclid

Lorenz, Dirk A.; Maass, Peter; Muoi, Pham Q.

Gradient descent for Tikhonov functionals with sparsity constraints: theory and numerical comparison of step size rules. (English) Zbl 1287.65105

ETNA, Electron. Trans. Numer. Anal. 39, 437-463 (2012).

MSC: 65N21 35J60 35R30 65J15 65J22 47J25 65N12 65N50

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Full Text: EMIS

Zhang, Haizhang; Xu, Yuesheng; Zhang, Qinghui

Refinement of operator-valued reproducing kernels. (English) Zbl 1283.68310

J. Mach. Learn. Res. 13, 91-136 (2012).

MSC: 68T05 47B32 62J02 62G08

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Giani, Stefano

Convergent adaptive finite element methods for photonic crystal applications. (English) Zbl 1256.65094

Math. Models Methods Appl. Sci. 22, No. 10, 1250028, 37 p. (2012).

Reviewer: Adrian Carabineanu (Bucureşti)

MSC: 65N12 65N25 65N30 65N50 35P15 35Q61 35R05 82D25 78A25 78M10

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Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip

Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators. (English) Zbl 1275.47038

Publ. Math. Debr. 80, No. 3-4, 465-478 (2012).

Reviewer: Jaspal Singh Aujla (Jalandhar)

MSC: 47A63 26D15 47A64

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Didenko, Victor D.

Properties of \(L_2\)-solutions of refinement equations. (English) Zbl 1262.39036

J. Oper. Theory 67, No. 2, 301-316 (2012).

MSC: 39B42 42C40 41A25 39B12 47A50

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Morawiec, Janusz; Kapica, Rafał

Refinement equations and Feller operators. (English) Zbl 1258.47050

Integral Equations Oper. Theory 70, No. 3, 323-331 (2011).

Reviewer: Hartmut Fuehr (Aachen)

MSC: 47B38 37A30 28A80 39B12 42C40

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Carstensen, Carsten; Gedicke, Joscha

An oscillation-free adaptive FEM for symmetric eigenvalue problems. (English) Zbl 1227.65106

Numer. Math. 118, No. 3, 401-427 (2011).

Reviewer: Ivan Secrieru (Chişinău)

MSC: 65N25 65N30 65N15 35P15

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O’Riordan, E.; Quinn, J.

Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems. (English) Zbl 1229.65130

BIT 51, No. 2, 317-337 (2011).

Reviewer: Srinivasan Natesan (Assam)

MSC: 65L11 65L10 65L12 65L20 65L70 34B05 34B15 34E15 65L50

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Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas

Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. (English) Zbl 1208.65160

Adv. Comput. Math. 34, No. 1, 43-66 (2011).

Reviewer: Nicolae Pop (Baia Mare)

MSC: 65N25 65N55 65F08 65F10 35P15 65N50 65T60

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Didenko, Victor; Yeo, Wee Ping

The spectral radius of matrix continuous refinement operators. (English) Zbl 1213.41012

Adv. Comput. Math. 33, No. 1, 113-127 (2010).

MSC: 41A30 47A10 42C40 47B38 41A63

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Bonito, Andrea; Nochetto, Ricardo H.

Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method. (English) Zbl 1254.65120

SIAM J. Numer. Anal. 48, No. 2, 734-771 (2010).

Reviewer: Yaşar Sözen (Istanbul)

MSC: 65N12 65N30 65N50 35J25 65N15

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Lehmann, Jens; Hitzler, Pascal

Concept learning in description logics using refinement operators. (English) Zbl 1470.68134

Mach. Learn. 78, No. 1-2, 203-250 (2010).

MSC: 68T05 68N17 68Q32 68T27 68T30

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Yang, Jianbin; Li, Song

Regularity of refinable functions with exponentially decaying masks. (English) Zbl 1197.42028

J. Math. Anal. Appl. 371, No. 2, 573-584 (2010).

Reviewer: Qiyu Sun (Orlando)

MSC: 42C40 42C15

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Lehmann, Jens

Learning OWL class expressions. (English) Zbl 1213.68011

Studies on the Semantic Web 6. Amsterdam: IOS Press; Heidelberg: Akademische Verlagsgesellschaft Aka (ISBN 978-1-60750-528-0; 978-3-89838-635-7/pbk). xiv, 265 p. (2010).

Reviewer: Jerzy W. Grzymala-Busse (Lawrence)

MSC: 68-02 68T05 68T30

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Brix, Kolja; Pinto, Martin Campos; Dahmen, Wolfgang; Massjung, Ralf

Multilevel preconditioners for the interior penalty discontinuous Galerkin method. II: Quantitative studies. (English) Zbl 1364.65072

Commun. Comput. Phys. 5, No. 2-4, 296-325 (2009).

MSC: 65F08 65F10 65N55 65N30 35J25 65F35 65N50

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Found 282 Documents (Results 1–100)

Continuous inequalities: introduction, examples and related topics. (English) Zbl 07919544

Duality-based error control for the Signorini problem. (English) Zbl 07892758

New refinements of Aczél-type inequalities and their applications. (English) Zbl 07878689

Modified-operator method for the calculation of band diagrams of crystalline materials. (English) Zbl 1533.65212

Shape optimization with virtual element method. (English) Zbl 1533.65225

Meshfree multiscale method for Richards’ equation in fractured media. (English) Zbl 07853799

New refinements of the Cauchy-Bunyakovsky inequality. (English) Zbl 1537.26014

Spectral neural operators. (English. Russian original) Zbl 1535.65302

A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1526.65052

A quadrature scheme for steady-state diffusion equations involving fractional power of regularly accretive operator. (English) Zbl 1522.65171

Adaptive quadratic finite element method for the unilateral contact problem. (English) Zbl 07708321

A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations. (English) Zbl 1521.65042

Exponential convergence of \(hp\)-time-stepping in space-time discretizations of parabolic PDEs. (English) Zbl 1516.65097

A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations. (English) Zbl 1515.65127

On \(C^m\) solutions to systems of linear inequalities. (English) Zbl 1522.46053

A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. (English) Zbl 07679127

Sparse deep neural network for nonlinear partial differential equations. (English) Zbl 1538.65592

Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers. (English) Zbl 1506.65068

Exponential convergence of hp FEM for spectral fractional diffusion in polygons. (English) Zbl 1511.65117

A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. (English) Zbl 1533.65246

On the statistical generator of solutions to the Schrödinger equation. (Russian. English summary) Zbl 1517.81050

An efficient adaptive multigrid method for the elasticity eigenvalue problem. (English) Zbl 1502.65259

A priori and a posteriori error estimates for \(hp\)-FEM for a Bingham type variational inequality of the second kind. (English) Zbl 1524.65750

Accurate high-order tensor-product generalized summation-by-parts discretizations of hyperbolic conservation laws: general curved domains and functional superconvergence. (English) Zbl 1497.65232

Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. (English) Zbl 1502.65198

Virtual element approximation of two-dimensional parabolic variational inequalities. (English) Zbl 1524.65500

A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. (English) Zbl 1490.65212

Piecewise discretization of monodromy operators of delay equations on adapted meshes. (English) Zbl 1492.65183

Adaptive BEM for elliptic PDE systems. I: Abstract framework, for weakly-singular integral equations. (English) Zbl 1490.65248

On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. (English) Zbl 1508.65163

A locally sequential refinement of the growth dynamics identification. (English) Zbl 07484733

Some estimates of virtual element methods for fourth order problems. (English) Zbl 1478.65126

Learning consistent discretizations of the total variation. (English) Zbl 1477.49047

Multi-scale non-standard fourth-order PDE in image denoising and its fixed point algorithm. (English) Zbl 1471.65126

Adaptive local minimax Galerkin methods for variational problems. (English) Zbl 1481.65225

Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids. arXiv:2109.05991

Some Steffensen-type inequalities over time scale measure spaces. (English) Zbl 1499.26074

On a refinement of Turán’s inequality. (English) Zbl 1460.26024

Difference differential operators with values at the midpoints of the sides of cells of a triangular grid. (English. Russian original) Zbl 1452.65300

Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. (English) Zbl 1451.65197

A posteriori error estimates of virtual element method for a simplified friction problem. (English) Zbl 1442.65360

Blending under deconstruction. The roles of logic, ontology, and cognition in computational concept invention. (English) Zbl 1444.68178

On the variable two-step IMEX BDF method for parabolic integro-differential equations with nonsmooth initial data arising in finance. (English) Zbl 1422.65189

Parallel meshing, discretization, and computation of flow in massive discrete fracture networks. (English) Zbl 1433.65277

Tensor FEM for spectral fractional diffusion. (English) Zbl 1429.65272

Upper bounds on the quantifier depth for graph differentiation in first-order logic. (English) Zbl 1440.68110

A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes. arXiv:1912.09744

Higher order FEM for the obstacle problem of the \(p\)-Laplacian – a variational inequality approach. (English) Zbl 1440.65176

A note on reverses of the Young type inequalities via Kantorovich constant. (English) Zbl 1413.47024

An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. (English) Zbl 1477.49044

More accurate Hilbert-type inequalities in a difference form. (English) Zbl 1401.26029

Properties and refinements of Aczél-type inequalities. (English) Zbl 1391.26061

More accurate classes of Jensen-type inequalities for convex and operator convex functions. (English) Zbl 06858110

Structural plan similarity based on refinements in the space of partial plans. (English) Zbl 1427.68285

Generalizations of Hu-type inequalities and their applications. (English) Zbl 1412.26063

On the formal characterization of the FORTE_MBC theory revision operators. (English) Zbl 1402.68166

Projection and self-adaptive projection methods for the Signorini problem with the BEM. (English) Zbl 1398.65327

Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. (English. Russian original) Zbl 1482.47049

Properties of grid boundary value problems for functions defined on grid cells and faces. (English. Russian original) Zbl 1385.65054

Supercritical-order mimetic operators on higher-dimensional staggered grids. (English) Zbl 1382.65357

Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with \(p\)-refinement. (English) Zbl 1377.35239

Consistent grid operators with the cell-nodal definition of grid functions. (English. Russian original) Zbl 1369.65156

A class of Hilbert-type inequalities obtained via the improved Young inequality. (English) Zbl 1357.26037

Projection methods based on grids for weakly singular integral equations. (English) Zbl 1357.65329

A survey on the local refinable splines. (English) Zbl 1338.65034

High order finite difference methods on non-uniform meshes for space fractional operators. (English) Zbl 1347.65130

Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations. (English) Zbl 1336.65184

New refinements of generalized Aczél’s inequality and their applications. (English) Zbl 1334.26063

Note on Aczél-type inequality and Bellman-type inequality. (English) Zbl 1329.26045

Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems. (English) Zbl 1443.65308

Refinement-based disintegration: an approach to re-representation in relational learning. (English) Zbl 1373.68330

High order finite difference discretization for composite grid hierarchy and its applications. (English) Zbl 1388.65132

Consistent grid analogs of invariant differential and boundary operators on an irregular triangular grid in the case of a grid nodal approximation. (English. Russian original) Zbl 1327.65203

Inhomogeneous poly-scale refinement type equations and Markov operators with perturbations. (English) Zbl 1360.37143