Found 687 Documents (Results 1–100)
From Lévy walks to fractional material derivative: pointwise representation and a numerical scheme. (English) Zbl 07912597
Tchakaloff-like compression of QMC volume and surface integration on the union of balls. (English) Zbl 07908398
The geometrical and physical interpretation of fractional order derivatives for a general class of functions. (English) Zbl 07871981
A comparison of the method of brackets with the method of negative dimension. (English) Zbl 07871507
Lattice Boltzmann model for incompressible flows through porous media with time-fractional effects. (English) Zbl 07861474
Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures. (English) Zbl 07858186
Analysis of a new NFV scheme preserving DMP for two-dimensional sub-diffusion equation on distorted meshes. (English) Zbl 07846582
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
A family of fractal Fourier restriction estimates with implications on the Kakeya problem. (English) Zbl 1540.42023
Reviewer: Hussain Al-Qassem (Doha)
Fourier decay of fractal measures on surfaces of co-dimension two in \(\mathbb{R}^5\). (English) Zbl 1534.42019
On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations. (English) Zbl 1534.65163
Removable singularities for solutions of the fractional heat equation in time varying domains. (English) Zbl 1533.35359
A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems. (English) Zbl 1532.65064
A monotone numerical flux for quasilinear convection diffusion equation. (English) Zbl 1525.65084
Reviewer: Abdallah Bradji (Annaba)
Strengthened inequalities for the mean width and the \(\ell\)-norm of origin symmetric convex bodies. arXiv:2410.11460
Preprint, arXiv:2410.11460 [math.MG] (2024).
Extended Divergence-Measure Fields, the Gauss-Green Formula, and Cauchy Fluxes. arXiv:2410.09214
Preprint, arXiv:2410.09214 [math.AP] (2024).
A generalized Legendre duality relation and Gaussian saturation. arXiv:2409.13611
Preprint, arXiv:2409.13611 [math.FA] (2024).
Pathway to Fractional Integrals, Fractional Differential Equations and the Role of H-function. arXiv:2405.11050
Preprint, arXiv:2405.11050 [cond-mat.stat-mech] (2024).
The measures with \(L^2\)-bounded Riesz transform and the Painlevé problem. arXiv:2402.08615
Preprint, arXiv:2402.08615 [math.CA] (2024).
Relaxation process in an immiscible three-phase flow model. (English) Zbl 1534.65156
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 191-200 (2023).
Reviewer: Abdallah Bradji (Annaba)
Dimension-free estimates on distances between subsets of volume \(\varepsilon\) inside a unit-volume body. (English) Zbl 1541.52013
Reviewer: Fraser Daly (Edinburgh)
A finite volume scheme for fractional conservation laws driven by Lévy noise. (English) Zbl 1535.65150
Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 601-609 (2023).
Reviewer: Abdallah Bradji (Annaba)
An \(L^\infty (H^1)\)-error estimate for gradient schemes applied to time fractional diffusion equations. (English) Zbl 1529.65027
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 177-185 (2023).
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\). (English) Zbl 1532.33005
Knots and their related \(q\)-series. (English) Zbl 1532.57004
Reviewer: Haimiao Chen (Beijing)
Sobolev inequalities in manifolds with nonnegative curvature. (English) Zbl 1527.53030
Reviewer: Florin Catrina (New York)
Path integral quantization of generalized Stueckelberg electrodynamics: a Faddeev-Jackiw approach. (English) Zbl 1531.81132
Double calculus. (English) Zbl 1541.26014
A Coq formalization of Lebesgue induction principle and Tonelli’s theorem. (English) Zbl 1529.68315
Chechik, Marsha (ed.) et al., Formal methods. 25th international symposium, FM 2023, Lübeck, Germany, March 6–10, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14000, 39-55 (2023).
Necessary condition for the \(L^2\) boundedness of the Riesz transform on Heisenberg groups. (English) Zbl 1520.42006
Improved weighted restriction estimates in \(\mathbb{R}^3\). (English) Zbl 1523.42012
Reviewer: Lotfi Kamoun (Monastir)
Numerical approach of a coupled pressure-saturation model describing oil-water flow in porous media. (English) Zbl 1524.65843
The Gauss-Green theorem for bounded vector fields with divergence measure on sets of finite perimeter. (English) Zbl 1525.26008
Reviewer: Ivan Podvigin (Novosibirsk)
\(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type. (English) Zbl 1515.42018
Reviewer: Felipe Ponce-Vanegas (Bilbao)
Lattice points close to the Heisenberg spheres. (English) Zbl 1517.11127
Reviewer: Steven T. Dougherty (Scranton)
Hepp’s bound for Feynman graphs and matroids. (English) Zbl 1520.81076
Reviewer: Michael Borinsky (Zürich)
Rectifiability and tangents in a rough Riemannian setting. arXiv:2311.00589
Preprint, arXiv:2311.00589 [math.AP] (2023).
Parametric Fourier and Mellin transforms of power-constructible functions. arXiv:2308.15958
Preprint, arXiv:2308.15958 [math.CA] (2023).
On restricted Falconer distance sets. arXiv:2305.18053
Preprint, arXiv:2305.18053 [math.CA] (2023).
Mellin transforms of power-constructible functions. arXiv:2304.04538
Preprint, arXiv:2304.04538 [math.AG] (2023).
The q-fractional Euler top system with one control on a fractional Leibniz algebroid. arXiv:2303.15835
Preprint, arXiv:2303.15835 [math.DS] (2023).
Four types of variant Euler harmonic sums. arXiv:2301.06317
Preprint, arXiv:2301.06317 [math.NT] (2023).
Analytical expressions for the exact curved surface area of a hemiellipsoid via Mellin-Barnes type contour integration. (English) Zbl 1538.33021
Causal functional calculus. (English) Zbl 1541.26032
The geometry of one-dimensional and spatial Hardy type inequalities. (English. Russian original) Zbl 1531.26011
Russ. Math. 66, No. 11, 46-78 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 11, 52-88 (2022).
\(L^p\) estimates for bilinear generalized Radon transforms in the plane. (English) Zbl 1520.44002
Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 179-198 (2022).
Implicit finite-difference scheme for a Duffing oscillator with a derivative of variable fractional order of the Riemann-Liouville type. (Russian. English summary) Zbl 1538.65210
Mathematical modeling of the dynamics of vector-borne diseases transmitted by mosquitoes: taking into account aquatic stages and gonotrophic cycle. (English) Zbl 1515.92069
Asymptotics of the \(s\)-fractional Gaussian perimeter as \(s\rightarrow 0^+\). (English) Zbl 1503.28004
Solving generalized fractional problem on a funnel-shaped domain depicting viscoelastic fluid in porous medium. (English) Zbl 1497.76006
An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1513.65329
A conservative upwind approximation on block-centered difference for chemical oil recovery displacement problem. (English) Zbl 1513.65368
A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian. (English) Zbl 1503.65206
Reviewer: Abdallah Bradji (Annaba)
Cones, rectifiability, and singular integral operators. (English) Zbl 1502.42009
Reviewer: Sibei Yang (Lanzhou)
A class of unconditioned stable 4-point WSGD schemes and fast iteration methods for space fractional diffusion equations. (English) Zbl 07549606
Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances. (English) Zbl 1505.53058
Refinements of Opial type inequalities in two variables. (English) Zbl 1503.26042
Reviewer: James Adedayo Oguntuase (Abeokuta)
Removable singularities for Lipschitz caloric functions in time varying domains. (English) Zbl 1485.42030
A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes. (English) Zbl 1524.65453
Real-analytic non-integrable functions on the plane with equal iterated integrals. (English) Zbl 1490.26033
Reviewer: Pisheng Ding (Normal)
Blaschke-Santaló inequality for many functions and geodesic barycenters of measures. (English) Zbl 1482.52004
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Gradient of the single layer potential and quantitative rectifiability for general Radon measures. (English) Zbl 1480.42037
An adaptive binary-tree element subdivision method for evaluation of volume integrals with continuous or discontinuous kernels. (English) Zbl 1521.74306
A Mattila-Sjölin theorem for simplices in low dimensions. arXiv:2208.07198
Preprint, arXiv:2208.07198 [math.CA] (2022).
Quantitative bounds for product of simplices in subsets of the unit cube. arXiv:2206.10004
Preprint, arXiv:2206.10004 [math.CO] (2022).
Analytic capacity and dimension of sets with plenty of big projections. arXiv:2204.05804
Preprint, arXiv:2204.05804 [math.CA] (2022).
Analysis and efficient implementation of alternating direction implicit finite volume method for Riesz space-fractional diffusion equations in two space dimensions. (English) Zbl 1534.65205
Successive integration of certain mathematical functions using hypergeometric approach. (English) Zbl 1538.33004
On the extension of Hermite-Hadamard type inequalities for co-ordinated convex mappings. (English) Zbl 1496.26037
A new formulation of finite difference and finite volume methods for solving a space fractional convection-diffusion model with fewer error estimates. (English) Zbl 1494.65075
On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals. (English) Zbl 1494.26024
A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system. (English) Zbl 1494.65060
An efficient numerical approach for solving two-point fractional order nonlinear boundary value problems with Robin boundary conditions. (English) Zbl 1494.65058
Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals. (English) Zbl 1493.26062
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