Found 321 Documents (Results 1–100)
Wave packet transform and wavelet convolution product involving the index Whittaker transform. (English) Zbl 1543.42047
Reviewer: Anouar Ben Mabrouk (Monastir)
A generalization of the Wiener-Hopf method for an equation in two variables with three unknown functions. (English) Zbl 07831791
Reviewer: Mohammed El Aïdi (Bogotá)
Singular value decomposition of dual matrices and its application to traveling wave identification in the brain. (English) Zbl 1533.15007
Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation. (English) Zbl 1532.35416
Digital operators and discrete equations as computational tools. (English) Zbl 07925369
Pinto, Carla M. A. (ed.) et al., Computational and mathematical models in biology. Cham: Springer. Nonlinear Syst. Complex. 38, 35-57 (2023).
Reconstruction of extended regions in EIT with a generalized Robin transmission condition. (English) Zbl 07918268
Reconstruction of an interface between the fluid and piezoelectric solid by acoustic measurements. (English) Zbl 1528.65098
Closed form expressions for the Green’s function of a quantum graph – a scattering approach. (English) Zbl 1534.81059
On some elliptic boundary value problems in conic domains. (English. Russian original) Zbl 1525.35271
Comput. Math. Math. Phys. 63, No. 8, 1437-1443 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 8, 1309-1315 (2023).
On a discrete boundary value problem in a quarter-plane. (Russian. English summary) Zbl 1538.35479
On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant. (English) Zbl 1518.35713
A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices. (English) Zbl 1521.74335
Regularization of the factorization method with applications to inverse scattering. (English) Zbl 1518.35249
Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 43-61 (2023).
A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions. (English) Zbl 07640549
Stabilized finite element formulation and high-performance solver for slightly compressible Navier-Stokes equations. (English) Zbl 1507.76127
Zeidan, Dia (ed.) et al., Advances in fluid mechanics. Modelling and simulations. Singapore: Springer. Forum Interdiscip. Math., 209-232 (2022).
The factorization method and Capon’s method for random source identification in experimental aeroacoustics. (English) Zbl 1498.35616
Wave diffraction from the truncated hollow wedge: analytical regularization and Wiener-Hopf analysis. (English) Zbl 1498.78020
A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation. (English) Zbl 1510.35366
A numerical study of single source localization algorithms for phaseless inverse scattering problems. (English) Zbl 1490.35538
Reviewer: Andreas Kleefeld (Jülich)
Multiscale factorization of the wave equation with application to compressed sensing photoacoustic tomography. (English) Zbl 1476.45014
On limit behavior of a solution to boundary value problem in a plane sector. (English) Zbl 1476.35351
High-performance implementation of discontinuous Galerkin methods with application in fluid flow. (English) Zbl 1478.76053
Kronbichler, Martin (ed.) et al., Efficient high-order discretizations for computational fluid dynamics. Selected papers based on the presentations at the summer school, Udine, Italy, July 16–20, 2018. Cham: Springer. CISM Courses Lect. 602, 57-115 (2021).
Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background. (English) Zbl 1471.76063
IMA J. Appl. Math. 86, No. 2, 320-348 (2021); corrigendum ibid. 87, No. 1, 129-130 (2022).
Sparse approximate multifrontal factorization with butterfly compression for high-frequency wave equations. (English) Zbl 1512.65075
Efficient matrix assembly in isogeometric analysis with hierarchical B-splines. (English) Zbl 1458.65153
Reviewer: Chandrasekhar Salimath (Bengaluru)
An extended direct factorization method for inverse scattering with limited aperture data. (English) Zbl 1479.65021
Reviewer: Michael Jung (Dresden)
High-frequency lengthwise diffraction by the curve separating soft and hard part of the surface. (English) Zbl 1524.78028
Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds. (English) Zbl 1442.81054
On block triangular preconditioned iteration methods for solving the Helmholtz equation. (English) Zbl 1433.65052
An adaptive quadrature-based factorization method for inverse acoustic scattering problems. (English) Zbl 1477.65180
The factorization method for a mixed scattering problem from a bounded obstacle and an open arc. (English) Zbl 1449.78013
The factorization method for partially penetrable obstacle in elastic scattering. (English) Zbl 1433.35390
On nonlinear damped wave equations for positive operators. I: Discrete spectrum. (English) Zbl 1463.35353
Reviewer: Marie Kopáčková (Praha)
Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces. (English) Zbl 1436.35269
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization. (English) Zbl 1425.74242
Locating a complex inhomogeneous medium with an approximate factorization method. (English) Zbl 1461.35242
Digital approximations for pseudo-differential equations and error estimates. (English) Zbl 07062862
Nikolov, Geno (ed.) et al., Numerical methods and applications. 9th international conference, NMA 2018, Borovets, Bulgaria, August 20–24, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11189, 483-490 (2019).
MSC:
65-XX
On some distributions associated to boundary value problems. (English) Zbl 1436.35338
Reviewer: Bojan Prangoski (Skopje)
On the factorization method for a far field inverse scattering problem in the time domain. (English) Zbl 1416.35097
A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods. (English) Zbl 1417.65216
Reviewer: Marius Ghergu (Dublin)
On the Cauchy problem for matrix factorizations of the Helmholtz equation in an unbounded domain in \(\mathbb{R}^2\). (Russian. English summary) Zbl 1428.35110
MSC:
35J05
The factorization method for the inverse obstacle scattering problem with oblique derivative boundary condition. (English) Zbl 1408.35222
Two direct factorization methods for inverse scattering problems. (English) Zbl 1437.35705
Reviewer: Andreas Kleefeld (Jülich)
Real-time imaging of interfacial damage in heterogeneous composites. (English) Zbl 1400.35235
Reviewer: Alain Brillard (Riedisheim)
Nonlinear Schrödinger equations with exceptional potentials. (English) Zbl 1427.35257
Reviewer: Marin I. Marin (Braşov)
Discrete pseudo-differential operators and boundary value problems in a half-space and a cone. (English) Zbl 1453.35203
A new computational approach for solving nonlinear local fractional PDEs. (English) Zbl 1490.35530
MSC:
35R11
On some equations on non-smooth manifolds: canonical domains and model operators. (English) Zbl 1420.58009
Kalmenov, Tynysbek Sh. (ed.) et al., Functional analysis in interdisciplinary applications, Astana, Kazakhstan, October 2–5, 2017. Cham: Springer. Springer Proc. Math. Stat. 216, 363-375 (2017).
Reviewer: Leszek Skrzypczak (Poznań)
Sampling methods for reconstructing the geometry of a local perturbation in unknown periodic layers. (English) Zbl 1398.35225
Elliptic equations, manifolds with non-smooth boundaries, and boundary value problems. (English) Zbl 1387.35650
Dang, Pei (ed.) et al., New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-48810-3/pbk; 978-3-319-48812-7/ebook). Trends in Mathematics. Research Perspectives, 337-344 (2017).
Low-rank correction methods for algebraic domain decomposition preconditioners. (English) Zbl 1371.65029
An approximate factorization method for inverse medium scattering with unknown buried objects. (English) Zbl 1372.35370
Pseudodifferential equations on manifolds with complicated boundary singularities. (Russian, English) Zbl 1413.35459
Sib. Zh. Chist. Prikl. Mat. 16, No. 3, 3-14 (2016); translation in J. Math. Sci., New York 230, No. 1, 175-183 (2018).
Potentials for elliptic boundary value problems in cones. (Russian. English summary) Zbl 1370.35283
MSC:
35S15
Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation. (English) Zbl 1352.76058
Difference factorizations and monotonicity in inverse medium scattering for contrasts with fixed sign on the boundary. (English) Zbl 1355.78026
Babich’s expansion and high-order Eulerian asymptotics for point-source Helmholtz equations. (English) Zbl 1398.65320
The factorization method for a partially coated cavity in inverse scattering. (English) Zbl 1386.35482
Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves. (English) Zbl 1332.74033
Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers. (English) Zbl 1333.65124
Near-field imaging of obstacles with the factorization method: fluid-solid interaction. (English) Zbl 1332.35402
Existence of \(\mathcal{H}\)-matrix approximants to the inverses of BEM matrices: the simple-layer operator. (English) Zbl 1327.65253
Recent progress on the factorization method for inverse acoustic scattering problems. (Chinese. English summary) Zbl 1488.74091
Explicit wave solutions and qualitative analysis of the \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity. (English) Zbl 1342.35349
New constructions in the theory of elliptic boundary value problems. (English) Zbl 1338.35521
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 629-641 (2015).
Reviewer: Marius Ghergu (Dublin)
MSC:
35S05
Convergence of the difference method of solving the two-dimensional wave equation with heredity. (Russian. English summary) Zbl 1333.65102
TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall. (English) Zbl 1321.78013
Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions. (English) Zbl 1319.65106
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Diffraction of waves on square lattice by semi-infinite crack. (English) Zbl 1322.78010
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Indicator functions for shape reconstruction related to the linear sampling method. (English) Zbl 1432.94011
Numerics of linear systems of equations. An introduction to modern methods. With MATLAB-implementations by C. Vömel. 5th revised ed. (Numerik linearer Gleichungssysteme. Eine Einführung in moderne Verfahren. Mit MATLAB-Implementierungen von C. Vömel.) (German) Zbl 1310.65001
Heidelberg: Springer Spektrum (ISBN 978-3-658-07199-8/pbk; 978-3-658-07200-1/ebook). xii, 276 p. (2015).
Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems. (English) Zbl 1352.74101
Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary. (English) Zbl 1327.35074
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