Found 461 Documents (Results 1–100)
Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems. (English) Zbl 07900326
An adaptive orthogonal basis method for computing multiple solutions of differential equations with polynomial nonlinearities. (English) Zbl 07878710
Error estimates for finite element discretizations of the instationary Navier-Stokes equations. (English) Zbl 1541.35353
The inverse problem of dipolar source identification from incomplete boundary measurements. (English) Zbl 1539.35293
Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters. (English) Zbl 1541.65118
Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms. (English) Zbl 1536.65085
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
MSC:
65M06
65N35
65N06
65N30
65D32
65H10
65T50
65F50
65M12
35R09
45K05
41A50
35K55
35A01
35A02
35Q60
A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints. (English) Zbl 1536.65119
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Optimal recovery of a family of operators from inaccurate measurements on a compact set. (English. Russian original) Zbl 1535.41026
Sib. Math. J. 65, No. 2, 495-504 (2024); translation from Vladikavkaz. Mat. Zh. 25, No. 2, 124-135 (2023).
On the optimal recovery of one family of operators on a class of functions from approximate information about its spectrum. (English. Russian original) Zbl 1539.42008
Sib. Math. J. 65, No. 2, 245-256 (2024); translation from Sib. Mat. Zh. 65, No. 2, 235-248 (2024).
Reviewer: Francisco Pérez Acosta (La Laguna)
Pólya-Szegö type inequality and imbedding theorems for weighted Sobolev spaces. (English) Zbl 07822755
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold. (English) Zbl 07817021
Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion. (English) Zbl 1533.35297
\(L^2(I;H^1(\Omega)^d)\) and \(L^2(I;L^2(\Omega)^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. (English) Zbl 1537.65134
Reviewer: Temur A. Jangveladze (Tbilisi)
Mathematical modelling of a slow flameless combustion of a two-dimensional paper. (English) Zbl 1532.35447
A best possible maximum principle and an overdetermined problem for a generalized Monge-Ampère equation. (English) Zbl 1531.35189
Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. (English) Zbl 1531.65197
An efficient numerical scheme for solving a general class of fractional differential equations via fractional-order hybrid Jacobi functions. (English) Zbl 1532.65115
A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation. (English) Zbl 1527.65088
Reviewer: Abdallah Bradji (Annaba)
MSC:
65M32
65M30
65M06
65T60
65K10
65J20
65F22
65M12
65M15
60G22
35A15
41A50
35A01
35A02
35R30
26A33
35R11
35R60
Shifted second-kind Chebyshev spectral collocation-based technique for time-fractional KdV-Burgers’ equation. (English) Zbl 1538.65411
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem. (English) Zbl 1538.65410
Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs. (English) Zbl 07763088
An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry. (English) Zbl 1537.74296
Optimal recovery of a family of operators from inaccurate measurements on a compact. (Russian. English summary) Zbl 07743976
Vladikavkaz. Mat. Zh. 25, No. 2, 124-135 (2023); translation in Sib. Math. J. 65, No. 2, 495-504 (2024).
Legendre-tau Chebyshev collocation spectral element method for Maxwell’s equations with material interfaces of two dimensional transverse magnetic mode. (English) Zbl 1538.78017
A new method of solving the best approximate solution for a nonlinear fractional equation. (English) Zbl 1538.65310
Spectral treatment for the fractional-order wave equation using shifted Chebyshev orthogonal polynomials. (English) Zbl 1538.65413
Efficient implementation of the exact artificial boundary condition for the exterior problem of the Stokes system in three dimensions. (English) Zbl 1531.65269
Sharp uncertainty principle inequality for solenoidal fields. (English. French summary) Zbl 1511.26020
Reviewer: Michael Perelmuter (Kyïv)
Spaces of Besov-Sobolev type and a problem on nonlinear approximation. (English) Zbl 1517.46024
Reviewer: Hans Triebel (Jena)
Weak \(N\)-best POAFD for solving parabolic equations in reproducing kernel Hilbert space. (English) Zbl 07906575
Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method. (English) Zbl 1535.65225
A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models. (English) Zbl 1527.65135
A sharpened form of Adams-type inequalities on higher-order Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb{R}^n)\): a simple approach. (English) Zbl 1522.46026
Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs. (English) Zbl 1524.65898
Evaluating the MHD non-Newtonian fluid motion past a stretching sheet under the influence of non-uniform thickness with Dufour and Soret effects implementing Chebyshev spectral method. (English) Zbl 1513.65483
Comparing the best-reply strategy and mean-field games: the stationary case. (English) Zbl 1504.35562
Reviewer: Alain Brillard (Riedisheim)
Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398
Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal \(hp\) approximation estimates in \(\boldsymbol{H}(\operatorname{div})\). (English) Zbl 1517.65108
Optimality of constants in power-weighted Birman-Hardy-Rellich-type inequalities with logarithmic refinements. (English. French summary) Zbl 1485.26024
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. (English) Zbl 07506442
Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives. (English) Zbl 1486.26030
Reviewer: Sanja Varošanec (Zagreb)
Solvability of a critical semilinear problem with the spectral Neumann fractional Laplacian. (English. Russian original) Zbl 1480.35398
St. Petersbg. Math. J. 33, No. 1, 141-153 (2022); translation from Algebra Anal. 33, No. 1, 194-212 (2021).
Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries. (English) Zbl 1524.65934
A modified Chebyshev \(\vartheta \)-weighted Crank-Nicolson method for analyzing fractional sub-diffusion equations. (English) Zbl 1534.65130
On a weighted trace embedding and applications to critical boundary problems. (English) Zbl 1523.35016
Fast algorithm for the three-dimensional Poisson equation in infinite domains. (English) Zbl 1511.65133
Existence of traveling wave solutions for the diffusion Poisson coupled model: a computer-assisted proof. (English) Zbl 1506.35219
The paradox of heat conduction, influence of variable viscosity, and thermal conductivity on magnetized dissipative Casson fluid with stratification models. (English) Zbl 1487.80004
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113
Convergence estimates of finite elements for a class of quasilinear elliptic problems. (English) Zbl 1524.65850
Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. (English) Zbl 1487.46034
Numerical solution of the nonlinear conformable space-time fractional partial differential equations. (English) Zbl 1528.65054
Minimal residual space-time discretizations of parabolic equations: asymmetric spatial operators. (English) Zbl 1489.65147
Reviewer: J. Manimaran (Thiruvananthapuram)
Error constants for the semi-discrete Galerkin approximation of the linear heat equation. (English) Zbl 1490.65205
A note on the Rellich inequality on half-space. (English) Zbl 1488.26060
Reviewer: Michael Perelmuter (Kyïv)
Time-variant system approximation via later-time samples. (English) Zbl 1487.65130
Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 1-9 (2021).
The Chebyshev collocation method for a class of time fractional convection-diffusion equation with variable coefficients. (English) Zbl 1496.65185
Numerical analysis of a self-similar turbulent flow in Bose-Einstein condensates. (English) Zbl 1476.35208
Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method. (English) Zbl 1486.65197
Hybrid fully spectral linearized scheme for time-fractional evolutionary equations. (English) Zbl 1486.65196
A numerical method based on the Chebyshev cardinal functions for variable-order fractional version of the fourth-order 2D Kuramoto-Sivashinsky equation. (English) Zbl 1486.65198
Method of orthogonal polynomials for an approximate solution of singular integro-differential equations as applied to two-dimensional diffraction problems. (English. Russian original) Zbl 1491.45016
Differ. Equ. 57, No. 6, 814-823 (2021); translation from Differ. Uravn. 57, No. 6, 830-839 (2021).
Amplitude-based generalized plane waves: new quasi-Trefftz functions for scalar equations in two dimensions. (English) Zbl 1467.65110
Reviewer: Bülent Karasözen (Ankara)
The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities. (English) Zbl 1465.35015
Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimensions. (English) Zbl 1467.35015
A simpler expression for Costin-Maz’ya’s constant in the Hardy-Leray inequality with weight. (English) Zbl 1462.35015
Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 1524.65896
Sharp Rellich-Leray inequality with any radial power weight for solenoidal fields. (English) Zbl 1462.35014
Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation. (English) Zbl 1477.65091
Reviewer: Francisco Pérez Acosta (La Laguna)
Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. (English) Zbl 1461.65242
Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. (English) Zbl 1475.65081
Reviewer: Michael Plum (Karlsruhe)
Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields. (English) Zbl 1472.35014
Reviewer: José Francisco De Oliveira (Teresina)
A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations. (English) Zbl 1456.65130
Sharp Hardy-Leray inequality for curl-free fields with a remainder term. (English) Zbl 1452.26016
Reviewer: Michael Perelmuter (Kyïv)
The effect of a discontinuous weight for a critical Sobolev problem. (English) Zbl 1499.35059
MSC:
35B33
The low rank approximations and Ritz values in LSQR for linear discrete ill-posed problem. (English) Zbl 07371359
The impact of Chebyshev collocation method on solutions of fractional advection-diffusion equation. (English) Zbl 1472.65101
Evolutionary systems representations based on later time samples and applications to PDEs. (English) Zbl 1462.35463
Existence of best proximity pairs and a generalization of Carathéodory theorem. (English) Zbl 07336616
A characterization of differentiability for the best trace Sobolev constant function. (English) Zbl 1455.46031
Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents. (English) Zbl 1456.35047
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