Found 4,817 Documents (Results 1–100)
Lectures on functional analysis and applications (to appear). 2nd edition. (English) Zbl 07029832
Hackensack, NJ: World Scientific (ISBN 978-981-3203-17-4/hbk; 978-981-3203-18-1/pbk). 800 p. (2025).
Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes. (English) Zbl 07925735
Well-conditioned Galerkin spectral method for two-sided fractional diffusion equation with drift and fractional Laplacian. (English) Zbl 07924840
Spectral discretization of the time-dependent vorticity-velocity-pressure formulation of the Stokes problem. (English) Zbl 07924803
MSC:
65N38
An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation. (English) Zbl 07923996
Spectral-Galerkin approximation based on reduced order scheme for fourth order equation and its eigenvalue problem with simply supported plate boundary conditions. (English) Zbl 07922829
Efficient entropy-stable discontinuous spectral-element methods using tensor-product summation-by-parts operators on triangles and tetrahedra. (English) Zbl 07922798
A performance study of horizontally explicit vertically implicit (HEVI) time-integrators for non-hydrostatic atmospheric models. (English) Zbl 07922772
Analysis of weak Galerkin mixed finite element method based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. (English) Zbl 07915986
MSC:
65M70
An efficient and accurate penalty-projection eddy viscosity algorithm for stochastic magnetohydrodynamic flow problems. (English) Zbl 07915951
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. (English) Zbl 07915944
Adaptive finite element methods. (English) Zbl 07906742
Spectral solutions of specific singular differential equations using a unified spectral Galerkin-collocation algorithm. (English) Zbl 07906466
Entropy-conservative discontinuous Galerkin methods for the shallow water equations with uncertainty. (English) Zbl 07902381
Monolithic convex limiting for Legendre-Gauss-Lobatto discontinuous Galerkin spectral-element methods. (English) Zbl 07902377
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems. (English) Zbl 07901895
Error analysis for a spectral element method for solving two-parameter singularly perturbed diffusion equation. (English) Zbl 07900484
Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation. (English) Zbl 07899572
Piecewise Jacobi-Gauss spectral collocation simulations for a multi-particle model involving processing delay. (English) Zbl 07899228
Plasma-simulation physics informed neural networks (PS-PINNs) for global discharge models. (English) Zbl 1542.65129
An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1542.65193
A generalized Gegenbauer wavelet collocation method for solving \(p\)-type fractional neutral delay differential and delay partial differential equations. (English) Zbl 07886702
High order predictor-corrector cubic B-Spline collocation method for modeling solitary waves. (English) Zbl 07885937
Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem. (English) Zbl 07885857
Efficient tensor-product spectral-element operators with the summation-by-parts property on curved triangles and tetrahedra. (English) Zbl 07883833
On strong convergence of a fully discrete scheme for solving stochastic strongly damped wave equations. (English) Zbl 07882741
Discrete null field equation methods for solving Laplace’s equation: boundary layer computations. (English) Zbl 07882739
A space-time Galerkin Müntz spectral method for the time fractional Fokker-Planck equation. (English) Zbl 07880533
The posteriori analysis of the spectral element discretization of the wave equation. (English) Zbl 07880480
Double fast algorithm for solving time-space fractional diffusion problems with spectral fractional Laplacian. (English) Zbl 07879826
Neko: a modern, portable, and scalable framework for high-fidelity computational fluid dynamics. (English) Zbl 07875888
MSC:
76-XX
Joint-mode diffusion analysis of spectral/hp continuous Galerkin methods: towards superior dissipation estimates for implicit LES. (English) Zbl 07867419
Nonconforming spectral element approximation for parabolic PDE with corner singularity. (English) Zbl 07863382
Energy stable and structure-preserving schemes for the stochastic Galerkin shallow water equations. (English) Zbl 07861969
Pseudo-spectral differentiation on a triangle and its application to a triangular mesh for a planar domain with irregular contour. (English) Zbl 07861709
A conservative discontinuous-Galerkin-in-time (DGiT) multirate time integration framework for interface-coupled problems with applications to solid-solid interaction and air-sea models. (English) Zbl 1539.74427
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique. (English) Zbl 07859304
A numerical comparison of Galerkin and collocation isogeometric approximations of acoustic wave problems. (English) Zbl 1542.65120
A novel mixed spectral method and error estimates for Maxwell transmission eigenvalue problems. (English) Zbl 1541.65169
Arbitrary high-order fully-decoupled numerical schemes for phase-field models of two-phase incompressible flows. (English) Zbl 07846935
High-order decoupled and bound preserving local discontinuous Galerkin methods for a class of chemotaxis models. (English) Zbl 07846925
High order IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings. (English) Zbl 07846922
On the monotonicity of \(Q^2\) spectral element method for Laplacian on quasi-uniform rectangular meshes. (English) Zbl 1536.65139
Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral. (English) Zbl 1536.65170
Joint-mode diffusion analysis of discontinuous Galerkin methods: towards superior dissipation estimates for nonlinear problems and implicit LES. (English) Zbl 07842888
A new stabilized time-spectral finite element solver for fast simulation of blood flow. (English) Zbl 1539.76107
A physics-informed GAN framework based on model-free data-driven computational mechanics. (English) Zbl 1539.74540
Solving the complete pseudo-impulsive radiation and diffraction problem using a spectral element method. (English) Zbl 1539.76144
Dispersion and thermo-acoustoelastic effects of guided waves in the laminated cylindrical shells with SMA-reinforced core and nanocomposite surfaces. (English) Zbl 07836454
Generalized domination of ergodic elements in ordered Banach algebras. (English) Zbl 07834591
Reviewer: Mart Abel (Tartu)
A multigrid coupling approach of the extended isogeometric-meshfree method and peridynamics for brittle fracture. (English) Zbl 1535.74662
Highly accurate calculation of higher energy eigenvalues for the radial Schrödinger eigenproblems. (English) Zbl 1540.65253
Quadrature-free forms of discontinuous Galerkin methods in solving compressible flows on triangular and tetrahedral grids. (English) Zbl 1540.76095
Effect of stratification on the propagation of a cylindrical gravity current. (English) Zbl 07832938
Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions. (English) Zbl 07829913
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems. (English) Zbl 1536.65122
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
Turbulent wake characteristics for a circular cylinder in proximity to a moving wall. (English) Zbl 07828222
SOD2D: a GPU-enabled spectral finite elements method for compressible scale-resolving simulations. (English) Zbl 07826286
Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique. (English) Zbl 07824617
A low-rank solver for parameter estimation and uncertainty quantification in time-dependent systems of partial differential equations. (English) Zbl 1535.65167
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation. (English) Zbl 1535.65216
A modified kernel-based collocation method for interface boundary value problems. (English) Zbl 1536.74305
Flexural wave propagation characteristics of metabeam with simultaneous acoustic black hole and local resonator. (English) Zbl 1535.74406
Vortex dynamics and boundary layer transition in flow around a rectangular cylinder with different aspect ratios at medium Reynolds number. (English) Zbl 1541.76034
Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model. (English) Zbl 1534.65247
An oscillation-free spectral volume method for hyperbolic conservation laws. (English) Zbl 1535.65161
Reviewer: Abdallah Bradji (Annaba)
Efficient fully discrete spectral-Galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential. (English) Zbl 1533.65190
Supergranule aggregation: a Prandtl number-independent feature of constant heat flux-driven convection flows. (English) Zbl 1539.76075
A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics. (English) Zbl 07808005
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 1533.65191
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Reduced-order finite element approximation based on POD for the parabolic optimal control problem. (English) Zbl 1534.65188
Unconditional error analysis of VEMs for a generalized nonlinear Schrödinger equation. (English) Zbl 07806682
Conservative conforming and nonconforming vems for fourth order nonlinear Schrödinger equations with trapped term. (English) Zbl 07806681
Semi-implicit spectral deferred correction methods based on second-order time integration schemes for nonlinear PDEs. (English) Zbl 07803024
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy. (English) Zbl 1533.65045
Reviewer: Steven B. Damelin (Ann Arbor)
Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction. (English) Zbl 07797652
A novel and fully automated coordinate system transformation scheme for near optimal surrogate construction. (English) Zbl 1539.65134
An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities. (English) Zbl 1531.65226
A novel boundary integral formulation for the biharmonic wave scattering problem. (English) Zbl 1534.65260
Reviewer: Olaf Hansen (San Marcos)
Error estimates of hp spectral element methods in nonlinear optimal control problem. (English) Zbl 1530.49006
An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems. (English) Zbl 1542.65037
Reviewer: Georg Hebermehl (Berlin)
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