scientific article
From MaRDI portal
Publication:3999652
zbMath0717.76004MaRDI QIDQ3999652
Thomas A. Zang, M. Yousuff Hussaini, Alfio M. Quarteroni, Claudio Canuto
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Spectral methods applied to problems in fluid mechanics (76M22) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items
A robust pseudospectral method for numerical solution of nonlinear optimal control problems, A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations, Multidomain solution of advection problems by Chebyshev spectral collocation, SAV Galerkin-Legendre spectral method for the nonlinear Schrödinger-possion equations, On a hybrid spectral exponential Chebyshev method for time-fractional coupled Burgers equations on a semi-infinite domain, On temporal stability analysis for hydromagnetic flow in a channel filled with a saturated porous medium, Convergence of the Kleiser Schumann method for the Navier-Stokes equations, Spectral viscosity for convection dominated flow, A DQ based approach to simulate the vibrations of buckled beams, Spectral Tau approximation of the two-dimensional Stokes problem, On the stability of collocation methods for the two-dimensional Burgers equation: The Fourier case, Spatial stability of incompressible attachment-line flow, Direct numerical simulation of thermal conductivity of nanofluids: the effect of temperature two-way coupling and coagulation of particles, Global mode analysis of axisymmetric bluff-body wakes: Stabilization by base bleed, Operational matrix of fractional integration based on the shifted second kind Chebyshev polynomials for solving fractional differential equations, Spectral difference method for unstructured grids. II. Extension to the Euler equations, Domain decomposition techniques using spectral methods, An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics, Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations, Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme, Implicit-explicit methods for reaction-diffusion problems in pattern formation, Comparing coarray Fortran (CAF) with MPI for several structured mesh PDE applications, An efficient solution of Hamiltonian boundary value problems by combined Gauss pseudospectral method with differential continuation approach, High-order time splitting for the Stokes equations, Grid approximations of the pseudospectral type with an improved condition number for second-order differential operators, A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving, Aliasing errors due to quadratic nonlinearities on triangular spectral /\(hp\) element discretisations, Experimental and numerical studies of guided wave damage detection in bars with structural discontinuities, Modelling of in-plane wave propagation in a plate using spectral element method and Kane-Mindlin theory with application to damage detection, A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem, The cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in hilbert space, Small-scale structures in Boussinesq convection, Non-modal instabilities of two-dimensional disturbances in plane Couette flow of a power-law fluid, Generalized Jacobi-Gauss-Lobatto interpolation, Two-dimensional turbulence with rigid circular walls, Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions, A Legendre pseudospectral penalty scheme for solving time-domain Maxwell's equations, A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains, Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation, Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition, Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method, Multi Space Reduced Basis Preconditioners for Large-Scale Parametrized PDEs, Solution of nonlinear Volterra-Fredholm integrodifferential equations via hybrid of block-pulse functions and Lagrange interpolating polynomials, IMD based nonlinear Galerkin method., The spectrum of a Chebyshev-Fourier approximation for the Stokes equations, Periodic and localized states in natural doubly diffusive convection, Stability Analysis of a Film Flow Down an Incline in the Presence of a Floating Flexible Membrane, Thermocapillary instabilities in a liquid layer subjected to an oblique temperature gradient, Study on a Free Boundary Problem Arising in Porous Media, Stabilization techniques for spectral methods, On the Horton–Rogers–Lapwood convective instability with vertical vibration: Onset of convection, Direct numerical simulations of turbulent viscoelastic jets, A pseudospectral penalty scheme for 2D isotropic elastic wave computations, A numerical method for solving shortest path problems, Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions, A-Posteriori Error Estimates for Uniform p-Version Finite Element Methods in Square, Direct numerical simulation of laminar breakdown in high-speed, axisymmetric boundary layers, Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate, Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation, Superconvergence of a Chebyshev spectral collocation method, Numerical solutions of odd order linear and nonlinear initial value problems using a shifted Jacobi spectral approximations, Thermal radiation effects on heat and mass transfer over an unsteady stretching surface, Interfacial instability of pressure-driven channel flow for a two-species model of entangled wormlike micellar solutions, High order numerical approximation of minimal surfaces, Feedback stabilisation of a one-dimensional nonlinear pool-boiling system, Numerical investigation of the convective flow in the toroidal gap, The use of Chebyshev polynomials in the space-time least-squares spectral element method, Metric identities and the discontinuous spectral element method on curvilinear meshes, Quadrature imposition of compatibility conditions in Chebyshev methods, A two-level correction method in space and time based on Crank–Nicolson scheme for Navier–Stokes equations, Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory, Numerical study of nonlinear heat transfer from a wavy surface to a high permeability medium with pseudo-spectral and smoothed particle methods, Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer, Review of Computational Aeroacoustics Algorithms, Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions, A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems, A multidomain spectral collocation method for the Stokes problem, A pseudo-spectral solution of 2-parameter Bratu's equation, The eigenvalues of Hermite and rational spectral differentiation matrices, A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation, Universality of small-scale motions within the turbulent/non-turbulent interface layer, Numerical method for solving linear boundary value problems by the Chebyshev \(\tau\)-method, Filtered hyperbolic moment method for the Vlasov equation, A comparative study of the performance of high resolution advection schemes in the context of data assimilation, On the use of transpiration patterns for reduction of pressure losses, A new linearly unstable mode in the core-annular flow of two immiscible fluids, Asymptotic scaling laws for the irrotational motions bordering a turbulent region, Rational and exponential Legendre Tau method on steady flow of a third grade fluid in a porous half space, Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis, Learning constitutive relations from indirect observations using deep neural networks, Error analysis for mapped Jacobi spectral methods, Turbulence modulation in buoyancy-driven bubbly flows, Transient numerical approximation of hyperbolic diffusions and beyond, An Efficient Legendre Pseudospectral Method for Solving Nonlinear Quasi Bang-Bang Optimal Control Problems, Nonconforming P1 Finite Element for the Biharmonic Problem and Its Application to Stokes Problem, The coupled dynamics of internal waves and hairpin vortices in stratified plane Poiseuille flow, Preconditioned Legendre spectral Galerkin methods for the non-separable elliptic equation, Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation, Distributive relaxations for the spectral Stokes operator, Direct solvers for the biharmonic eigenvalue problems using Legendre polynomials, Uniform momentum and temperature zones in unstably stratified turbulent flows, Chebyshev spectral method for the variable-order fractional mobile-immobile advection-dispersion equation arising from solute transport in heterogeneous media, A pseudospectral implicit particle-in-cell method with exact energy and charge conservation, Effects of wall vibrations on channel flows, Numerical solution of reaction-diffusion equations with convergence analysis, Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. II: Dynamics, Numerical Solution of the Controlled Rayleigh Nonlinear Oscillator by the Direct Spectral Method, Numerical Solution of the Controlled Rayleigh Nonlinear Oscillator by the Direct Spectral Method, <html> An efficient <i>hp</i> spectral collocation method for nonsmooth optimal control problems</html>