Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
From MaRDI portal
Publication:3479436
DOI10.2307/2008770zbMath0701.65014OpenAlexW4236262148MaRDI QIDQ3479436
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2008770
weightshigh-order accuracyrecursionscompact finite difference formulasfinite difference coefficients
Finite difference methods for boundary value problems involving PDEs (65N06) Software, source code, etc. for problems pertaining to real functions (26-04) Numerical differentiation (65D25) Tables in numerical analysis (65A05)
Related Items
An optimal rational basis function in the finite element method for convection-diffusion problems in one space variables, A volume-of-fluid method for interface-resolved simulations of phase-changing two-fluid flows, Transport schemes in spherical geometries using spline-based RBF-FD with polynomials, An order-adaptive compact approximation Taylor method for systems of conservation laws, High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids, On the influence of numerical schemes and subgrid-stress models on large eddy simulation of turbulent flow past a square cylinder, Computing rates of Markov models of voltage-gated ion channels by inverting partial differential equations governing the probability density functions of the conducting and non-conducting states, Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation, Elastic immersive wavefield modelling, ATLAS: a real-space finite-difference implementation of orbital-free density functional theory, Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE's, A stable fluid-structure-interaction solver for low-density rigid bodies using the immersed boundary projection method, NumExp: numerical epsilon expansion of hypergeometric functions, Optimized spatial matrix representations of quantum Hamiltonians, A modified Crank-Nicolson scheme with incremental unknowns for convection dominated diffusion equations, Analysis of the wake dynamics of stiff and flexible cantilever beams using POD and DMD, A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method, An improved pseudospectral method for initial-boundary value problems, Properties of oscillons in hilltop potentials: energies, shapes, and lifetimes, Finite difference weights, spectral differentiation, and superconvergence, Numerical simulation of premixed H2–air cellular tubular flames, A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems, Some user-oriented comparisons of adaptive grid methods for partial differential equations in one space dimension, Mixed-dimensional coupling for time-dependent wave problems using the Nitsche method, Finite differences for higher order derivatives of low resolution data, Cahn-Hilliard on surfaces: a numerical study, Adaptive Finite-Difference Interval Estimation for Noisy Derivative-Free Optimization, Locally-corrected spectral methods and overdetermined elliptic systems, Modified wavenumber and aliasing errors of split convective forms for compressible flows, Vector-valued spline method for the spherical multiple-shell electro-magnetoencephalography problem, Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes, Optimization based methods for partially observed chaotic systems, Optimality and resonances in a class of compact finite difference schemes of high order, A Comparison Study of HO-CFD and DSC-RSK with Small Computational Bandwidths for Solving Some Classes of Boundary-Value and Eigenvalue Problems, A local adaptive method for the numerical approximation in seismic wave modelling, Сравнение методов аппроксимации градиентов в схемах, ориентированных на вихреразрешающие расчеты, Well-balanced adaptive compact approximate Taylor methods for systems of balance laws, Higher-order accurate numerical solution of unsteady Burgers' equation, A modified Chebyshev pseudospectral DD algorithm for the GBH equation, An improved rotated staggered-grid finite-difference method with fourth-order temporal accuracy for elastic-wave modeling in anisotropic media, Improving Unstructured Mesh Partitions for Multiple Criteria Using Mesh Adjacencies, Euler-Maclaurin and Gregory interpolants, Some discrete inequalities for central-difference type operators, Nonlinear flexural-torsional dynamic analysis of beams of variable doubly symmetric cross section -- application to wind turbine towers, An optimal scaling to computationally tractable dimensionless models: study of latex particles morphology formation, Analysis of a queue with general service demands and correlated service capacities, Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology, High order spatial generalization of 2D and 3D isotropic discrete gradient operators with fast evaluation on GPUs, Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically, Comparisons of compact and classical finite difference solutions of stiff problems on nonuniform grids, Postprocessing Galerkin method using quadratic spline wavelets and its efficiency, Simulations of the Helmholtz equation at any wave number for adaptive grids using a modified central finite difference scheme, Shock-resolved Navier–Stokes simulation of the Richtmyer–Meshkov instability start-up at a light–heavy interface, High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow, Capillary driven flow in circular cylindrical tubes, Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs, A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids, Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound, Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method, The Collocation Basis of Compact Finite Differences for Moment-Preserving Interpolations: Review, Extension and Applications, Discontinuous collocation methods and gravitational self-force applications, Combustion waves in Sal'nikov's reaction scheme in a spherically symmetric gas, Implicit predictor-corrector central finite difference scheme for the equations of magnetohydrodynamic simulations, Generalized operational matrices and error bounds for polynomial basis, Three-points interfacial quadrature for geometrical source terms on nonuniform grids, Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid \(h\)-refinement, A spectral domain decomposition approach for the generalized Burger's-Fisher equation, A new domain decomposition algorithm for generalized Burgers-Huxley equation based on Chebyshev polynomials and preconditioning, High-order combined multi-step scheme for solving forward backward stochastic differential equations, Finite Differences in Forward and Inverse Imaging Problems: MaxPol Design, A time-dependent neutron transport method of characteristics formulation with time derivative propagation, Radial collocation methods for the onset of convection in rotating spheres, A meshfree unification: reproducing kernel peridynamics, Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain, A multiphase lattice Boltzmann method for simulating immiscible liquid-liquid interface dynamics, A method for calculating meshless finite difference weights, An efficient flexible-order model for 3D nonlinear water waves, A wavelet optimized adaptive multi-domain method, Unnamed Item, Numerical solution of calcium-mediated dendritic branch model, An explicit form for higher order approximations of fractional derivatives, Symbolic semi-discretization of partial differential equation systems., An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation, Projection-based model reduction with dynamically transformed modes, Mesh independence of the generalized Davidson algorithm, Statistical approach for highest precision numerical differentiation, Exponential Polynomial Block Methods, A staggered time integrator for the linear acoustic wave equation using the Jacobi-Anger expansion, A discretization method for nonlocal diffusion type equations, Tensor renormalization group and the volume independence in 2D \(\mathrm{U}(N)\) and \(\mathrm{SU}(N)\) gauge theories, Compact approximate Taylor methods for systems of conservation laws, Сравнение аппроксимаций конвективных членов в методах семейства DES, Highly convergent simulations of transport dynamics in organic light-emitting diodes, Numerical inversion of Laplace transform on the real line of probability density functions, Rigorous Global Optimization for Collision Risk Assessment on Perturbed Orbits, Resonance-based schemes for dispersive equations via decorated trees, An algorithm-independent measure of progress for linear constraint propagation, Cohomological learning of periodic motion, An adaptive method of lines solution of the Korteweg-de Vries equation, A note on stability of pseudospectral methods for wave propagation, Large eddy simulation of turbulent flows in complex and moving rigid geometries using the immersed boundary method, A convolutional dispersion relation preserving scheme for the acoustic wave equation, Topology optimization for realizing tailored self‐collimation in phononic crystals, Direct estimation of parameters in ODE models using WENDy: weak-form estimation of nonlinear dynamics, Finite difference method in prolate spheroidal coordinates for freely suspended spheroidal particles in linear flows of viscous and viscoelastic fluids, EBWeyl: a code to invariantly characterize numerical spacetimes, Digital orbitals: connecting the tight-binding and plane-wave approaches through sampled-real-space models, A Kernel-Based Least-Squares Collocation Method for Surface Diffusion, Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection, Traveling wave solutions of the Kawahara equation joining distinct periodic waves, A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems, UTV decomposition of dual matrices and its applications, Reconstruction of a time-dependent potential from wave measurements, Difference operators from interpolating moving least squares and their deviation from optimality, Surfactant spreading in a two-dimensional cavity and emergent contact-line singularities, Particle Method Modeling of Nonlocal Multiresolution Continua, Derivative formulae and errors for non-uniformly spaced points, The β Fermi-Pasta-Ulam-Tsingou recurrence problem, Automatic Exploration Techniques of Numerical Bifurcation Diagrams Illustrated by the Ginzburg--Landau Equation, A Class of Exponential Integrators Based on Spectral Deferred Correction, On concentration properties of partially observed chaotic systems, Differentiation via Logarithmic Expansions, On the stability of the μ(I) rheology for granular flow, Toward Computerized Efficient Estimation in Infinite-Dimensional Models, A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws, Spatiotemporal system identification on nonperiodic domains using Chebyshev spectral operators and system reduction algorithms, Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation, Rare extinction events in cyclic predator–prey games
Cites Work
