On the stability and convergence of discretizations of initial value p.d.e.s

On the stability and convergence of discretizations of initial value p.d.e.s

This paper examines the stability and convergence of discretizations of initial value p.d.e.s using spatial discretization followed by time integration with an explicit one-step method. A Cauchy integral representation is used to bound the growth in the discrete solution. New results are obtained re...

Descripció completa

Dades bibliogràfiques
Autor principal:	Giles, M
Format:	Journal article
Idioma:	English
Publicat:	1997

Ítems similars

Stability and convergence of discretisations of initial value p.d.e.'s
per: Giles, M
Publicat: (1996)

A Picard-Maclaurin theorem for initial value PDEs
per: James S. Sochacki, et al.
Publicat: (2000-01-01)

Stability for nonlinear diffusive PDEs
per: Alasio, L
Publicat: (2018)

On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs
per: F. N. Koumboulis, et al.
Publicat: (1998-01-01)

The Order Completion Method for Systems of Nonlinear PDEs: Solutions of Initial Value Problems
per: Jan Harm van der Walt
Publicat: (2013-01-01)

Discretization and solution of elliptic PDEs--a transform domain approach
per: Kuo, Chung-Chieh
Publicat: (2005)

Nonlinear equivalence, reduction of PDEs to ODEs and fast convergent numerical methods /
per: 426679 Rosinger, Elemer E.
Publicat: (1983)

The asymptotic stability for a system of nonlinear PDEs
per: Petras Golokvosčius
Publicat: (2002-12-01)

Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity
per: Haji-Ali, A, et al.
Publicat: (2016)

Existence of solutions for 4p-order PDES
per: Moradi F., et al.
Publicat: (2022-05-01)

Convergence Rate for a Curse-of-Dimensionality-Free Method for a Class of HJB PDEs
per: Kluberg, Lionel J., et al.
Publicat: (2010)

Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
per: Giles, M, et al.
Publicat: (2002)

Convergence Analysis and Cost Estimate of an MLMC-HDG Method for Elliptic PDEs with Random Coefficients
per: Meng Li, et al.
Publicat: (2021-05-01)

Analyzing the convergence of a semi-numerical-analytical scheme for non-linear fractional PDEs
per: Javed Iqbal, et al.
Publicat: (2023-09-01)

Problems of stability and well-posedness in the calculus of variations and related PDEs
per: Kalayanamit, P
Publicat: (2022)

Stability Analysis of Second-Order Linear PDEs on Time Scales
per: Ruihong Liu, et al.
Publicat: (2023-01-01)

Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications
per: Khoromskij Boris N.
Publicat: (2015-01-01)

Stabilization and Stability Robustness of Coupled Non-Constant Parameter Time Fractional PDEs
per: Juan Chen, et al.
Publicat: (2019-01-01)

Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
per: Cliffe, K, et al.
Publicat: (2011)

A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs
per: Xiaobing Feng, et al.
Publicat: (2022-08-01)

Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients
per: Giles, M, et al.
Publicat: (2016)

Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs
per: Kamal Ait Touchent, et al.
Publicat: (2018-09-01)

A B-Polynomial Approach to Approximate Solutions of PDEs with Multiple Initial Conditions
per: Muhammad I. Bhatti, et al.
Publicat: (2024-11-01)

Sharp error estimates for discretizations of the 1D convection-diffusion equation with Dirac initial data
per: Carter, R, et al.
Publicat: (2007)

Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis
per: Khadijeh Sadri, et al.
Publicat: (2022-01-01)

The National PDES Testbed : an overview /
per: 410951 Furlani, Cita M.

MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
per: Sulaiman, J., et al.
Publicat: (2010)

Existence of solutions for 4p-order PDES with Neumann boundary conditions
per: Moradi N., et al.
Publicat: (2023-01-01)

Hyperbolic extensions of constrained PDEs
per: Fernando Abalos, et al.
Publicat: (2025-02-01)

Advances in Singular and Degenerate PDEs
per: Salvatore Fragapane
Publicat: (2022-12-01)

PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
per: MASSIMILIANO GUBINELLI, et al.
Publicat: (2015-08-01)

On linear and nonlinear fractional PDEs
per: Ahmad Jamshad, et al.
Publicat: (2013-01-01)

An alternative approach to critical PDEs
per: Nikos Labropoulos
Publicat: (2017-06-01)

Integration of PDES/STEP and CAPP /
per: 452588 Wang, H. P. Ben, et al.

Sparse tensor Galerkin discretization of parametric and random parabolic PDEs - analytic regularity and generalized polynomial chaos approximation
per: Hoang, Viet Ha., et al.
Publicat: (2014)

Numerical simulation of discretized second-order variable coefficient elliptic PDEs by a Classical Eight-step Model
per: Emmanuel Oluseye Adeyefa, et al.
Publicat: (2022-10-01)

Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions
per: Douglas R. Anderson, et al.
Publicat: (2016-01-01)

Discretization Methods for Stable Initial Value Problems /
per: Gekeler, Eckart, author 461196
Publicat: (1984)

Sliding mode control to stabilization of coupled time fractional parabolic PDEs subject to disturbances
per: Jiake Sun, et al.
Publicat: (2024-11-01)

Probabilistic representations of solutions of nonlinear PDEs
per: Penent, Guillaume
Publicat: (2022)