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...

Полное описание

Библиографические подробности
Главный автор:	Giles, M
Формат:	Journal article
Язык:	English
Опубликовано:	1997

Схожие документы

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

A Picard-Maclaurin theorem for initial value PDEs
по: James S. Sochacki, и др.
Опубликовано: (2000-01-01)

Stability for nonlinear diffusive PDEs
по: Alasio, L
Опубликовано: (2018)

On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs
по: F. N. Koumboulis, и др.
Опубликовано: (1998-01-01)

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

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

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

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

Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity
по: Haji-Ali, A, и др.
Опубликовано: (2016)

Existence of solutions for 4p-order PDES
по: Moradi F., и др.
Опубликовано: (2022-05-01)

Convergence Rate for a Curse-of-Dimensionality-Free Method for a Class of HJB PDEs
по: Kluberg, Lionel J., и др.
Опубликовано: (2010)

Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
по: Giles, M, и др.
Опубликовано: (2002)

Convergence Analysis and Cost Estimate of an MLMC-HDG Method for Elliptic PDEs with Random Coefficients
по: Meng Li, и др.
Опубликовано: (2021-05-01)

Analyzing the convergence of a semi-numerical-analytical scheme for non-linear fractional PDEs
по: Javed Iqbal, и др.
Опубликовано: (2023-09-01)

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

Stability Analysis of Second-Order Linear PDEs on Time Scales
по: Ruihong Liu, и др.
Опубликовано: (2023-01-01)

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

Stabilization and Stability Robustness of Coupled Non-Constant Parameter Time Fractional PDEs
по: Juan Chen, и др.
Опубликовано: (2019-01-01)

Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
по: Cliffe, K, и др.
Опубликовано: (2011)

A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs
по: Xiaobing Feng, и др.
Опубликовано: (2022-08-01)

Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients
по: Giles, M, и др.
Опубликовано: (2016)

Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs
по: Kamal Ait Touchent, и др.
Опубликовано: (2018-09-01)

Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs
по: Xiu Ye, и др.
Опубликовано: (2020-11-01)

A B-Polynomial Approach to Approximate Solutions of PDEs with Multiple Initial Conditions
по: Muhammad I. Bhatti, и др.
Опубликовано: (2024-11-01)

Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis
по: Khadijeh Sadri, и др.
Опубликовано: (2022-01-01)

Sharp error estimates for discretizations of the 1D convection-diffusion equation with Dirac initial data
по: Carter, R, и др.
Опубликовано: (2007)

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

MEGSOR iterative scheme for the solution of 2D elliptic PDEs.
по: Sulaiman, J., и др.
Опубликовано: (2010)

Existence of solutions for 4p-order PDES with Neumann boundary conditions
по: Moradi N., и др.
Опубликовано: (2023-01-01)

Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum
по: George Maria Selvam, и др.
Опубликовано: (2021-05-01)

Hyperbolic extensions of constrained PDEs
по: Fernando Abalos, и др.
Опубликовано: (2025-02-01)

Advances in Singular and Degenerate PDEs
по: Salvatore Fragapane
Опубликовано: (2022-12-01)

PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
по: MASSIMILIANO GUBINELLI, и др.
Опубликовано: (2015-08-01)

On linear and nonlinear fractional PDEs
по: Ahmad Jamshad, и др.
Опубликовано: (2013-01-01)

An alternative approach to critical PDEs
по: Nikos Labropoulos
Опубликовано: (2017-06-01)

Integration of PDES/STEP and CAPP /
по: 452588 Wang, H. P. Ben, и др.

Sparse tensor Galerkin discretization of parametric and random parabolic PDEs - analytic regularity and generalized polynomial chaos approximation
по: Hoang, Viet Ha., и др.
Опубликовано: (2014)

Numerical simulation of discretized second-order variable coefficient elliptic PDEs by a Classical Eight-step Model
по: Emmanuel Oluseye Adeyefa, и др.
Опубликовано: (2022-10-01)

Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions
по: Douglas R. Anderson, и др.
Опубликовано: (2016-01-01)

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