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...

書目詳細資料
主要作者:	Giles, M
格式:	Journal article
語言:	English
出版:	1997

相似書籍

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

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

Stability for nonlinear diffusive PDEs
由: Alasio, L
出版: (2018)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Advances in Singular and Degenerate PDEs
由: Salvatore Fragapane
出版: (2022-12-01)

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

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

An alternative approach to critical PDEs
由: Nikos Labropoulos
出版: (2017-06-01)

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

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

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

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

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

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

Probabilistic representations of solutions of nonlinear PDEs
由: Penent, Guillaume
出版: (2022)