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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Giles, M
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	1997

Eitemau Tebyg

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

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

Stability for nonlinear diffusive PDEs
gan: Alasio, L
Cyhoeddwyd: (2018)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Advances in Singular and Degenerate PDEs
gan: Salvatore Fragapane
Cyhoeddwyd: (2022-12-01)

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

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

An alternative approach to critical PDEs
gan: Nikos Labropoulos
Cyhoeddwyd: (2017-06-01)

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

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

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

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

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

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

Probabilistic representations of solutions of nonlinear PDEs
gan: Penent, Guillaume
Cyhoeddwyd: (2022)