Numerical Solution of Partial Differential Equations: An Introduction

By K. Morton, D. Mayers. 2005

634 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2b7bb378d8afa7a053bce15225b4ab0456daf25c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Jed Brown
2. Ed Bueler
3. Gerald Recktenwald

In Numerical Analysis

1. Jed Brown
2. Ed Bueler
3. Gerald Recktenwald
4. Dobromir T. Dimitrov
5. Hristo V. Kojouharov
6. Kailash C. Patidar

Citations in the corpus

• On non-standard finite difference models of reaction-diffusion equations (2005, background): “In the classical analysis of finite difference methods for partial differential equations, it is well-known that the quantities t and x do not vary independently from each other [12].”
• Finite-Difference Approximations to the Heat Equation (2004, background): “∗Associate Professor, Mechanical Engineering Department Portland State University, Portland, Oregon, gerry@me.pdx.edu”
• Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model (2008, methodology): “A condition applies to the explicit diffusion scheme: (maxj D̃ m j+1/2) ∆t 0.5∆x 2 [Morton and Mayers, 2005, chapter 2].”