Numerical Approximation of Model Partial Differential Equations

Ionut Danaila (), Pascal Joly (), Sidi Mahmoud Kaber () and Marie Postel ()
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Ionut Danaila: Laboratoire de Mathématiques Raphaël Salem
Pascal Joly: Laboratoire Jacques-Louis Lions
Sidi Mahmoud Kaber: Laboratoire Jacques-Louis Lions
Marie Postel: Laboratoire Jacques-Louis Lions

Chapter Chapter 1 in An Introduction to Scientific Computing, 2023, pp 1-34 from Springer

Abstract: Abstract A partial differential equation (PDE) is a relation between a function of several variables and its partial derivatives. In this chapter, we first consider the simplest case of ordinary differential equations (ODE), with a solution depending on a single independent variable (time variable here). We present discrete methods for the numerical integration of ODEs. These methods (or numerical schemes) are then used to study three PDEs, depending both on time and space variables, modeling convection, wave and heat propagation.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-35032-0_1

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DOI: 10.1007/978-3-031-35032-0_1

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