Nature

Error Analysis and Numerical Methods for Parabolic Partial Differential Equations

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
JSTOR Daily

Quadrature-Galerkin Approximations to Solutions of Elliptic Differential Equations

In practice the Galerkin method for solving elliptic partial differential equations yields equations involving certain integrals which cannot be evaluated analytically. Instead these integrals are ...
Nature

Fourier Analysis and Numerical Methods for Differential Equations

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...
JSTOR Daily

Supplement to Discontinuous Polynomial Approximations in the Theory of One-Step, Hybrid and Multistep Methods for Nonlinear Ordinary Differential Equations

This is a preview. Log in through your library . Journal Information This journal, begun in 1943 as Mathematical Tables and Other Aids to Computation, publishes original articles on all aspects of ...
mccormick.northwestern.edu

ES_APPM 446-1: Numerical Solution of Partial Differential Equations

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...
Oil

Numerical approximation improves well survey calculation

It is now possible to improve the precision of well survey calculations by order of magnitude with numerical approximation. Although the most precise method of simulating and calculating a wellbore ...