Scientific Computing with Ordinary Differential Equations

Authors:
Peter Deuflhard;Folkmar Bornemann
Affiliations:
-;-
Venue:
Scientific Computing with Ordinary Differential Equations
Year:
2002

Citing 0
Cited 20

Improving locality for ODE solvers by program transformations

Scientific Programming
A rational Krylov method for solving time-periodic differential equations

Applied Numerical Mathematics
Simulating magnetic storage elements: implementation of the micromagnetic model into MATLAB - case study for standardizing simulation environments

Proceedings of the 2007 Summer Computer Simulation Conference
Extrapolation discontinuous Galerkin method for ultraparabolic equations

Journal of Computational and Applied Mathematics
Pointwise nonlinear scaling for reaction--diffusion equations

Applied Numerical Mathematics
Smooth initialization of lattice Boltzmann schemes

Computers & Mathematics with Applications
On the solution of the polynomial systems arising in the discretization of certain ODEs

Computing
High-order W-methods

Journal of Computational and Applied Mathematics
Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems

Journal of Computational and Applied Mathematics
PDE-independent adaptive hp-FEM based on hierarchic extension of finite element spaces

Journal of Computational and Applied Mathematics
An adaptive extrapolation discontinuous Galerkin method for the valuation of Asian options

Journal of Computational and Applied Mathematics
Original article: Numerical calculation of wear in mechanical systems

Mathematics and Computers in Simulation
Error-controlled global sensitivity analysis of ordinary differential equations

Journal of Computational Physics
Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations

Journal of Scientific Computing
Positivity and Conservation Properties of Some Integration Schemes for Mass Action Kinetics

SIAM Journal on Numerical Analysis
Smooth functional tempering for nonlinear differential equation models

Statistics and Computing
Using Chebyshev Polynomials to Approximate Partial Differential Equations: A Reply

Computational Economics
Mean-square stability analysis of numerical schemes for stochastic differential systems

Journal of Computational and Applied Mathematics
Original article: Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: Definition and outlook

Mathematics and Computers in Simulation
Asymptotic mean-square stability of two-step Maruyama schemes for stochastic differential equations

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.01

Visualization

Abstract

From the Publisher:Graduate students and researchers in mathematics, computer science, and engineering will find this book useful. Chapter summaries, detailed illustrations, and exercises are contained throughout the book with many interesting applications taken from a rich variety of areas.