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Spatial Discretizations

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter considers two ways of employing a spatial resolution that varies with position within a finite-difference method: using a nonuniform grid and mapping to a new coordinate variable. It ... More


Finite‐Difference Methods for Continuous‐Time Dynamic Programming

Graham V. Candler

in Computational Methods for the Study of Dynamic Economies

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199248278
eISBN:
9780191596605
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199248273.003.0008
Subject:
Economics and Finance, Macro- and Monetary Economics

Introduces some of the methods and underlying ideas behind computational fluid dynamics—in particular, the use is discussed of finite‐difference methods for the simulation of dynamic economies. A ... More


Numerical Method

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter describes a numerical method for solving equations of thermal convection on a computer. It begins by introducing the vorticity-streamfunction formulation as a means of conserving mass. ... More


Engineering of Valuation Models without Simulations

Andrew Davidson and Alexander Levin

in Mortgage Valuation Models: Embedded Options, Risk, and Uncertainty

Published in print:
2014
Published Online:
August 2014
ISBN:
9780199998166
eISBN:
9780199363698
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199998166.003.0009
Subject:
Economics and Finance, Financial Economics

This chapter introduces non-Monte Carlo methods of MBS valuation including closed-form solution of the OAS equation. Authors consider different specifications of prepayment function and illustrate ... More


Computational Seismology: A Practical Introduction

Heiner Igel

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198717409
eISBN:
9780191835070
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198717409.001.0001
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This volume is an introductory text to a range of numerical methods used today to simulate time-dependent processes in Earth science, physics, engineering, and many other fields. The physical problem ... More


Finite Difference Methods

S. G. Rajeev

in Fluid Mechanics: A Geometrical Point of View

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198805021
eISBN:
9780191843136
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805021.003.0014
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by ... More


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