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Initialization and Extension (Theorems M6, M7, M8)

Sergiu Klainerman and Jérémie Szeftel

in Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691212425
eISBN:
9780691218526
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691212425.003.0008
Subject:
Mathematics, Geometry / Topology

This chapter focuses on the proof for Theorem M6 concerning initialization, Theorem M7 concerning extension, and Theorem M8 concerning the improvement of higher order weighted energies. It first ... More


Local level model

J. Durbin and S.J. Koopman

in Time Series Analysis by State Space Methods: Second Edition

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199641178
eISBN:
9780191774881
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641178.003.0002
Subject:
Mathematics, Probability / Statistics

This chapter discusses the basic techniques of state space analysis — such as filtering, smoothing, initialization, and forecasting — in terms of a simple example of a state space model, the local ... More


Initialisation of filter and smoother

J. Durbin and S.J. Koopman

in Time Series Analysis by State Space Methods: Second Edition

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199641178
eISBN:
9780191774881
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641178.003.0005
Subject:
Mathematics, Probability / Statistics

Computational algorithms in state space analyses are mainly based on recursions, that is, formulae in which the value at time t + 1 is calculated from earlier values for t, t − 1, …, 1. This chapter ... More


Initialization Procedures

T. N. Krishnamurti, H. S. Bedi, and V. M. Hardiker

in An Introduction to Global Spectral Modeling

Published in print:
1998
Published Online:
November 2020
ISBN:
9780195094732
eISBN:
9780197560761
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195094732.003.0011
Subject:
Earth Sciences and Geography, Meteorology and Climatology

In this chapter we describe two of the most commonly used initialization procedures. These are the dynamic normal mode initialization and the physical initialization methods. Historically, ... More


Physical Processes

T. N. Krishnamurti, H. S. Bedi, and V. M. Hardiker

in An Introduction to Global Spectral Modeling

Published in print:
1998
Published Online:
November 2020
ISBN:
9780195094732
eISBN:
9780197560761
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195094732.003.0010
Subject:
Earth Sciences and Geography, Meteorology and Climatology

In this chapter we present some of the physical processes that are used in numerical weather prediction modeling. Grid-point models, based on finite differences, and spectral models both generally ... More


Computable functions and semicomputable sets on many-sorted algebras

J. V. Tucker and J. I. Zucker

in Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures

Published in print:
2001
Published Online:
November 2020
ISBN:
9780198537816
eISBN:
9780191916663
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198537816.003.0005
Subject:
Computer Science, Computer Architecture and Logic Design

The theory of the computable functions is a mathematical theory of total and partial functions of the form f : Nn →N, and sets of the form. . . SÍ Nn. . .that can be defined by means of algorithms ... More


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