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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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