introduction to stochastic differential equations v1 2 (berkeley lecture notes) - l evans

introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans

introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans

... N(m 2 ,σ 2 2 ), then X + Y is N(m 1 + m 2 ,σ 2 1 + σ 2 2 ). To see this, just calculate φ X+Y (λ)=φ X (λ)φ Y (λ)=e −im 1 λ− λ 2 σ 2 1 2 e −im 2 λ− λ 2 σ 2 2 2 = e −i(m 1 +m 2 )λ− λ 2 2 (σ 2 1 +σ 2 2 ) .  22 G. ... conditional expectation. Let us take the linear space L 2 (Ω) = L 2 (Ω, U), which consists of all real-valued, U–measurable random varia...
Ngày tải lên : 31/03/2014, 15:56
  • 139
  • 429
  • 0
introduction to stochastic differential equations 1.2 - evans l c

introduction to stochastic differential equations 1.2 - evans l c

... N(m 2 ,σ 2 2 ), then X + Y is N(m 1 + m 2 ,σ 2 1 + σ 2 2 ). To see this, just calculate φ X+Y (λ)=φ X (λ)φ Y (λ)=e −im 1 λ− λ 2 σ 2 1 2 e −im 2 λ− λ 2 σ 2 2 2 = e −i(m 1 +m 2 )λ− λ 2 2 (σ 2 1 +σ 2 2 ) .  22 G. ... conditional expectation. Let us take the linear space L 2 (Ω) = L 2 (Ω, U), which consists of all real-valued, U–measurable random varia...
Ngày tải lên : 08/04/2014, 12:24
  • 139
  • 649
  • 0
Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt

Tài liệu AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ppt

... Introduction 22 6 9 .2 First-order equations 22 6 9.3 Classification of second-order equations 22 8 9.4 The wave equation in R 2 and R 3 23 4 9.5 The eigenvalue problem for the Laplace equation 24 2 9.6 Separation ... x L ,λ n =  nπ L  2 n = 1, 2, 3, Recall from linear algebra that an eigenvalue has multiplicity m if the space consisting of its eigenvectors is m-dimensi...
Ngày tải lên : 16/02/2014, 15:20
  • 385
  • 508
  • 2
introduction to partial differential equations - a computational approach - a. tveito, r. winther

introduction to partial differential equations - a computational approach - a. tveito, r. winther

... Function 42 2.1 .2 Smoothness of the Solution 43 2. 1.3 A Maximum Principle 44 2. 2 A Finite Difference Approximation 45 2. 2.1 Taylor Series 46 2. 2 .2 A System of Algebraic Equations 47 2. 2.3 Gaussian Elimination ... Series 25 2 8.1.3 The Complex Form 25 5 xiv Contents 8.1.4 Changing the Scale 25 6 8 .2 Boundary Value Problems and Orthogonal Functions 25 7 8 .2. 1 Other Bound...
Ngày tải lên : 31/03/2014, 15:56
  • 402
  • 419
  • 0
Lecture Notes: Introduction to Finite Element Method (Chapter 2)

Lecture Notes: Introduction to Finite Element Method (Chapter 2)

... 12 1 21 22 2 1 2 1 2 1 2 : : (3) A is called a n×n (square) matrix, and x and b are (column) vectors of dimension n. Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction © ... 1. Introduction © 1998 Yijun Liu, University of Cincinnati 10 and det a a a a a a a a a a a a a a a a a a a a a a a a a a a 11 12 13 21 22 23 31 32 33 11 22 33...
Ngày tải lên : 17/10/2013, 11:15
  • 6
  • 604
  • 0
Partial Differential Equations part 2

Partial Differential Equations part 2

... FTCS algorithm is also an example of a single-level scheme, since only values at time level n have to be stored to find values at time level n +1. von Neumann Stability Analysis Unfortunately, equation ... ed. (New York: Wiley-Interscience). [1] Centrella, J., and Wilson, J.R. 1984, Astrophysical Journal Supplement , vol. 54, pp. 22 9 24 9, Appendix B. [2] Hawley, J.F., Smarr, L. L., an...
Ngày tải lên : 07/11/2013, 19:15
  • 14
  • 433
  • 0
Tài liệu Integration of Ordinary Differential Equations part 2 pptx

Tài liệu Integration of Ordinary Differential Equations part 2 pptx

... http://www.nr.com or call 1-8 0 0-8 7 2- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). y(x) 1 2 x 1 x 2 x 3 x Figure 16.1.1. Euler’s method. In this simplest (and least accurate) ... 1980, Introduction to Numerical Analysis (New York: Springer-Verlag), Chapter 7. Lambert, J. 1973, Computational Methods in Ordinary Differential Equa...
Ngày tải lên : 15/12/2013, 04:15
  • 5
  • 448
  • 0
Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf

Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf

... 1) 2  x 22 y 11  2 + x 21 y 21  2 − x 21 y 11  − x 22 y 12  −x 22 y 21  − x 21 y 22  + x 21 y 12 + x 12 (y 21 +  (−y 11 + y 12 − y 22 )) + x 22 y 22 + x 11  y 22  2 − (y 12 + y 21 )  + y 11  . The ... γ 2 μ 1 + γ 2 μ 2 − γ 1 μ 2  − γ 1 x 1 + γ 2 x 1 − γ 2 x 2 + γ 1 x 2  2 − 1 , ξ =  (−γ 2 1 +2 2 γ 1...
Ngày tải lên : 19/02/2014, 22:20
  • 868
  • 1.3K
  • 0

Xem thêm

Từ khóa: