mol and differential algebraic equations dae
Phương trình vi phân - đại số và phương trình sai phân ẩn = Differential-Algebraic Equations and Implivit Difference Equations
Ngày tải lên :
18/03/2015, 11:46
... (lilĨL-iriR X' equations and cli(ÍC lcntiai - algebraic equations A d d M a tli Viet 2(X 1)(2 (M p -6 y I’ K A n h , II T N Yen and T Ọ Bi nil O il quasi linear im p lic il ( lillc tv iK c equations, ... difference equations, which is sim ilar to that of linear differential- algebraic equations Then we extend this index notion to a class o f nonlinear implicit difference equations and prove some ... tới không chứng minh Tiếng Anh + Title: Connections between implicit difference equations and differentialalgebraic equations + Journal: A c ta M a th e m a tica V ietnam ica + Volum e: 2004, Vol...
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Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
Ngày tải lên :
13/02/2014, 03:20
... )} with a symmetric and positive define matrix D ∈ R r×r Here Ir and On−r stand for the identity and zero matrices of appropriate dimensions respectively Proof The symmetric and nonnegative matrix ... x ∈ ∂Ω and t ∈ (0, 1) 207 (29) and a BVP for the elliptic equation −(wx1 x1 + wx2x2 ) = F2 (x1 , x2 , t) w(x, t) = (30) The PFS method and PSU method [4,3] are implemented in C and MPI and executed ... Problem for Linear PDAEs, Int.J.Appl.Math.Comput.Sci., Vol 12, No (2002) 487 [3] T Lu, P Neittaanmaki, X.C Tai, A Parallel Splitting-up Method for Partial Differential Equations and Its Apptications...
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stochastic integration and differential equations 2ed - protter
Ngày tải lên :
08/04/2014, 12:25
... Solutions 249 Stability of Stochastic Differential Equations 257 Fisk-Stratonovich Integrals and Differential Equations 270 The Markov Nature of Solutions ... Philip E Protter Stochastic Integration and Differential Equations Second Edition Springer Author Philip E Protter Cornell University School of Operations Res and Industrial Engineering Rhodes Hall ... J A Trujillo Ferreras, R Williams, M Yor, and Yong Zeng Th Jeulin, K Shimbo, and Yan Zeng gave extraordinary help, and my editor C Byrne gives advice and has patience that is impressive Over the...
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Báo cáo hóa học: "EMBEDDING THEOREMS IN BANACH-VALUED B-SPACES AND MAXIMAL B-REGULAR DIFFERENTIAL-OPERATOR EQUATIONS" ppt
Ngày tải lên :
22/06/2014, 21:20
... Integral Equations and Operator Theory 35 (1999), no 4, 485–506 S Yakubov and Ya Yakubov, Differential-Operator Equations Ordinary and Partial Differential Equations, Chapman & Hall/CRC Monographs and ... S Agmon and L Nirenberg, Properties of solutions of ordinary differential equations in Banach space, Communications on Pure and Applied Mathematics 16 (1963), 121–239 [2] M S Agranoviˇ and M I ... Hieber, and J Pr¨ ss, -boundedness, Fourier multipliers and problems of elliptic and u parabolic type, Memoirs of the American Mathematical Society 166 (2003), no 788, viii+114 [13] G Dore and S...
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Báo cáo hóa học: " NIELSEN NUMBER AND DIFFERENTIAL EQUATIONS" doc
Ngày tải lên :
23/06/2014, 00:20
... last variable and which, for every λ ∈ [0,1], satisfies that χ(·, ·,λ) is a random operator A measurable map (a random variable) x : Ω → X ∩ Y is said to be a random fixed-point of a random operator ... 154 Nielsen number and differential equations one can prove (see [5] or [9]) that Tτ is a random operator with compact values, composed of a random operator with Rδ -values and the continuous ... continuous self-map of Tn and τ is a positive number (3.33) Jan Andres 155 Remark 3.6 Examples 3.2 and 3.4 can then be appropriately randomized as well 3.6 ad (f) Let M ∈ R and let ΓM := {(t,x) ∈...
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Báo cáo toán học: "The Central Exponent and Asymptotic Stability of Linear Differential Algebraic Equations of Index 1" pdf
Ngày tải lên :
06/08/2014, 05:20
... suggesting the problem and for the help during the work on this paper References K Balla and R M¨rz, Linear differential algebraic equations of index and their a adjoint equations, Results Math ... and R M¨rz, Differential Algebraic Equations and Their Numerical a Treatment, Teubner - Text Math 88, Leipzig, 1986 M Hanke and A Rodriguetz, Asymptotic properties of regularized differential algebraic ... G−1 Q (3.15) for all t ∈ R+ and some < α < Theorem 3.3 Suppose that (2.1) is a linear DAE of index and the matrices A(t), B(t), A−1 (t) and P (t) are continuous and bounded on R+ Suppose fur1...
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Bài toán đ iều khiển cho hệ thời gian tuyến tính rời rạc (theory of fractional caculus and applications ) (to differential fractional equations)
Ngày tải lên :
19/12/2014, 19:28
... Chương 3: Phương trình vi phân phân thứ (Fractional differential equations) 1 7 12 12 12 16 ... giải tích phân số (Theory of fractional caculus) Phương trình vi phân phân thứ (Fractional differential equations) Báo cáo hoàn thành hướng dẫn tận tình TS HÀ BÌNH MINH Em xin chân thành cám ơn ... ) + a2 ) 29 Nguyễn Thị Hằng k35 CN Toán Chương Phương trình vi phân phân thứ (Fractional differential equations) Trong chương này, ta xét phương trình vi phân phân thứ bậc (n, q) 3.1 3.1.1 Phương...
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almost periodic functions and differential equations
Ngày tải lên :
29/10/2015, 12:29
... been appreciably extended, and includes not only ordinary differential equations and classical dynamical systems, but wide classes of partial differential equations and equations in Banach spaces ... Almost periodic functions and differential equations Almost periodic functions and differential equations B.M.LEVITAN & V.V.ZHIKOV Translated by L W Longdon ... years the theory of almost periodic equations has been developed in connection with problems of differential equations, stability theory, dynamical systems, and so on The circle of applications...
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Markov processes and the Kolmogorov equations
Ngày tải lên :
18/10/2013, 03:20
... B t , B t0 ; To compute the differential w.r.t t, treat t0 and B t0 as constants: t t0: dX t = a dt + dB t : Example 16.2 (Geometric Brownian motion) Let r and be constants Consider dX t ... compute the differential w.r.t t, treat t0 and B t0 as constants: dX t = r , 2 X t dt + X t dB t + X t dt 2 = rX t dt + X t dB t : 16.2 Markov Property Let t0 t1 be given and let h y ... = x, the random variable X t1 is normal with mean x + a t1 , t0 and variance p t0; t1; x; y = p exp , y , x + a t1 , t0 : 2 t1 , t0 2 t1 , t0 Note that p depends on t0 and t1 only...
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Tài liệu Solution of Linear Algebraic Equations part 1 docx
Ngày tải lên :
15/12/2013, 04:15
... sections For clarity, and to avoid writing endless ellipses (· · ·) we will write out equations only for the case of four equations and four unknowns, and with three different righthand side vectors ... (§2.4), band diagonal (§2.4), Toeplitz (§2.8), Vandermonde (§2.8), sparse (§2.7) • Strassen’s “fast matrix inversion” (§2.11) 36 Chapter Solution of Linear Algebraic Equations Coleman, T.F., and ... Coleman, T.F., and Van Loan, C 1988, Handbook for Matrix Computations (Philadelphia: S.I.A.M.) Forsythe, G.E., and Moler, C.B 1967, Computer Solution of Linear Algebraic Systems (Englewood Cliffs,...
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Tài liệu Solution of Linear Algebraic Equations part 2 ppt
Ngày tải lên :
15/12/2013, 04:15
... where A and Y are square matrices, the bi ’s and xi ’s are column vectors, and is the identity matrix, simultaneously solves the linear sets A · x1 = b A · x2 = b2 A · x3 = b3 (2.1.3) and A·Y ... rows of A and the corresponding rows of the b’s and of 1, does not change (or scramble in any way) the solution x’s and Y Rather, it just corresponds to writing the same set of linear equations ... right-hand side vectors b and share the same storage, since after each column in A is reduced, the corresponding row entry in the b’s is never again used 40 Chapter Solution of Linear Algebraic Equations...
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Tài liệu Solution of Linear Algebraic Equations part 11 ppt
Ngày tải lên :
15/12/2013, 04:15
... set of n linear equations A · x = b a[1 n][1 n], c[1 n], and d[1 n] are input as the output of the routine qrdcmp and are not modified b[1 n] is input as the right-hand side vector, and is overwritten ... R = Q · (R + u ⊗ v) (2.10.8) One can go back and forth between equations (2.10.7) and (2.10.8) using the fact that Q is orthogonal, giving t = v and either s = Q · u or u = QT · s (2.10.9) The ... Solves the set of n linear equations R · x = b, where R is an upper triangular matrix stored in a and d a[1 n][1 n] and d[1 n] are input as the output of the routine qrdcmp and are not modified b[1...
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Tài liệu Solution of Linear Algebraic Equations part 3 pdf
Ngày tải lên :
24/12/2013, 12:16
... Gauss-Jordan elimination, each containing one subtraction and one multiplication, are executed N and N M times (where there are N equations and M unknowns) The corresponding loops in Gaussian elimination ... backsubstitution The combination of Gaussian elimination and backsubstitution yields a solution to the set of equations The advantage of Gaussian elimination and backsubstitution over Gauss-Jordan elimination ... of Linear Algebraic Equations Backsubstitution But how we solve for the x’s? The last x (x4 in this example) is already isolated, namely x4 = b4 /a44 (2.2.2) x3 = [b − x4 a34 ] a33 and then proceed...
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Tài liệu Solution of Linear Algebraic Equations part 4 docx
Ngày tải lên :
24/12/2013, 12:16
... M.A., and Moler, C.B 1977, Computer Methods for Mathematical Computations (Englewood Cliffs, NJ: Prentice-Hall), §3.3, and p 50 Forsythe, G.E., and Moler, C.B 1967, Computer Solution of Linear Algebraic ... the α’s and β’s that occur on the right-hand side of equations (2.3.12) and (2.3.13) are already determined by the time they are needed You will also see that every aij is used only once and never ... the right-hand side vector B, and returns with the solution vector X a, n, and indx are not modified by this routine and can be left in place for successive calls with different right-hand sides...
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Tài liệu Solution of Linear Algebraic Equations part 5 docx
Ngày tải lên :
24/12/2013, 12:16
... indx[], float b[]) Given the arrays a, al, and indx as returned from bandec, and given a right-hand side vector b[1 n], solves the band diagonal linear equations A · x = b The solution vector x ... b[i]=dum/a[i][1]; if (l < mm) l++; } } The routines bandec and banbks are based on the Handbook routines bandet1 and bansol1 in [1] CITED REFERENCES AND FURTHER READING: Keller, H.B 1968, Numerical ... 2.4 Tridiagonal and Band Diagonal Systems of Equations 51 Notice that a1 and cN are undefined and are not referenced by the routine that follows #include...
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Tài liệu Solution of Linear Algebraic Equations part 12 pdf
Ngày tải lên :
24/12/2013, 12:16
... additions and subtractions It is not clear that anything has been gained But notice that in (2.11.3) the a’s and b’s are never commuted Therefore (2.11.3) and (2.11.4) are valid when the a’s and b’s ... Solution of Linear Algebraic Equations CITED REFERENCES AND FURTHER READING: Strassen, V 1969, Numerische Mathematik, vol 13, pp 354–356 [1] Kronsjo, L 1987, Algorithms: Their Complexity and Efficiency, ... matrices a11 a21 a12 a22 and c11 c21 c12 c22 (2.11.5) are inverses of each other Then the c’s can be obtained from the a’s by the following operations (compare equations 2.7.22 and 2.7.25): R1 = Inverse(a11...
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Tài liệu Solution of Linear Algebraic Equations part 6 pptx
Ngày tải lên :
24/12/2013, 12:16
... and all we need to solve (2.5.4) is compute the right-hand side and backsubstitute! The code to all this is concise and straightforward: 57 2.5 Iterative Improvement of a Solution to Linear Equations ... equations A · X = B The matrix a[1 n][1 n], and the vectors b[1 n] and x[1 n] are input, as is the dimension n Also input is alud[1 n][1 n], the LU decomposition of a as returned by ludcmp, and ... ’s with randomly chosen directions in N -space The largest eigenvalue λ can then be bounded by the maximum of max si and 2N Var(si )/µ(si ), where Var and µ denote the sample variance and mean,...
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Tài liệu Solution of Linear Algebraic Equations part 7 docx
Ngày tải lên :
24/12/2013, 12:16
... • • • • • • • • • • • • tridiagonal band diagonal (or banded) with bandwidth M band triangular block diagonal block tridiagonal block triangular cyclic banded singly (or doubly) bordered block ... CITED REFERENCES AND FURTHER READING: Golub, G.H., and Van Loan, C.F 1989, Matrix Computations, 2nd ed (Baltimore: Johns Hopkins University Press), §8.3 and Chapter 12 Lawson, C.L., and Hanson, R ... M.A., and Moler, C.B 1977, Computer Methods for Mathematical Computations (Englewood Cliffs, NJ: Prentice-Hall), Chapter [1] Wilkinson, J.H., and Reinsch, C 1971, Linear Algebra, vol II of Handbook...
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