We consider the nonlinear system of equations that results from the Van Leer flux vector-splitting discretization of the one dimensional Euler equations. This nonlinear system is linearized at the discrete solution. The main topic of this paper is a convergence analysis of blockGauss–Seidel methods applied to this linear system of equations. Both the lexicographic and the symmetric block-Gauss–...

Gauss-Seidel is an iterative computation used for solving a set of simultaneous linear equations, A~u = ~ f . If the matrix A uses a sparse matrix representation, storing only nonzeros, then the data dependences in the computation arise from A’s nonzero structure. We use this structure to schedule the computation at runtime using a technique called full sparse tiling. The sparse tiled computati...

[1] Seidel, T., Golldack, D., Dietz, K.J. (2005). Mapping of C-termini of V-ATPase subunits by in vivo-FRET measurements. FEBS letters 579: 4374-4382 [2] Kader, M.A., Seidel, T., Golldack, D., Lindberg, S. (2006). Expression of OsHKT1, OsHKT2, and OsVHA are differentially regulated under NaCl stress in salt-sensitive and salt-tolerant rice (Oryza sativa L.) cultivars. J. Exp. Bot. 57: 4257-4268...

Tujuan dari penelitian ini adalah untuk meningkatkan pemahaman mahasiswa terhadap mata kuliah metode numerik dengan menggunakan yang berbeda, salah satunya terkait materi Iterasi Gaus Seidel. Penelitian dilakukan di satu universitas Muslim Nusantara Alwashliyah Medan. tepat pada semester enam tahun ajaran 2023/2024 atas tindakan kelas tiga tahap pelaksanaan siklus terdiri empat pertama yaitu pe...

In this paper we show that the conjecture of Lemmens and Seidel 1973 for systems equiangular lines with common angle arccos⁡(1/5) is true. Our main tool forbidden subgraphs smallest eigenvalue −5.

We describe the implementation and performance of an e cient parallel Gauss-Seidel algorithm that has been developed for irregular, sparse matrices from electrical power systems applications. Although, Gauss-Seidel algorithms are inherently sequential, by performing specialized orderings on sparse matrices, it is possible to eliminate much of the data dependencies caused by precedence in the ca...

PURPOSE We evaluated the effect of the renin angiotensin system (RAS) peptide NorLeu3-Angiotensin (1-7) (NLE) formulated in a viscoelastic gel (USB004) on the healing of full-thickness corneal injuries. METHODS Dutch pigmented rabbits received conjunctival administration of 0.3% USB004, 0.03% USB004, or vehicle-control to healthy and full-thickness injured eyes administered once daily for 28 ...