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Hittade 5 uppsatser som matchar ovanstående sökkriterier.

1. 1. Inverse Heat Conduction problem of the Quenching a Rotary Cylinder by Multiple Water Impinging Jets

   Magister-uppsats, Högskolan i Gävle/Avdelningen för byggnadsteknik, energisystem och miljövetenskap

   Författare :Leticia Uriarte Sabín; [2021]
   Nyckelord :Quenching; Inverse solution; Unsteady heat conduction; Generalized minimum residual method; rotary cylinder;

   Sammanfattning : The thesis deals with solving the time dependent inverse heat conduction and heat transfer problem of the quenching process of a rotary solid cylinder by multiple impinging water jets. The development of such investigation consists of two parts that complement each other. LÄS MER

3. 2. A Relation Between Anderson Acceleration and GMRES

   Kandidat-uppsats, Lunds universitet/Matematikcentrum

   Författare :Gustaf Lorentzon; [2020]
   Nyckelord :Numerical analysis; acceleration methods; fixed-point iteration; generalized minimal residual method; GMRES; iterative methods; numerical linear algebra; finite difference method; Mathematics and Statistics;

   Sammanfattning : A very common type of problem within mathematics and numerical analysis are fixed-point problems, which can arise as sub-problems of optimization methods, differential equations solvers and much more. The most basic iterative approach for fixed-point problems is fixed-point iteration, special cases of which actually date back as far as the Babylonians, where it was used to to find the square roots of positive numbers. LÄS MER

4. 3. Improving the Finite Difference Approximation in the Jacobian-Free Newton–Krylov Method

   Kandidat-uppsats, Lunds universitet/Matematik LTH

   Författare :Robert Van Heyningen; [2016]
   Nyckelord :GMRES; Jacobian-free; Fluid; Mathematics and Statistics;

   Sammanfattning : The Jacobian-free Newton–Krylov (JFNK) method is designed to solve a linear system of equations that appears in Newton’s method. It uses the generalized minimal residual (GMRES) method to solve the linear system and a simple function to approximate the matrix-vector multiplications required in GMRES. LÄS MER

5. 4. Parallelization Of The GMRES Method

   Kandidat-uppsats, Lunds universitet/Matematik LTH

   Författare :Morgan Görtz; [2016]
   Nyckelord :GMRES; MPI; Technology and Engineering;

   Sammanfattning : In this thesis a GMRES method is constructed and tested. The method is implemented in a C++ program with the MPI protocol to make it parallel. The parallel parts of this program are discussed in detail, especially the communication and the partitioning of the data between the processes. LÄS MER

7. 5. Numerical Implementations of the Generalized Minimal Residual Method (GMRES)

   Kandidat-uppsats, Lunds universitet/Matematik LTH

   Författare :Ivo Dravins; [2015]
   Nyckelord :Generalized Minimal Residual Method; Jacobian-free; GMRES; Householder; Givens rotations; Gram-Schmidt; Mathematics and Statistics;

   Sammanfattning : The generalized minimal residual method (GMRES) is an iterative method used to find numerical solutions to non-symmetric linear systems of equations. The method relies on constructing an orthonormal basis of the Krylov space and is thus vulnerable to an imperfect basis caused by computational errors. LÄS MER