Titlebook: Supercomputing; 9th Russian Supercom Vladimir Voevodin,Sergey Sobolev,Rashit Shagaliev Conference proceedings 2023 The Editor(s) (if applic

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Field-Split Iterative Solver Vs Direct One for Quasi-Static Biot Equationroach. In this study, we calculate the approximate amount of floating point operations needed for the suggested technique as well as a direct method. Despite the direct solver’s superior OMP scalability over the iterative one, numerical experiments show that the iterative technique quickly converges and is advantageous for big Biot problems.

Kinetic

GPU-Accelerated Matrix Exponent for Solving 1D Time-Dependent Schrödinger EquationTDSE, we use the real-space representation and the matrix exponent method that is quite computationally expensive but is free from usual symmetry-based simplifications. For this purpose, we make use of the very high performance of modern Nvidia V100/A100 GPUs and deploy our parallel multi-GPU matrix multiplication algorithm.

自制

Mortal

Simulation of Free-Surface Fluid Dynamics: Parallelization for GPUs conditions on a geometrically complex surface. The digital elevation model defines such a boundary surface using standard 3D geometric solid modeling techniques. The dispersion properties of surface gravitational linear waves in the numerical model are in good agreement with the exact solution for a wide range of wavenumbers.

同时发生

Software Package USPARS for Large Sparse Systems of Linear Equations solving symmetric eigenvalue problems was developed based on the linear system solver. Through careful performance optimization, the package is competitive with popular solvers, as confirmed by numerical examples presented in the article.

染色体

Allodynia

locus-ceruleus

Block Algebraic Multigrid Method for Saddle-Point Problems of Various Physicsformulation in many cases allows not only to reduce the number of iterations, but also to solve problems that could not be solved earlier by the traditional AMG method. The proposed construction of block algebraic multigrid method is the direct extension of scalar Ruge–Stüben algebraic method for th

吊胃口

Computational Efficiency of Iterative Methods for Solving Inverse Problems for such physical effects as ultrasound diffraction, absorption, refraction and multiple scattering of ultrasound waves. Reconstructing a tomographic image using wave tomography involves solving a coefficient inverse problem for the wave equation. The objective is to minimize the residual functiona

MAUVE

Computer Memory Requirements for Matrix-Forming Approach to Global Stability Analysis of Fluid FlowsA key element of the GSA is the generalized eigenvalue problem. To solve this problem, the so-called matrix-forming approach is most often used, which implies the explicit formation of the Jacobian matrix of the right-hand sides of the fluid motion equations and the direct solution of corresponding