A NEW INTERPOLATED PSEUDODIFFERENTIAL PRECONDITIONER FOR THE HELMHOLTZ EQUATION IN HETEROGENEOUS MEDIA [0.03%]
求解非均匀媒质中亥姆霍茨方程的新插值伪微分预条件迭代算法
Sebastian Acosta,Tahsin Khajah,Benjamin Palacios
Sebastian Acosta
This paper introduces a new pseudodifferential preconditioner for the Helmholtz equation in variable media with absorption. The pseudodifferential operator is associated with the multiplicative inverse to the symbol of the Helmholtz operato...
Joe Kileel,Nicholas F Marshall,Oscar Mickelin et al.
Joe Kileel et al.
We devise fast and provably accurate algorithms to transform between an N × N × N Cartesian voxel representation of a three-dimensional function and its expansion into the ball harmonics, that is, the eigenbasis of the Dirichlet L...
FAST EXPANSION INTO HARMONICS ON THE DISK: A STEERABLE BASIS WITH FAST RADIAL CONVOLUTIONS [0.03%]
基于快速径向卷积的可调节盘面调和函数基底
Nicholas F Marshall,Oscar Mickelin,Amit Singer
Nicholas F Marshall
We present a fast and numerically accurate method for expanding digitized L × L images representing functions on [-1, 1]2 supported on the disk x ∈ R 2 : | x |
CLAIRE: A DISTRIBUTED-MEMORY SOLVER FOR CONSTRAINED LARGE DEFORMATION DIFFEOMORPHIC IMAGE REGISTRATION [0.03%]
CLAIRE：一种用于约束大变形微分同胚图像配准的分布式内存求解器
Andreas Mang,Amir Gholami,Christos Davatzikos et al.
Andreas Mang et al.
With this work we release CLAIRE, a distributed-memory implementation of an effective solver for constrained large deformation diifeomorphic image registration problems in three dimensions. We consider an optimal control formulation. We inv...
Thomas A HÖft,Bradley K Alpert
Thomas A HÖft
We present a numerical method to efficiently and accurately re-compute the Coulomb potential of a large ensemble of charged particles after a subset of the particles undergoes a change of position. Errors are bounded even after a large numb...
Klaudius Scheufele,Shashank Subramanian,Andreas Mang et al.
Klaudius Scheufele et al.
We present a novel formulation for the calibration of a biophysical tumor growth model from a single-time snapshot, multiparametric magnetic resonance imaging (MRI) scan of a glioblastoma patient. Tumor growth models are typically nonlinear...
J A Mackenzie,M Nolan,C F Rowlatt et al.
J A Mackenzie et al.
We propose a novel adaptive moving mesh method for the numerical solution of a forced curve shortening geometric evolution equation. Control of the mesh quality is obtained using a tangential mesh velocity derived from a mesh equidistributi...
PARAMETER AND UNCERTAINTY ESTIMATION FOR DYNAMICAL SYSTEMS USING SURROGATE STOCHASTIC PROCESSES [0.03%]
基于代理随机过程的动力系统参数和不确定性估计方法研究
Matthias Chung,Mickaël Binois,Robert B Gramacy et al.
Matthias Chung et al.
Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future experiments...
HIERARCHICAL ORTHOGONAL MATRIX GENERATION AND MATRIX-VECTOR MULTIPLICATIONS IN RIGID BODY SIMULATIONS [0.03%]
刚体模拟中的层次正交矩阵生成和矩阵向量乘法
Fuhui Fang,Jingfang Huang,Gary Huber et al.
Fuhui Fang et al.
In this paper, we apply the hierarchical modeling technique and study some numerical linear algebra problems arising from the Brownian dynamics simulations of biomolecular systems where molecules are modeled as ensembles of rigid bodies. Gi...
A SEMI-LAGRANGIAN TWO-LEVEL PRECONDITIONED NEWTON-KRYLOV SOLVER FOR CONSTRAINED DIFFEOMORPHIC IMAGE REGISTRATION [0.03%]
具有约束的图像配准问题的数值求解方法
Andreas Mang,George Biros
Andreas Mang
We propose an efficient numerical algorithm for the solution of diffeomorphic image registration problems. We use a variational formulation constrained by a partial differential equation (PDE), where the constraints are a scalar transport e...