General matrix representations for B-splines

2000 ◽  
Vol 16 (3-4) ◽  
pp. 177-186 ◽  
Author(s):  
Kaihuai Qin
Keyword(s):  
Matrix Representations ◽  
General Matrix ◽  
B Splines

Matrix representations for multi-degree B-splines

2021 ◽  
Vol 381 ◽  
pp. 113007
Author(s):  
Carolina Vittoria Beccari ◽  
Giulio Casciola
Keyword(s):  
Matrix Representations ◽  
B Splines

General matrix representations for Bezier and B-spline curves

1982 ◽  
Vol 3 (1-2) ◽  
pp. 9-15 ◽  
Author(s):  
Elaine Cohen ◽  
Richard F. Riesenfeld
Keyword(s):  
Matrix Representations ◽  
B Spline ◽  
General Matrix ◽  
Spline Curves

The canonical form of invariant matrices

1970 ◽  
Vol 68 (1) ◽  
pp. 21-25 ◽  
Author(s):  
D. B. Hunter
Keyword(s):  
Canonical Form ◽  
General Matrix ◽  
Invariant Matrices

1. Introduction. Let A[λ] be the irreducible invariant matrix of a general matrix of order n × n, corresponding to a partition (λ) = (λ1, λ2, …, λr) of some integer m. The problem to be discussed here is that of determining the canonical form of A[λ] when that of A is known.

B-splines on sparse grids for surrogates in uncertainty quantification

2021 ◽  
Vol 209 ◽  
pp. 107430
Author(s):  
Michael F. Rehme ◽  
Fabian Franzelin ◽  
Dirk Pflüger
Keyword(s):  
Uncertainty Quantification ◽  
Sparse Grids ◽  
B Splines

scholarly journals Register-based implementation of the sparse general matrix-matrix multiplication on GPUs

2018 ◽  
Vol 53 (1) ◽  
pp. 407-408
Author(s):  
Junhong Liu ◽  
Xin He ◽  
Weifeng Liu ◽  
Guangming Tan
Keyword(s):  
Matrix Multiplication ◽  
General Matrix

scholarly journals Towards B-Spline Atomic Structure Calculations

Atoms ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 50
Author(s):  
Charlotte Froese Fischer
Keyword(s):  
Atomic Structure ◽  
Bound States ◽  
Virial Theorem ◽  
B Spline ◽  
B Splines ◽  
Self Consistent ◽  
History Of ◽  
Consistent Method ◽  
Atomic Structure Calculations ◽  
Structure Calculations

The paper reviews the history of B-spline methods for atomic structure calculations for bound states. It highlights various aspects of the variational method, particularly with regard to the orthogonality requirements, the iterative self-consistent method, the eigenvalue problem, and the related sphf, dbsr-hf, and spmchf programs. B-splines facilitate the mapping of solutions from one grid to another. The following paper describes a two-stage approach where the goal of the first stage is to determine parameters of the problem, such as the range and approximate values of the orbitals, after which the level of accuracy is raised. Once convergence has been achieved the Virial Theorem, which is evaluated as a check for accuracy. For exact solutions, the V/T ratio for a non-relativistic calculation is −2.

Extended isogeometric analysis using B++ splines for strong discontinuous problems

2021 ◽  
Vol 381 ◽  
pp. 113779
Author(s):  
Wenbin Hou ◽  
Kai Jiang ◽  
Xuefeng Zhu ◽  
Yuanxing Shen ◽  
Ping Hu
Keyword(s):  
Isogeometric Analysis ◽  
B Splines ◽  
Discontinuous Problems

scholarly journals Interpolation and Sampling with Exponential Splines of Real Order

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Peter Massopust
Keyword(s):  
Positive Real ◽  
B Splines

AbstractThe existence of fundamental cardinal exponential B-splines of positive real order $$\sigma $$ σ is established subject to two conditions on $$\sigma $$ σ and their construction is implemented. A sampling result for these fundamental cardinal exponential B-splines is also presented.

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