All Research Papers Published In SIAM Journal on Scientific Computing

Research Article
1
10.1137/24m168427x

A Dynamical Variable-Separation Method for Parameter-Dependent Dynamical Systems

May 09, 2025
SIAM Journal on Scientific Computing
Liang Chen + 3 more +3

Research Article
1
10.1137/23m1600414

Randomized Matrix-Free Quadrature: Unified and Uniform Bounds for Stochastic Lanczos Quadrature and the Kernel Polynomial Method

May 08, 2025
SIAM Journal on Scientific Computing
Tyler Chen + 2 more +2

Research Article
10.1137/24m1672262

Asymptotic Convergence of Restarted Anderson Acceleration for Certain Normal Linear Systems

May 07, 2025
SIAM Journal on Scientific Computing
Oliver A Krzysik + 2 more +2

Research Article
10.1137/23m1612512

Semi-implicit Eulerian Method for the Fluid Structure Interaction of Elastic Membranes

May 05, 2025
SIAM Journal on Scientific Computing
Mirco Ciallella + 1 more +1

Research Article
1
10.1137/23m1618193

Algebraic Construction of Adaptive Coarse Spaces for Two-Level Schwarz Preconditioners

Apr 10, 2025
SIAM Journal on Scientific Computing
Alexander Heinlein + 1 more +1

Research Article
10.1137/22m149404x

Efficient Fourier Representations of Families of Gaussian Processes

Apr 04, 2025
SIAM Journal on Scientific Computing
Philip Greengard

We introduce a class of algorithms for constructing Fourier representations of Gaussian processes in $1$ dimension that are valid over ranges of hyperparameter values. The scaling and frequencies of the Fourier basis functions are evaluated numerically via generalized Gaussian quadratures. The representations introduced allow for $O(N\log{N} + m^3)$ inference via the non-uniform FFT where $N$ is the number of data points and $m$ is the number of basis functions. Numerical results are provided for Matern kernels with $\nu \in [3/2, 7/2]$ and $\rho \in [0.1, 0.5]$. The algorithms of this paper generalize mathematically to higher dimensions, though they suffer from the standard curse of dimensionality.

Research Article
6
10.1137/24m1668809

Separable Physics-Informed Neural Networks for Solving the BGK Model of the Boltzmann Equation

Apr 04, 2025
SIAM Journal on Scientific Computing
Jaemin Oh + 4 more +4

Research Article
2
10.1137/24m1633467

On Enforcing Nonnegativity in Polynomial Approximations in High Dimensions

Apr 01, 2025
SIAM Journal on Scientific Computing
Yuan Chen + 2 more +2

Research Article
10.1137/24m1674182

A Narrow Band Finite Element Method for the Level Set Equation

Mar 12, 2025
SIAM Journal on Scientific Computing
Maxim A Olshanskii + 2 more +2

Research Article
19
10.1137/24m162861x

DeepONet Based Preconditioning Strategies for Solving Parametric Linear Systems of Equations

Feb 20, 2025
SIAM Journal on Scientific Computing
Alena Kopaničáková + 1 more +1