Приближенные методы решения задач, интерполяция, погрешности и оптимизация алгоритмов.


92 публикаций

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Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Error analysis of a finite element scheme for parametric mean curvature flow based on the DeTurck trick
Decoupling Runge-Kutta schemes for elliptic-parabolic problems
Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approcimations
Analytical and numerical methods for the stability analysis of linear fractional delay differential equations
An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue “Advanced Numerical Methods: Recent Developments, Analysis and Applications”
Preface of the Session “Computational Statistical Methods”
Convergence of adaptive finite element methods in computational mechanics
Adaptive Multi-Fidelity Structural Optimization under Fluid-Structure Interaction
Fast Reconstruction of Exact Maxwell Dynamics from Sparse Data
Multilevel Isogeometric Projection Stabilization via Quasi-Interpolation for Advection-Dominated Problems
Persistent-Homology-Guided Topology Scanning of Qualitative Indicators for Acoustic Inverse Scattering
Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations
Component-wise accurate computation of the square root of an M-matrix
Runge--Kutta numerical methods for ruin probabilities in classical risk model
Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains
Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation
A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion
Numerical methods in control
Analysis and numerical methods for fractional differential equations with delay
Computational and Numerical Methods for Combinatorial Geometric Series and its Applications
B-series and Runge–Kutta methods
Hyperinterpolation beyond exact cubature: a spectral multiplier approach
Two-scale neural networks for optimal control of linear convection-dominated equations
Numerical methods for optimal decumulation of a defined contribution pension plan
Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition
From Simple to Complex: Curriculum-Guided Physics-Informed Neural Networks via Gaussian Mixture Models
Fast algorithms for interpolation with clamped $L$-splines of order four
Measurement Selection Strategies for Position Estimation in Indoor Environments
Evaluation of External Magnetic Flux Density in Piezo-Flexomagnetic Nanobeams Using a Hybrid 1D-2D Finite Element Framework
Preface
Numerical Integration
Trees and forests
Error Analysis
A Penalty-Free Asymmetric Nitsche's Method for Edge Elements
Arbitrary-order structure-preserving discretizations for geometric curvature flows
Entropy-stable discretizations for the compressible Euler equations using simple adaptive averages
A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation
Dedication
Dedication
Spectral conjugate gradient projection methods for large-scale monotone equations without Lipschitz continuity
Travel-time tomography from mean field game dynamics
Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics
A Tearing and Interconnecting Formulation for Magneto-Quasi-Statics
B-Series and Geometric Integration
Computational Methods for Differential Equations: Numerical Solutions and Stability Analysis
Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1
Classification of Double Saddle-Point Systems
Wavelet-Based Observables for Koopman Analysis: An Extended Dynamic Mode Decomposition Framework
Adaptive Metrics for Norm-Minimization-Based Outer Approximation in Convex Vector Optimization
Introduction to Other Numerical Methods
Stochastic Convergence Analysis for Large-Scale Linear Discrete Ill-posed Problems
Computational aspects of the Volterra Signature
An explicit, energy-conserving particle-in-cell scheme for relativistic plasmas
Two Adaptive Methods
Breakeven complexity: A new perspective on neural partial differential equation solvers
Amortized Energy-Based Bayesian Inference
A Model of a Buoyancy-Driven Heat Exchanger, with Implications for Optimal Design
Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media
Copyright
Robust Numerical Methods for Singularly Perturbed Differential Equations
Differential Equations
Differential equations, numerical methods and algebraic analysis
Algebraic Analysis and Integration Methods
Simultaneous Methods
Matrix Methods
A Line--Search--Based Stochastic Gradient Method for 3D Computed Tomography
Cavity shape reconstruction with a homogeneous Robin condition via a constrained coupled complex boundary method with ADMM
Novel implementation of the extended sampling method for inverse biharmonic scattering
A Least-Squares Weak Galerkin Method for Second-Order Elliptic Equations in Non-Divergence Form
Hierarchical Transformer Preconditioning for Interactive Physics Simulation
Revisiting CUR Perturbation Analysis: A Local Tangent-Space Expansion
Numerical integration methods for the double-bracket flow
Numerical analysis in Lie groups
cmna: Computational Methods for Numerical Analysis
Numerical Methods for Roots of Polynomials, Part II
B-Series and Multivalue Methods
A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Convection--Diffusion
T-E formulation-based modeling of thin HTS shell magnetization
Nyström Approximation on Manifolds
Adaptive homotopy continuation for robust dispersion curve computation in viscoelastic waveguides: guaranteed branch identity continuity
Nonsmooth Set-Gradient Ascent to the Pareto Front via Layered Hypervolume and Magnitude Indicators
A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation
Sticky CIR process with potential: invariant measure and exact sampling
Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise
Finite Element Methods
5. Numerical Experiments
Finite Element Methods
A Majorization-Minimization with Monte Carlo Approach for Hyperparameter Estimation
Sticky CIR process with potential: invariant measure and exact sampling
A multigrid and neural network approach to reduce the computational cost of phi-FEM
Elastica++: A high-performance, multiphysics framework for large interacting assemblies of Cosserat rods