Finite Differences And Partial Differential Equations

Constructing unconditionally time-stable numerical solutions for mixed parabolic problems

Computers & Mathematics with Applications

Fast simulation of solid tumors thermal ablation treatments with a 3D reaction diffusion model

Computers in Biology and Medicine

Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing

Journal of Computational Physics

Semi-implicit time integration for PN thermal radiative transfer

Journal of Computational Physics

Explicit finite difference schemes adapted to advection-reaction equations

International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering

Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations

Mathematics and Computers in Simulation

Recent advances in 2+1-dimensional simulations of the pattern-forming Kuramoto-Sivashinsky equation

Mathematics and Computers in Simulation

Parallelization of Advection-Diffusion-Chemistry Modules

Large-Scale Scientific Computing

Genetic algorithms with Nelder-Mead optimization in the variational methods of boundary value problems

WSEAS Transactions on Mathematics

Stability analysis of implicit time discretizations for the Compton-scattering Fokker-Planck equation

Journal of Computational Physics

On the numerical solution of the heat conduction equations subject to nonlocal conditions

Applied Numerical Mathematics

An improved algorithm and its parallel implementation for solving a general blood-tissue transport and metabolism model

Journal of Computational Physics

Evolution of Probability Distribution in Time for Solutions of Hyperbolic Equations

Journal of Scientific Computing

Genetic algorithms with Nelder-Mead optimization for the finite elements methods applied on non-linear problems in fluid mechanics

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements

Elevation cable modeling for interactive simulation of cranes

Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation

On the solution of p-Laplacian for non-Newtonian fluid flow

WSEAS Transactions on Mathematics

Delays and oscillations in networks of spiking neurons: a two-timescale analysis

Neural Computation

Conditionally Stable Multidimensional Schemes for Advective Equations

Journal of Scientific Computing

Simulation of directional microphones in digital waveguide mesh-based models of room acoustics

IEEE Transactions on Audio, Speech, and Language Processing

Multi-level parallelism for the cardiac Bidomain equations

International Journal of Parallel Programming - Special issue on the 19th international symposium on computer architecture and high performance computing (SBAC-PAD 2007)

High-order unconditionally stable FC-AD solvers for general smooth domains II. Elliptic, parabolic and hyperbolic PDEs; theoretical considerations

Journal of Computational Physics

Stability analysis and time-step limits for a Monte Carlo Compton-scattering method

Journal of Computational Physics

Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering

Journal of Computational Physics

Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model

Journal of Computational Physics

Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides

Parallel Computing

Consistency of finite difference approximations for linear PDE systems and its algorithmic verification

Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation

Anisotropic diffusion for effective shape corner point detection

Pattern Recognition Letters

High-performance modeling acoustic and elastic waves using the parallel Dichotomy Algorithm

Journal of Computational Physics

A fuzzy approach for robust reference-tracking-control design of nonlinear distributed parameter time-delayed systems and its application

IEEE Transactions on Fuzzy Systems

Richardson extrapolated numerical methods for treatment of one-dimensional advection equations

NMA'10 Proceedings of the 7th international conference on Numerical methods and applications

Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations

Journal of Computational Physics

The Domain Decomposition Method for Maxwell's Equations in Time Domain Simulations with Dispersive Metallic Media

SIAM Journal on Scientific Computing

Mint: realizing CUDA performance in 3D stencil methods with annotated C

Proceedings of the international conference on Supercomputing

A stability analysis of a real space split operator method for the Klein-Gordon equation

Journal of Computational Physics

Iterative learning control for spatio-temporal dynamics using Crank-Nicholson discretization

Multidimensional Systems and Signal Processing

Chestnut: a GPU programming language for non-experts

Proceedings of the 2012 International Workshop on Programming Models and Applications for Multicores and Manycores

Qualitative and quantitative cellular automata from differential equations

ACRI'06 Proceedings of the 7th international conference on Cellular Automata for Research and Industry

Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics

Journal of Computational Physics

MetaHybrid: combining metamodels and gradient-based techniques in a hybrid multi-objective genetic algorithm

LION'05 Proceedings of the 5th international conference on Learning and Intelligent Optimization

Discrete bi-Laplacians and biharmonic b-splines

ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings

Consistency analysis of finite difference approximations to PDE systems

MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science

An accurate finite-difference method for ablation-type Stefan problems

Journal of Computational and Applied Mathematics

High-order compact finite difference scheme for option pricing in stochastic volatility models

Journal of Computational and Applied Mathematics

Multi-layer illustrative dense flow visualization

Computer Graphics Forum

One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem

SIAM Review

Penalty Methods for the Solution of Discrete HJB Equations—Continuous Control and Obstacle Problems

SIAM Journal on Numerical Analysis

A Second-order Finite Difference Method for Option Pricing Under Jump-diffusion Models

SIAM Journal on Numerical Analysis

Surprising computations

Applied Numerical Mathematics

New Analysis of the Du Fort---Frankel Methods

Journal of Scientific Computing

A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrödinger equation

Journal of Computational and Applied Mathematics

An exact and efficient first passage time algorithm for reaction-diffusion processes on a 2D-lattice

Journal of Computational Physics

Operator splitting ADI schemes for pseudo-time coupled nonlinear solvation simulations

Journal of Computational Physics

Operator splitting methods for Maxwell's equations in dispersive media with orientational polarization

Journal of Computational and Applied Mathematics

On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions

Journal of Computational and Applied Mathematics

Modeling the Vocal Tract Transfer Function Using a 3D Digital Waveguide Mesh

IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)

ALE-DGSEM approximation of wave reflection and transmission from a moving medium

Journal of Computational Physics

Closed Form Solution and Equivalent Equation Approximation of Linear Advection by a Non Dissipative Second Order Scheme for Step Initial Conditions

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications

Error dynamics of diffusion equation: Effects of numerical diffusion and dispersive diffusion

Journal of Computational Physics