Efficient Numerical Methods for Heart Simulation

Efficient Numerical Methods for Heart Simulation

The heart is one the most important organs in the human body and many other live creatures. The electrical activity in the heart controls the heart function, and many heart diseases are linked to the abnormalities in the electrical activity in the heart. Mathematical equations and computer simulati...

Full description

Bibliographic Details
Other Authors:	Spiteri, Raymond J.
Language:	English
Published:	2015
Subjects:	partitioned methods efficient numerical methods simulation of electrophysiological models Rush-Larsen method exponential integrator ordinary differential equations stiffness bidomain model operator splitting Godunov method semi-implicit method unphysical oscillations Crank-Nicolson method SDIRK method L-stability
Online Access:	http://hdl.handle.net/10388/ETD-2015-04-2038

Similar Items

Stable time integration suppresses unphysical oscillations in the bidomain model
by: Saeed eTorabi Ziaratgahi, et al.
Published: (2014-07-01)

Numerical methods for simulation of electrical activity in the myocardial tissue
by: Dean, Ryan Christopher
Published: (2009)

A short introduction to digital simulations in electrochemistry: simulating the Cottrell experiment in NI LabVIEW
by: Soma Vesztergom
Published: (2018-05-01)

Dynamics of Bose–Einstein Condensates Subject to the Pöschl–Teller Potential through Numerical and Variational Solutions of the Gross–Pitaevskii Equation
by: Lucas Carvalho Pereira, et al.
Published: (2020-05-01)

A new method for solving a class of heat conduction equations
by: Tian Yi, et al.
Published: (2015-01-01)

A Crank-Nicolson finite difference approach on the numerical estimation of rebate barrier option prices
by: Nneka Umeorah, et al.
Published: (2019-01-01)

The Modeling of Nitrogen Mass Transport in CoCr Alloys
by: Petraitienė Akvilė
Published: (2016-12-01)

Monte Carlo method for solving a parabolic problem
by: Tian Yi, et al.
Published: (2016-01-01)

The Stefan problem with moving boundary
by: A. Scardua, et al.
Published: (2008-11-01)

A Galerkin Method for a Gaseous Ignition Model
by: M. Salman, et al.
Published: (2012-12-01)

Numerical study and stability of the Lengyel–Epstein chemical model with diffusion
by: Zain Ul Abadin Zafar, et al.
Published: (2020-08-01)

Iterative Speedup by Utilizing Symmetric Data in Pricing Options with Two Risky Assets
by: Dohyun Pak, et al.
Published: (2017-01-01)

A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations
by: Yanjie Zhou, et al.
Published: (2018-06-01)

Numerical Analysis of Transient Teflon Ablation with a Domain Decomposition Finite Volume Implicit Method on Unstructured Grids
by: Wang, Mianzhi
Published: (2012)

A Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems
by: Abbas Al-Bayati, et al.
Published: (2006-12-01)

Solutions of fractional-stochastic Bao’s system
by: Mustafa Inc, et al.
Published: (2020-12-01)

Numerical Analysis of Fisher Equation
by: Saad Manna, et al.
Published: (2006-07-01)

Determining European Options Values through Crank-Nicolson Method
by: Sorin MANOLE, et al.
Published: (2006-01-01)

The Finite Difference Methods for φ4 Klein-Gordon Equation
by: Saad Manaa, et al.
Published: (2008-12-01)

Energy-Stable Time-Domain Finite Element Methods for the 3D Nonlinear Maxwell's Equations
by: Asad Anees, et al.
Published: (2020-01-01)

Some results for the weak convergence of semi-implicit split-step methods
by: Burhaneddin İzgi, et al.
Published: (2019-03-01)

Numerical analysis for magnetohydrodynamic chemically reacting and radiating fluid past a non-isothermal uniformly moving vertical surface adjacent to a porous regime
by: Sahin Ahmed
Published: (2014-09-01)

Composite Backward Differentiation Formula for the Bidomain Equations
by: Xindan Gao, et al.
Published: (2020-12-01)

Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers’ equation
by: Ay Buket, et al.
Published: (2015-12-01)

The Crank–Nicolson finite element method for the 2D uniform transmission line equation
by: Hulin Ren, et al.
Published: (2020-04-01)

Time-Stepping Methods in Cardiac Electrophysiology
by: Roy, Thomas
Published: (2015)

The design of new high-order group iterative method in the solution of two-dimensional fractional cable equation
by: Muhammad Asim Khan, et al.
Published: (2021-08-01)

The Extended Family of 2ISD-Methods for Differential Stiff Systems
by: Vasilyev Evgeniy Ivanovich, et al.
Published: (2015-11-01)

Parallel Implicit Runge-Kutta Methods for Stiff ODEs
by: Bashir Khalaf, et al.
Published: (2004-12-01)

A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
by: Zhendong Luo
Published: (2016-08-01)

A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid
by: Muhammad Asim Khan, et al.
Published: (2020-10-01)

BBDF-alpha FOR SOLVING STIFF ORDINARY DIFFERENTIAL EQUATIONS WITH OSCILLATING SOLUTIONS
by: Ibrahim, ZB, et al.
Published: (2020)

BBDF-® for solving stiff ordinary differential equationswith oscillating solutions
by: Ibrahim, Z.B, et al.
Published: (2020)

Milstein-type semi-implicit split-step numerical methods for nonlinear stochastic differential equations with locally Lipschitz drift terms
by: Izgi Burhaneddin, et al.
Published: (2019-01-01)

A Numerical Model for Nonadiabatic Transitions in Molecules
by: Agrawal, Devanshu
Published: (2014)

Theoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past history
by: Adel M. Al-Mahdi, et al.
Published: (2021-08-01)

Crank-Nicolson Legendre spectral approximation for space-fractional Allen-Cahn equation
by: Wenping Chen, et al.
Published: (2019-05-01)

A decoupled Crank-Nicolson time-stepping scheme for thermally coupled magneto-hydrodynamic system
by: S. S. Ravindran
Published: (2017-12-01)

Numerical Solution for Sine-Gordon System in One Dimension
by: Saad Manna, et al.
Published: (2010-12-01)

On the numerical simulation of time-space fractional coupled nonlinear Schrödinger equations utilizing Wendland’s compactly supported function collocation method
by: Bahar Karaman
Published: (2021-01-01)