Product integration method Mixed finite elements Prion Solvability conditions Numerical simulations Cancer 92C37 Euler characteristic Agent-based models Nitsche's method Immune response Spectral stability Energy dissipation Variational inequality Geophysical fluid dynamics Entropy method Age-structured PDE Alzheimer Contact Amplitude equation Chronotherapy Blow-up History-dependent boundary condition Flow convexity Harmonic limit Finite volumes Kinetic formulation Prions Hopf bifurcation Elasticity Bloch-Torrey equation Coulomb friction Cell dynamics Anti-diffusive method Asymptotic analysis Abbreviated action integral Finite element Transport equations Diffusion magnetic resonance imaging Partial differential equations Biot system Cardiac diffusion imaging Cauchy problem Cell population dynamics Dispersion relationship Compressible flows Diffusion limit Clot growth Shallow water equations Asymptotic convergence Circadian clock Delay differential-difference system Plasma physics Cell cycle Contact problem Fredholm integral equation Convergence Viscoelasticity Multiscale modeling Traveling waves Apparent diffusion coefficient Diffusion encoding gradient Cross diffusion Navier-Stokes equations Hele-Shaw Hamiltonian dynamics Stability Fracture propagation Kinetic equation Traveling wave Data completion Delay differential equations Homogenization Energy conservation Finite elements Bergman kernel Elastodynamics Error bounds Navier-Stokes system Dynamical core Entropy Asymptotic expansion Kinetic equations Unilateral contact Fixed-stress iterative coupling Cellular differentiation Stochastic partial differential equations Mass redistribution method Finite volume scheme Differential equations Linear elasticity Hematopoietic stem cells Tresca’s friction law Finite element method Stokes equations Blood coagulation Existence of pulses HWI inequality Dynamics Hematopoiesis