No, LVDS is digital. LVDS is "Low-Voltage Differential Signalling". LVDS for LCDs and DVI are electrically somewhat similar (they both use differential signalling at relatively low voltage), but the line coding is different. LVDS is simple NRZ (maybe 8B/10B) while DVI uses TMDS. The actual voltage and current specs also differ some.
LVDS is actually used for lots more than just LCD panels, but they are a common application. They are in fact so common, that saying "LVDS interfaced LCD" colloquially specifies a specific de-facto standard. The electrical side is somewhat specified by National Semiconductor as "FPDLink". TI also makes parts under the name "FlatLink". There's a JAE connector that lots of manufacturers seem to use (though there are unfortunately two different pinouts). On this connnector is panel power, some control signals including DDC, an LVDS clock (1/7th the bit rate on the data lines) and then 3/4 or 6/8 data pairs. The RGB data, DEN, and sync signals are placed into certain bit positions in the serialized data stream and sent to the panel which deserializes them back out into parallel digital RGB+sync supporting up to 18-bit color for 3 channels, 24-bit color for 4 channels, and then interleaved data on the 6/8 channel version to lower the clock rate as high resolution panels can have rather high data rates (it's 7x the pixel clock for 3/4 channels or 3.5x the pixel clock for 6/8 channels). This is similar to how dual-link DVI works.
The 3/4 channel version seems to only have a single pinout on the standardish connector. The 6/8 channel version has two. One just haphazardly adds the additional channels in while the other attempts to provide some compatibility. Of course, some laptops use a non-standard connector. I'm not a fan of that JAE connector, so I can understand why. The interface is usually still the same. Both of my laptops claim to have an LVDS panel interface.
Other things that use LVDS (it's a standard unto itself, though there are lots of tweakables) are PCI Express, SATA, SCSI (parallel at low speeds, SAS at much higher speeds), and IEEE-1394 aka Firewire. DisplayPort also uses a similar physical layer, though I've not confirmed if it is in fact LVDS compliant. SATA also has additional "out of band signalling" that makes it not strictly LVDS.
http://en.wikipedia.org/wiki/Low-voltage_differential_signalinghttp://en.wikipedia.org/wiki/FPD-Link